The Dansgaard-Oeschger 1470 year climate cycle is anomalistic

Posted: June 13, 2020 by oldbrew in climate, data, solar system dynamics
Tags: ,


This is easily shown from the 74 Jupiter-Saturn conjunctions in the period:
1 J-S = 19.865036 sidereal years = 19.865036*365.25636 days = 7255.8307
(7255.8307*74) / 365.259636 (anomalistic year) = 1469.99945 (1470)

So Earth reaches its perihelion with the Sun exactly 1470 times per 74 J-S.

Both numbers are even, so why is the Dansgaard-Oeschger event not at half the period?
The short answer is: Neptune.

In 1470 years there are 41 Saturn-Neptune conjunctions, not an even number.

The triple conjunctions of J,S and N (see example in graphic below) coincide with Earth’s perihelion at 1470 years — according to the numbers that is, but of course average values can have +/- variations.

From a 2015 paper on the 1470-year cycle:
An astronomical correspondence to the 1470 year cycle of abrupt climate change
A. M. Kelsey, F. W. Menk, and P. T. Moss
Received: 09 Sep 2015

Abstract. The existence of a ~ 1470 year cycle of abrupt climate change is well-established, manifesting in Bond ice-rafting debris (IRD) events, Dansgaard–Oeschger atmospheric temperature cycle, and cyclical climatic conditions precursory to increased El Niño/Southern Oscillation (ENSO) variability and intensity. This cycle is central to questions on Holocene climate stability and hence anthropogenic impacts on climate (deMenocal et al., 2000). To date no causal mechanism has been identified, although solar forcing has been previously suggested. Here we show that interacting combination of astronomical variables related to Earth’s orbit may be causally related to this cycle and several associated key isotopic spectral signals. The ~ 1470 year climate cycle may thus be regarded as a high frequency extension of the Milankovitch precessional cycle, incorporating orbital, solar and lunar forcing through interaction with the tropical and anomalistic years and Earth’s rotation.

https://www.clim-past-discuss.net/cp-2015-146/

– – –
Quote: ‘To date no causal mechanism has been identified’.

The planetary conjunctions, and the Jupiter-Saturn synchronisation with Earth’s anomalistic year, can offer such a mechanism for the detected ‘abrupt climate change’.

Note: re. ‘interaction with the tropical and anomalistic years’ – we might return to that in a later post.


Example of 1470 year conjunction cycle, via Arnholm’s solar simulator: click to enlarge. The Sun is where the lines meet – note similarity of positions.
[Red crosshairs meet at the solar system barycentre]

Comments
  1. oldbrew says:

    Sahara pump theory

    Around 12,500 BC, the amount of dust in the cores in the Bølling/Allerød phase suddenly plummets and shows a period of much wetter conditions in the Sahara, indicating a Dansgaard-Oeschger (DO) event (a sudden warming followed by a slower cooling of the climate). [bold added]

    https://en.wikipedia.org/wiki/Sahara_pump_theory
    – – –
    Heinrich events

    Heinrich event, any of a series of at least six large discharges of icebergs that carried coarse-grained rocky debris, apparently from North American ice sheets, into the North Atlantic Ocean at latitudes between 40° and 55° N, where the debris was later deposited on the ocean floor as the icebergs melted. Heinrich events are thought to be associated with sudden climate warming events that occurred between approximately 60,000 and 16,800 years ago during the most recent ice age of the Pleistocene Epoch (about 2.6 million to 11,700 years ago). However, some paleoclimatologists have suggested that additional episodes also occurred. Heinrich events, named for German marine geologist Hartmut Heinrich, are thought to be related to Dansgaard-Oeschger events and Bond cycles in the climate record. [bold added]

    https://www.britannica.com/science/Heinrich-event

  2. tallbloke says:

    Bond was more focused on cold events, and they have a tighter regularity near 1470 years than the warm epochs between them.

  3. Chaswarnertoo says:

    So not CO2 then? 😇

  4. oldbrew says:

    Re. Bond paper:
    Pacings of the Holocene events and of abrupt climate shifts during the last glaciation are statistically the same; together, they make up a series of climate shifts with a cyclicity close to 1470 +/- 500 years.

    1470/3 = 490
    2*490 = 980

    The +/- 500y and millennial periods?

  5. oldbrew says:

    The Bond paper again:

    Our composite record further suggests that the Holocene and glacial event pacings
    are nearly the same as those of the prominent Dansgaard/Oeschger [d]18O shifts of the
    last glaciation, especially in marine isotope stage 3 where they are best developed (Fig.
    7, A and B). That finding implies that Dansgaard/Oeschger cycles were not forced
    by internal instabilities of large ice sheets during glaciations, as some have suggested
    (3), but instead originated through processes linked to the climate cycle. Similarly, the
    consistent association of Heinrich events with cold phases of the cycle (Fig. 6) supports
    arguments by Bond and Lotti (7) that climate plays a fundamental role in their origin.

    From the Discussion:
    The Little Ice Age, therefore, appears to have been the most recent cold phase in the series of millennial-scale cycles.
    . . .
    In any case, if we are correct that the 1470-year climate cycle is a pervasive component of Earth’s climate system, it must be present in previous glacial-interglacial intervals. If that turns out to be true, the cycle may well be the pacemaker of rapid climate change .
    [bold added]
    – – –
    A ‘pacemaker of rapid climate change’ needs no human input.

  6. E.M.Smith says:

    If you look at the fall of ancient empires, it looks like there is a 1/2 Bond Event cycle too.

    https://chiefio.wordpress.com/2011/02/22/intermediate-period-half-bond-events/

    Not as strong but still happens. Bond Event 1 was about 536 AD. That makes 1271, or 735 years later and close to the 1300 A.D. start of the Little Ice Age, a 1/2 Bond Event. The big one is still to come.

    536+1470 = 2006 or about the time globull warming stopped and we started having cold “unusual weather”:

    https://www.iceagenow.info/snow-at-mt-baker-and-mt-rainier-thru-wednesday/
    https://www.iceagenow.info/june-snow-in-northwestern-ontario-brings-town-wide-power-outages

    11 June 2020 – Snowplows travelling up and down the street and green trees covered in white isn’t something you want to wake up to on a June morning, but that’s just what greeted several communities in Northwestern Ontario.”

    Pickle Lake saw a rare heavy dumping of June snow on Thursday and is currently without power.

    Parts of Northwestern Ontario received a rare dumping of June snow, with Pickle Lake seeing as much as 10 centimetres with snow still falling Thursday morning.

    I don’t think you can predict down to the year, maybe not even the decade. 536 AD has evidence for a big volcano letting go… but I do think you must respect the cycle lengths in broad terms and not assign the Little Ice Age to a Bond Event when it started about 1300-536= 764 years after the prior one.

  7. tallbloke says:

    E.M. I hope you’re wrong, but I worry you’re right.

  8. Tim Spence says:

    So it’s ~ 1470. Lowest/least common denominator is 3, could that be important?

  9. tallbloke says:

    All even numbers are divisible by 2.

  10. oldbrew says:

    When the 3 biggest planets of the solar system come into line with each other and the sun, expect things to happen.

  11. E.M.Smith says:

    I’d love to be wrong on that.

    There is another theory that says it isn’t a 1470 year metronome but that is an average of 2 other period lengths. Something like 1800 and 1200. So instead of getting really worried, I just try to hope they are right and we’ve got a couple of hundred more years…

    Unfortunately, the evidence for that is based on irregularities in the oldest Bond Event intervals where our dating precision is worst.

    There’s also folks claiming the period is closer to 1000 years, because of some old short interval events, but we miss some in the record. My worry is that’s just misdating the 735 year half cycle events.

    Compare events 5 through 8
    https://en.wikipedia.org/wiki/Bond_event

    “Eight such events have been identified. Bond events were previously believed to exhibit a roughly c. 1,500-year cycle, but the primary period of variability is now put at c. 1,000 years”

    6200 BC to 7400 BC or 1200 years

    7400 to 8300 BC or 900 years

    8300 to 9100 BC or 800 years.

    But the dates are rather fuzzy precision.

    The DO events are better dated and they show a more regular 1470

    https://en.wikipedia.org/wiki/Dansgaard–Oeschger_event

    Although the effects of the Dansgaard–Oeschger events are largely constrained to ice cores taken from Greenland, there is evidence to suggest that D-O events have been globally synchronous. A spectral analysis of the American GISP2 isotope record showed a peak of [18O:16O] abundance around 1500 years. This was proposed by Schulz (2002) to be a regular periodicity of 1470 years. This finding was supported by Rahmstorf (2003); if only the most recent 50,000 years from the GISP2 core are examined, the variation of the trigger is ±12% (±2% in the 5 most recent events, whose dates are probably most precise).

    However the older parts of the GISP2 core do not show this regularity, nor do the same events in the GRIP core. This may be because the first 50 kyr of the GISP2 core are most accurately dated, by layer counting. The climate system response to the trigger is varying within 8% of the period. Oscillations within the Earth system can be expected to be far more irregular in period. Rahmstorf suggests that the highly regular pattern would point more to an orbital cycle. Such a source has not been identified.

    But even it gets ragged on old dates…

    Personally, I find the periodic collaps of empires enough to show something bad regularly happens.

  12. oldbrew says:

    Bond Event 1 was about 536 AD

    Uranus and Neptune were opposed at this time. A lot of other planetary conjunctions occurred in quick session around the same time.

    In the early 1990s U-N were conjunct and we know what happened to global temperatures then. The combined effect of U-N (which lasts for a while as they are very slow-moving) and other solar-planetary events can make a difference. Knowing which difference to expect is the tricky part.

    Having said that, the D-O cycle is about Jupiter, Saturn, Neptune and Earth so Uranus is not in play there, or at least not in as big a way.

  13. Tim Spence says:

    “All even numbers are divisible by 2.”

    Well, yeah, that’s true. I meant… apart from 2.

  14. oldmanK says:

    See also
    https://www.researchgate.net/publication/11616606_Persistent_Solar_Influence_on_North_Atlantic_Climate_During_the_Holocene

    Click to access Balascio_ClimateofPast_2015.pdf

    All are based mainly on the same source/proxy. However the more correlating points occur with the Eddy cycle. Plus several other proxies and data as per example link below:

    https://melitamegalithic.wordpress.com/2018/06/29/searching-evidence-3/

    The C/N ratio, and to an extent the sedimentation rate, correlate to Eddy cycle, the roots in particular. The %HSG show abrupt changes that correlate to two Eddy roots in between. The 3195bce is a well known date (3200 event). It is the Eddy cycle that produces most correlations, and such number cannot be by chance. There are more correlations to other proxies.

    To note also that North Atlantic proxies correlate with Med and other places; ie global events.

  15. oldbrew says:

    Another quote from the Bond paper:

    Thus, the pacings of the Holocene and
    glacial events are the same statistically, and
    together the two series constitute a cyclic
    signal centered on ~1470 +/- 532 years. The
    signal persists across at least three major
    climate transitions
    : the Younger Dryas–
    Holocene transition, the deglaciation, and
    the boundary between marine isotope stages
    2 and 3, which we have dated at ~30,000
    years (Fig. 7A and Table 1). The implication of
    this finding is clear: The millennial-scale
    variability in our records reflects the presence
    of a pervasive, at least quasiperiodic, climate
    cycle occurring independently of the
    glacial-interglacial climate state
    .

    [bold added]
    – – –
    So the ‘signal’ will happen anyway, and its effects depend to some degree at least on the state of the global climate at that time.

  16. tallbloke says:

    This is an experimental integration of the Steinhilber 10Be Solar proxy filtered at the Hallstatt (Bray) cycle length, vs the GISP2 ice core. There is no correction for orbital forcing, so it’ll be ‘running hot’ at the modern end.

    Just thought I’d bring it to the party.

  17. oldbrew says:

    TB – is the date spread the same in both graphs?

  18. oldmanK says:

    tallbloke, look how your graph fits in my ‘search’ (bottom pic).
    https://melitamegalithic.wordpress.com/2019/03/15/searching-evidence-update-2/

    Note the 5200, 3200bce dates, both abrupt changes in % north Atlantic ice rafting (proxy in earlier link). Both Eddy cycle root.

    Incidentally do note Minoan warm period, at about 1300bce, Eddy cyc rt after 2345bce (Dodwell). It is the start of the Minoan civilisation collapse ( see Youtube 1177 B.C.: When Civilization Collapsed | Eric Cline https://www.youtube.com/watch?v=M4LRHJlijVU ) Incidentally Dr Cline worked with Prof A Nur who has been pushing forward earthquakes in historic crossroads and ‘Tectonic rotations’.

    The last remaining Eddy rt is at 300bce. Maybe someone will fill in the historic details. Details from a ‘climate’ perspective. 264bce was the initiation of Punic Wars. But what was the natural driver there? An Eddy rt; but what else?

  19. tallbloke says:

    Hi oldmanK, it looks like you added my curve to your plot in blue?
    If you want to display an image here, just remove everything after the filetype extension (.jpg in this case).

  20. oldmanK says:

    tallbloke: Yes. Takes some fiddling with the ‘Time’ axis in Photoshop to superimpose correctly. I have found many a correlation that way; and some surprises.

  21. oldbrew says:

    The ~ 1470 year climate cycle may thus be regarded as a high frequency extension of the Milankovitch precessional cycle, incorporating orbital, solar and lunar forcing through interaction with the tropical and anomalistic years and Earth’s rotation.

    We have a candidate period for the tropical years, which has some scientific backing already in terms of its duration. Still firming up some details.

  22. Paul Vaughan says:

    Let the record reflect that discussion is no longer free, no matter the topic.

    There’s no point in debate. Even worse: Witnessing citizens willingness to debate tells puppet-masters they’ve designed effective cages (i.e. false-assumption frameworks facilitating naive self-containment).

    So few would recognize the truth it doesn’t matter to slave-masters. Conservatives (not talkshoppers specifically) should launch a discussion of eastern religion (left has done their homework, right hasn’t) if we value freedom. China’s a decoy, not the real threat on the most dangerous front (there’s more than 1 kind of deep state).

    The real threat is databases of fake-karma-integrals measured by corrupt-IT-monopoly judges aiming to apply the left-defintion of “bad” to create a new very populated out-caste in society with no access to jobs, money, internet, and housing. Picking allies who are all lies = fatal cost. Fear of China drove conservatives into something worse. Wake up. It’s getting too dangerous to stay on topic in prescribed boxes.

    These people mean not to kill but to maim and torture. They want living examples leftover. The new left is pure harassment to make right-believers wish for death. Switch-flipping at extreme rate, they’re creating an example to point to for future young left: “That is what will happen to you if you have the right beliefs.”

    What the right is presently doing is not working. The deepest possible reassessment is in order. It doesn’t matter that people will vote on common sense — the government will go the other way ANYWAY ….again and again and again and again they will find a way to PROMISE common sense (only to inflate a bigger vote-tent) and then NOT deliver it. They want the eccentric votes but they don’t do eccentric governance even when the deepest truth is profoundly eccentric by brain-dead-middle standards.

    Didn’t mean to lose you there, but there is no comment free of the disgusting broader context in which we now suffer profoundly. Back on topic for a minute:

    Material science is not spatiotemporally uniform.
    “Physics” is a cage based on false assumptions.
    A lot of people are curiously eager to assign themselves to that false-assumption cage.

    Number theory, discrete-continuous relations, and aliasing are ORDERS OF MAGNITUDE more important climate factors than anything falling under the category “physics” in discussion (in quotes because it’s not the real thing when it’s savagely based false assumptions).

    I have tons of material, but it’s a low and remote priority given the present zero balance times of insecurity and instability. We’re going to have to work with Russia and China as security partners as they are the only ones who are trustworthy on security and stability. We can work with India on freedoms and compassion. India’s way of thinking is at sharp odds philosophically with Russia’s. This is the root cause of climate discussion death. Russia keeps pushing debate. It won’t work.

  23. Paul Vaughan says:

    As some of you know I’ve been exploring monstrous (Ramanujanian) limits.
    All (or almost all) the material needed for review is at least linked from Suggestions (including the limit of the generalized form of the next line).

    22.1392169328854 = (1.61803398874989^29+1/14.5)^(2.71828182845905/14.5+1/29)
    19.8650359947419 = 4/(1/22.1392169328854*(1+(13*11)^(1/4))-2/304407)
    19.8650360864628 = 1/(1/11.8626151546089-1/29.4474984673838)
    -0.000000461720 = % error

    For years now everything I post is in Julian years (the norm in astronomy according to my understanding).

    Recently I started to post all over the place instead of sticking to Suggestions. That’s a response to Suggestions getting too heavily cluttered with video and pdf windows (which I never ever click). Once there are video and pdf windows on a thread it jams up the browser so badly (repeated long hangs and endless page-loads) it becomes impractical to deal with it.

    I’m going to start leaving out a lot of detail. Time is stressed. My numeric messaging will become totally incomprehensible in response to present times.

  24. Paul Vaughan says:

    Remember that a series of these converges on 104 (Ramanujan).
    Here we pick out something special about level 18.
    104.007114381762 = ⌊(e^√18π)^(1/2)⌉^2 – e^√18π

    What’s special about it?
    Primorial links to sporadic simple groups:
    4*(13*11*7*5*3)^(1/4) = 44.2783394595719

    31.0567368376795 = (104.007114381762)*(44.2783394595719) / (104.007114381762 + 44.2783394595719)

    Cut that down by 2 levels of phi (thank cue Maya …again – for the tip) :
    11.8626178923327 = 0.381966011250105*31.0567368376795
    11.8626151546089 = 1 / J
    0.000023078585 = % error

    λ	1/λ	1-λ	1/(1-λ)	(λ-1)/λ	λ/(λ-1)
    0.618033988749895	1.61803398874989	0.381966011250105	2.61803398874989	-0.618033988749895	-1.61803398874989
    1.61803398874989	0.618033988749895	-0.618033988749895	-1.61803398874989	0.381966011250105	2.61803398874989
    0.381966011250105	2.61803398874989	0.618033988749895	1.61803398874989	-1.61803398874989	-0.618033988749895
    2.61803398874989	0.381966011250105	-1.61803398874989	-0.618033988749895	0.618033988749895	1.61803398874989
    -0.618033988749895	-1.61803398874989	1.61803398874989	0.618033988749895	2.61803398874989	0.381966011250105
    -1.61803398874989	-0.618033988749895	2.61803398874989	0.381966011250105	1.6180339887499	0.618033988749895
    

    https://en.wikipedia.org/wiki/Modular_lambda_function
    https://en.wikipedia.org/wiki/Cross-ratio#Six_cross-ratios_and_the_anharmonic_group
    https://en.wikipedia.org/wiki/Projective_harmonic_conjugate#Iterated_projective_harmonic_conjugates_and_the_golden_ratio

    So much more ground to cover. I’m going to have get even faster an looser. Tornado. Clean-up later.

  25. Paul Vaughan says:

    I haven’t shared anything graphic yet, but remember that I generalized the method so it works with anything. People thought it was some big mystery. Actually it’s automatic once discretely generalized.

    104.000034332275 = ⌊(e^√58π)^(1/4)⌉^4 – e^√58π
    77.0945462293206 = (298)*(104.000034332275) / (298 + 104.000034332275)
    29.4474963123504 = 0.381966011250105*77.0945462293206
    29.4474984673838 = 1 / S
    -0.000007318222 = % error
    11.8626147721831 = (29.4474963123504)*(19.8650359947419) / (29.4474963123504 + 19.8650359947419)
    8.4561457463176 = (29.4474984673838)*(11.8626151546089) / (29.4474984673838 + 11.8626151546089)
    22.1384760036895 = 8.45614537428544*2.61803398874989
    22.1384769776823 = φφ/(J+S)

    So the thing to notice is we’re getting some sharp differentiation where we used to see only 3 things approximately equal to 22.14 with a bit of blur. Now we see 1/JEV, φφ/(J+S), & primorial discretely interlinked. The small differences were telling us something even though we already had the general picture. Now we know we’re dealing with limits and hierarchical intersections of sieves.

    See how it links to 36750 (& thus 980 & 1470 & 5256)? LEFT as a mystery ….for now.

    Tip: Level 7.

  26. Paul Vaughan says:

    1728 = 4*396*(1+1/11)

    Everything below here came to me in a sudden flash while kayaking a month ago.

    15015=(13+11+7+5+3)*(36750/147+5256/36-11)
    15015= 13*11*7*5*3

    125=5^3=(396-146)/2
    250=396-146
    1000=(2*5)^3=1584-584=4*(396-146)

    This sentence says nothing just to help the filter decide to allow this comment.

    146=396-36750/147
    147=36750/(396-146)
    147=36750/(396-5256/36)
    396=36750/147+146
    396=36750/147+5256/36
    5256=36*(396-36750/147)
    36750=(396-5256/36)*147
    36750=(396-146)*147

    Those are all numbers I derived previously with systematic discrete-continuous methods — usually labeled 5256 since it first dialed me into the more generalized framework.

  27. Paul Vaughan says:

    I’m deleting floods of exposition. One cryptic note:
    Adjustment date:ln 4 ~= Φ√5 = 1.38196601125011

    Let there just be numbers.

    15009.1608487337 = 5482096 / 365.25
    15009.1608413362=(13+11+7+5+3)*(36750.3379015986/147.004737646227+5256.63940169013/36.0290781181824-11.0696157491918)+1+1.38196601125011/365.25

    5482096 (Mayan)
    5482095.99729803=365.25*((13+11+7+5+3)*(36750.3379015986/147.004737646227+5256.63940169013/36.0290781181824-11.0696157491918)+1)+1.38196601125011

    -0.000000049287 = % error

    A site search of the long numbers (all from 5256 context) should link you to the talkshop threads where I derived them.

  28. Paul Vaughan says:

    Leech Lattice 4096 at level 7 (try several powers — covered this before — search topshock keywords something like “march orders” for links to corona scatter-shot).
    Take reciprocal of mod 24.
    Unique: Level 7 will stand out. 1 spike over a sea of flat.
    Boris Johnson is responsible for Trump’s shitty polling numbers. Johnson signaled surrender repeatedly. Like I said: It looks like Trump WANTS to lose.
    There’s no time to slow down and explain.
    Trump should do something big and positive with China asap.
    People won’t understand monster if explained. They will only take it as lunatic rant. So no more mnemonic devices to aid memory. Just raw cryptic notes.
    Last tip for today: 29.453 (if you did the hinted calculations correctly). This is seed.

  29. tallbloke says:

    PaulV: Once there are video and pdf windows on a thread it jams up the browser so badly (repeated long hangs and endless page-loads) it becomes impractical to deal with it.

    I hear you, and will try to find a way to switch off pdf embedding. It’s an unwanted and unaskedfor wordpress ‘feature’.

    Leech lattices and all that monstrous group symmetry stuff is fascinating. I found some U-N numbers embedded in ‘the monster’ years ago.

  30. Paul Vaughan says:

    The core frequency of our solar system ties directly to the Leech Lattice (a story for another day).

    Taking a minute to focus on what OB has shown:

    ———————————————–

    Sharpening OB’s estimates (which drift over time) ties in monstrous moonshine:

    738.143065592427 = e^√11π – ⌊(e^√11π)^(1/3)⌉^3
    11.0660201528826 = (164.791315640078)*(11.8626151546089) / (164.791315640078 + 11.8626151546089)
    122.456802024004 = 11.0660201528826^2
    146.812824318595 = (738.143065592427)*(122.456802024004) / (738.143065592427 – 122.456802024004)

    My Chinese friends work smart. They earn their profit quick and have time for hiking. They believe in “work hard, play hard”.

    We should never look to people who (bully family members aggressively to) work 80 hours a week for “FREEDOM” allies. 80 hours a week is slavery.

    Compare and contrast numbers above and below.

    ⌊ 19.8650360864628 / 1.00002638193018 ⌉ = ⌊19.8645120222935⌉ = 20
    19.8650360864628 / 20 = 0.993251804323141
    146.618441154195 = (1.00002638193018)*(0.993251804323141) / (1.00002638193018 – 0.993251804323141)

    ⌊ 35.8545526210295 / 1.00002638193018 ⌉ = ⌊35.8536067336798⌉ = 36
    35.8545526210295 / 36 = 0.995959795028597
    244.919411406521 = (1.00002638193018)*(0.995959795028597) / (1.00002638193018 – 0.995959795028597)

    ⌊ 244.919411406521 / 146.811044907566 ⌉ = ⌊1.66826284467034⌉ = 2
    244.919411406521 / 2 = 122.459705703261
    11.0661513500973 = √122.459705703261
    738.29357812856 = (146.811044907566)*(122.459705703261) / (146.811044907566 – 122.459705703261)

    Nearly-aligned sieves are “monster lunatic” stuff by “sensible” conventional mainstream standards. OBviously the simplest truths of discrete-continuous relations are not suitable for anything but losing (outsourced) US political debate.

    The corrupt fake-karma-integral judges aren’t going to let something so simple stop them from attempting Hearts control. Those people THRIVE on instability and they DELIGHT in causing it.

    That’s how they create opportunities and take advantage. That’s why we have to work with our Chinese partners on security. China is an unsuitable partner for so many things, but China reliably, strongly wants — and needs — stability. Furthermore, this is not incompatible with the needs of other southeast Asian nations.

    Global stability is not a bad thing.
    We work with different partners on different issues.

    People still don’t get what Jose Rial taught us about DO. Hence DO freaks out security people too much. DO can’t dominate the global agenda (behind the scenes).

  31. Paul Vaughan says:

    See equations listed above in XEV context (where X=J,S,U,N) over here:

    https://tallbloke.wordpress.com/2020/05/11/solar-planetary-recap-part-one-the-11-year-schwabe-cycle/comment-page-1/#comment-157849

    At that link note 294/2 = 147. You’ll find 36, 146, 18, 9, 11 interlaced all through XEV discrete-continuous relations. Scroll around on the linked page to see some of them. Links from that page go to more formal algebraic derivations I gave on a “net zero” (Rupert Dhariwal) discussion.

    The U-N thing TB remembers came up on a Zharkova discussion and again later on a Scafetta discussion (invariant orbital) …but these example are only tip-of-the-iceberg. I also reviewed it under the codename “21 pilots” when OB brought up the 4622 thing again (I was using song lyrics to aid memory — it works extremely well so 99% more is retained for easy recall without needing to scan a gazillion numbers in a file trying to remember “what was that thing??… it’s an adaptation of “the method of loci” — a memory technique also know as “mind palace”).

    The piece of the puzzle we were missing years ago is that we’re dealing with inequalities — which reach equality only in limits. With enough experience exploring with an open mind we noticed things converging on the same things from both sides.

    Monstrous moonshine helps us understand it can’t be any other way. Basically I would describe it as a recursion framework where seeds and offspring interlace. The approximate equalities one starts noticing quickly (in inputs and outputs on what only appear to be unrelated branches) become so extensive one realizes it’s impractical to catalog them all. It helped me understand why Conway called it “the voice of God”.

    Here I will spend an extra minute on one of the most striking features of all:

    0.0679047747389632 = ⌊(e^√7π)^(1/1)⌉^1 – e^√7π

    24.067904774739 = ⌊(e^√7π)^(1/2)⌉^2 – e^√7π
    24.067904774739 = ⌊(e^√7π)^(1/3)⌉^3 – e^√7π
    24.067904774739 = ⌊(e^√7π)^(1/4)⌉^4 – e^√7π
    24.067904774739 = ⌊(e^√7π)^(1/6)⌉^6 – e^√7π
    24.067904774739 = ⌊(e^√7π)^(1/12)⌉^12 – e^√7π

    4096=2^12 (Tip: Leech Lattice)
    24=4096-4072
    Look for these numbers when you do the listed calculations. ⌊x⌉ means round-off x.

    I think Ramanujan tricked people who didn’t realize how to generalize what he was doing. He could come up with these intriguing equations that seemed to come out of nowhere, but there was a simple generator. Some people who otherwise love math hate number theory because of stuff like this.

    Note well:
    0.0679047747389632 = 24.067904774739632 mod 24

    14.7265049305319 = 1 / 0.0679047747389632
    29.4530098610638 = 2 * 14.7265049305319

    This is for n = 7 and r = 2, 3, 4, 6, 12.
    ⌊(e^√nπ)^(1/r)⌉^r – e^√nπ

    I brought this up before on a chemistry theme (a comment intended for January but delayed until after the virus outbreak and split into multiple comments instead of the original one intended). This is repeat, but some repetition may be needed before the link to the Leech Lattice sinks in deeply.

    Take a minute to try n = 1…74.
    You’ll find nothing spiking anywhere near this level.

    4096 = 64^2
    4096 = 16^3
    4096 = 8^4
    4096 = 4^6
    4096 = 2^12
    If you did the calculations you encountered all of these.

    There’s your dose of daily mystery. Hopefully enough to get a US democratic party fan to look up 4096 in the Leech Lattice of health, wealth, and western freedom from misapplied eastern religion (fake karma integrals as recorded by corrupt judges in an IT-monopoly’s database to prescribe poverty and homelessness to out-caste the right believers).

    Leaving it there for today.

  32. oldmanK says:

    This morning I decided to take a look at the first Wiki link re the DO ‘mystery/anomaly’, from my end trying to make sense of it. The section ‘Timing’, the first 2para make interesting reading, in that it (the anomaly) can be looked at from another perspective, – dynamics- . Plus more.

    The DO seems to be a minor signal superimposed on other more forceful signals. That it is ~1.5*980 may make it ‘bask in the limelight of others’ by compounding the main effect of other stronger forcings. Since the important factor is what dictates changes on Earth that threaten life, it would seem the main culprit is not DO.

    A second important point is the chronology of the ice-cores. Evident are questionable variations in the timing. Global changes ought to synchronise. Quote “The dating between the European GRIP ice core, and the American GISP2 ice core differs by about 5000 years at 50,000 years BP.” They should synchronise also with Antarctica – Vostok-, and Equatorial – kilimanjaro-. My delving there showed that synchronicity showed up other changes that are absolutely ignored; -obliquity-. Then the changes as in para 3 of Wiki make more sense. They are not drivers but resulting effects.

  33. Paul Vaughan says:

    Something else we can do is anchor the axis, just like we do with JEV.
    OB achieves this a different way, but that leaves slip.

    It’s helpful to understand a diversity of indices AND the properties of each to learn from comparing and contrasting as a good taxonomist does.

    I will never be satisfied with series that come and go — the way the lunar people think — i.e. event series. I always want to define an attractor, but even there, there are hierarchies of philosophy.

    Here I’m just going 1 level up the hierarchy by anchoring the axis.

    It doesn’t need to stop there, but some may find it confusing enough just to follow far enough to see how that’s derived — and btw this is in the realm of mathematical proof — i.e. it leaves no room for dispute — it’s either you get it or you don’t — and maybe you just need more unstrained time with deeper focus – or whatever – to understand.

    Here the “Challenger” of J & S (if you remember the mnemonic device I’ve used countless times — for example on Suggestions) is the terrestrial anomalistic year. It “challenges” the harmonic mean of J & S. (This is loose talk to help you remember. You’ll have to visualize the geometry to develop a deeper conceptual understanding.)

    19.8650360864628 = (29.4474984673838)*(11.8626151546089) / (29.4474984673838 – 11.8626151546089)
    8.4561457463176 = (29.4474984673838)*(11.8626151546089) / (29.4474984673838 + 11.8626151546089)

    16.9122914926352 = (29.4474984673838)*(11.8626151546089)/((29.4474984673838+11.8626151546089)/2)

    1.06287430192139 = (16.9122914926352)*(1.00002638193018) / (16.9122914926352 – 1.00002638193018)
    0.944195932093405 = (16.9122914926352)*(1.00002638193018) / (16.9122914926352 + 1.00002638193018)

    Then look at slip-rates. You can get lost in a factorial maze of interlocking slip cycles. We’re not doing that here. We’re just picking out a few relevant to 1470 for comparison with others I’ve shown on a past 1470 thread and elsewhere.

    ⌊ 19.8650360864628 / 1.06287430192139 ⌉ = ⌊18.6899203890359⌉ = 19
    19.8650360864628 / 19 = 1.04552821507699
    64.0643092420633 = (1.06287430192139)*(1.04552821507699) / (1.06287430192139 – 1.04552821507699)

    0.265718575480347 = 1.06287430192139 / 4

    ⌊ 19.8650360864628 / 0.265718575480347 ⌉ = ⌊74.7596815561436⌉ = 75
    19.8650360864628 / 75 = 0.264867147819504
    82.6613045910583 = (0.265718575480347)*(0.264867147819504) / (0.265718575480347 – 0.264867147819504)

    ⌊ 82.6613045910583 / 16.9122914926352 ⌉ = ⌊4.88764663422783⌉ = 5
    82.6613045910583 / 5 = 16.5322609182117
    735.726108630139 = (16.9122914926352)*(16.5322609182117) / (16.9122914926352 – 16.5322609182117)

    1471.45221726028 = 2 * 735.726108630139

    2.1140364365794 = 8.4561457463176 / 4

    ⌊ 64.0643092420633 / 2.1140364365794 ⌉ = ⌊30.3042597249279⌉ = 30
    64.0643092420633 / 30 = 2.13547697473544
    210.557967398536 = (2.13547697473544)*(2.1140364365794) / (2.13547697473544 – 2.1140364365794)

    ⌊ 210.557967398536 / 64.0643092420633 ⌉ = ⌊3.28666569404432⌉ = 3
    210.557967398536 / 3 = 70.1859891328454
    734.507029522618 = (70.1859891328454)*(64.0643092420633) / (70.1859891328454 – 64.0643092420633)

    1469.01405904524 = 2 * 734.507029522618

    We’ve seen almost exactly these numbers fall out before. I don’t have time to do a round-up of the near 122.5, 245, 490, 735, 980, & 1470 periods derived. They are scattered all over the place.

    …including 1 I did for Mercury THE DAY BORIS BLEW OUR TRUST AND SCREWED OVER RUSSIA, CHINA, AND USA ALL IN 1 DIRTY SHOT. Boris may well have cost us something VERY important we’ll now NEVER be able to get back. Maybe Boris is keeping a nostalgic eye on the empire: “Keep your friends close AND YOUR ENEMIES CLOSER.” We can’t trust him. That’s for sure. Backstabber. He COMPLETELY undermined the UK’s credibility right at a CRUCIAL juncture. What a dumb-ass.

    I love throwing in some rants like that, knowing some readers look at NONE of the numbers. Catering to a mixed audience: it isn’t that hard.

    I pulled out enough attractors to see there is a “grand” attractor beyond the attractor clusters. I’ve yet to devise the grand attractor metric (haven’t even made time to start on that), but conceptually it’s just a step up the hierarchy and a good civil servant should be able to “do it for your country” or “for the love of God” or whatever at this stage. Who knows when I’ll bother. Maybe never. There are always too many new things to explore. I like to leave rote refinement to technicians while I run off and explore new things.

  34. Paul Vaughan says:

    oldmanK, luminaries aren’t ignoring your fascinating obliquity insights — they just haven’t yet had the combination of data and revelation to see any more deeply — whether via material science, geometry, a combination – or whatever. Be aware mainstream HEAVILY censors on 1470. It’s at the paranoid-abusive level of interference. One school of thought has it that military planners STRONGLY believe in 1470 and that is why they push the global warming bullshit story so hard — as part of an energy security plan with details they can’t publicize (just classified shit they push on allies and security partners) …but if that’s the case we’re not in competent hands because it’s obvious they have not understood Jose Rial’s key insight.

    – –

    MODERATORS: Comment HEAVY on 1470 calculations is caught in the filter. Please release. Thanks.

  35. Paul Vaughan says:

    Here’s another interesting one that falls out:

    ⌊ 19.8650360864628 / 0.944195932093405 ⌉ = ⌊21.0391036555511⌉ = 21
    19.8650360864628 / 21 = 0.945954099355372
    508.009693889489 = (0.945954099355372)*(0.944195932093405) / (0.945954099355372 – 0.944195932093405)

    ⌊ 508.009693889489 / 9.93251804323141 ⌉ = ⌊51.146113370081⌉ = 51
    508.009693889489 / 51 = 9.96097438998998
    3476.8186758528 = (9.96097438998998)*(9.93251804323141) / (9.96097438998998 – 9.93251804323141)

    ⌊ 3476.8186758528 / 64.0643092420633 ⌉ = ⌊54.2707588201075⌉ = 54
    3476.8186758528 / 54 = 64.3855310343111
    12841.0172361952 = (64.3855310343111)*(64.0643092420633) / (64.3855310343111 – 64.0643092420633)

    25682.0344723904 = 2 * 12841.0172361952
    Remember Laskar’s p = 25685.

  36. Paul Vaughan says:

    Mods: 2 calc-laden comms stuck in filter now – & more to come. Ton of stuff. Just flooding it out. No more of this fluffy words BS they had me doing. Back to raw and unrefined, the way good music SHOULD be. “Security” partners they call them. Well then it will be a damned insecure world if that’s what we have to rely on….

  37. oldbrew says:

    oldmanK – re . “The DO seems to be a minor signal superimposed on other more forceful signals.”

    Maybe, but that might depend on what state the Earth’s climate is in at the time. It has its own frequency i.e. 1470 anomalistic years and possibly lesser harmonics (1/3, 2/3, 1/2, 1/4 etc.) thereof.

    It will just turn up with those J-S-N alignments and their impact on the sun, and evidence supports some sudden (in multi-decadal terms) climatic effects which then slowly wear off.

  38. Paul Vaughan says:

    The planet isn’t synchronized as a unit. The column ozone records show that clearly by latitude even without longitude (stuff I illustrated years ago). There were some really bright people commenting that they’d never stopped to think outside the union …but they should have known from tropical SST, polar ice, vs. tropical rain — all different – but related – cycles. People underestimate the capacity of gradients and material science to flip spatiotemporal switches. My strong suggestion: We shouldn’t debate. We should throw explorations, insight, and commentary side-by-side to illuminate from countless perspectives. Debate is a weapon of savage freedom-killers — became CRYSTAL clear in recent months. I think God was teaching us we can’t take freedom and security for granted given that we’re stuck mixed with those vicious, hateful people.

  39. oldbrew says:

    Understanding abrupt climate change: the importance of orbital insolation (2009)
    Jose Rial, R Saha

    University of North Carolina, Department of Geological Sciences, Chapel Hill, NC USA

    The causes of abrupt climate change are still largely uncertain. The extraordinary paleoclimate time series of stable oxygen isotopes from Greenland’s ice cores (e.g., GRIP, GISP2, NGRIP) show abrupt regional temperature increases of up to 15°K occurring in just a few decades, both during the last glacial period and in the transition to the present interglacial. During the last ice age, a repeating pattern of abrupt warming, gradual cooling, and abrupt cooling resulted in trains of pulse-like warming events with a distinctive sawtooth appearance, commonly known as the Dansgaard-Oeschger (DO) oscillations. As the prime example of abrupt climate change, the DO provide clear evidence that extremely rapid climate change (warming as well as cooling) occurs in human timescales, making their study highly relevant to the assessment of present and future climate variability risk. This paper presents simulations of the DO time series over tens of millennia obtained with a fully coupled, 3D climate model whose results are tested, confirmed and cross-validated with much simpler models. The latter are useful to gain a better understanding of the physics behind the results of the former, and possibly behind abrupt climate change. We compare the time series of several climatic variables (sea ice extent, deep ocean temperature, ocean mean density) obtained with a climate model of intermediate complexity (ECBilt-Clio), two zero-dimensional stochastic or ‘noisy’ oscillators (a stochastic differential equation of the Langevin form and a noisy nonlinear oscillator based on the van der Pol equation), and a 6-box ocean model. We show that when it is run without external forcing ECBilt-Clio produces DO-like oscillations for most climatic states except under boundary conditions characterizing PreIndustrial Holocene or the Last Glacial Maximum (LGM), a result fully consistent with the data. For intermediate climates the simulated DO-like time series shows bi-stable behavior of the main climate variables, which jump from one state to another at seemingly random times with no apparent trigger. The resulting time series show randomly distributed, pulse-like warming and cooling events, many of which are similar to those in the ice cores. These are in turn, and not surprisingly, closely reproduced with the simple Langevin equation. More importantly, forcing these simulated climate jumps with the orbitally-induced summer insolation function produces ensembles of time series with average features very similar to the GRIP data. The thermohaline circulation (THC) as simulated with ECBilt-Clio shows normal modes of thermal oscillation (mostly constrained to the Arctic ocean) with power at periods in the range 1300-1500 years. Periodic signals with periods within this range are found in actual paleoclimate data, so that we used these values in the nonlinear van der Pol model for the natural (linear) frequency of the oscillator. Again, when the insolation forcing is introduced both models closely reproduce the Greenland’s ice core time series. We conclude that the effect of the orbitally-induced insolation is of fundamental importance in regulating the timing and the duration of the DO oscillations. For instance, when insolation is relatively constant and high (low), its effect is to merge the unstable jumps into long periods of stable warm (cold) climate when only very few jumps occur (as during the PI Holocene and the LGM). In contrast, the strongest climate changes tend to occur when the insolation is changing fastest, as for instance during the BøllingAllerød and Younger Dryas episodes that mark the rapid transition from the last ice age to the current interglacial. At the present time the insolation is again changing fast and so the models predict that natural strong climatic changes may be forthcoming. How and whether these may affect the ongoing anthropogenic climate change is currently being investigated.
    [bold added]

    https://iopscience.iop.org/article/10.1088/1755-1307/6/1/012013/meta

    ‘Clear evidence’. Above is the whole article.

  40. Paul Vaughan says:

    Probably tomorrow I’ll show you how to take that 1 step further and tie it to something general.

    “beam of light…. and I ran – I ran so far away – I couldn’t get away” — “Aurora Borealis” a flock of seagulls

    Trump has a weird sense of who the enemies and allies are — I’ll give him that …but again, maybe it’s “keeping your friends close AND YOUR ENEMIES CLOSER”….

    I think time is running out and we need to get a lot clearer really quickly. China made a HUGE mistake by showing the world lockdown — a SEVERE mistake mimicked widely by vicious savages, destroying billions of lives’ health and wealth to save so few — but China, Iran, and Pakistan will make better security partners than some of the other options one might consider.

    I’ll show you how to nail Saturn’s orbital period with monstrous moonshine. It will help you understand why you should not be so fearful of things like China. There are far more terrifying things to fear and I suspect Trump is gone if he can’t learn that really quickly.

    Here’s the appetizer:
    2^(half Jupiter’s period)

    What do you notice about that number?

  41. Paul Vaughan says:

    OB: Rial showed us something simple and luminary. That isn’t it. I posted the graph on Suggestions-42. Despite his luminary insight (the integral), he (like so many others) misunderstands – or misinterprets – what is changing rapidly. Those step changes indicate exactly what? Not what people think continuously. This is discrete material – and circulatory – science. If the military doesn’t relent on this I imagine the world is going to suffer something absolutely terrible. This really worries me. It’s probably this stuff freaking out the world economic forum. Someone is misleading them into a trap maybe, but with so much information classified (lots of it total bullshit I suspect) I can’t do the whole fair assessment.

  42. oldmanK says:

    PV thank you for your input.

    I would like to add one or two relevant comments here.
    Re the comment in the Rial paper, quote: “–the DO provide clear evidence that extremely rapid climate change (warming as well as cooling) occurs in human timescales–” . The devil is in the detail. Profs Lonnie Thompson at the Equatorial Quelccaya ice-cap had found preserved under ice soft bodied plants. They were preserved for near 5kyrs. Preserved, because they were at the growth season next to the permanent ice-line. They were preserved because freezing was abrupt and permanent; overnight so to speak. Quelccaya is at latitude ~14deg., and according to my sources was at a tropic ~5ky ago; ie max temp/insolation reduction.

    A second point is on planetary alignments, the J S N combination (N?? – very far). I figure their gravitational influence is ‘what does it’. However there is more. The moon is a small body but its nearness has its effect. This question was solved thru archaeology. Ancient Akkadian texts on the Flood has it that the gods, in their effort to destroy mankind, set “–– The date of the Flood was set at the end of the lunar month, on the darkest night of the month when the moon is invisible–” . The moon was in-line with the sun, and whatever other planets – Trigon+moon?? Is the moon a joker in the pack?

  43. Paul Vaughan says:

    I’m going to throw a tip in here before getting back on point.

    Level 25 gives 152 which goes with all the 104s to make 256 which is on the 2^ power-ladder while in the other direction (subtraction) they pair to make 48 (twice 24 which is a key unit in modular construction).

    152.000658869743 = ⌊(e^√25π)^(1/2)⌉^2 – e^√25π

    We see hinging on numbers congruent to 1 mod 24, but they sort according to primality — e.g. 25=5^2 is not prime and pairs to form internal modules but 73 is prime and all monster factors fall below it. 49 is the square of 7 which also gives us an approximation we’ve seen before:

    S^(-1) ~= 7^(+2)*π^(-2)*2^(-1)*J^(-1) = 29.4473881096835
    J^(-1) ~= 7^(-2)*π^(+2)*2^(+1)*S^(-1) = 11.8626596112148

    We’re learning a task: map where things nearly-discretely lie on limit ramps.

    Approximations based on 7 also came up under codename “heathens” on the Scafetta orbital invariant discussion and under “white rabbit” (mnemonic devices to assist memory) on Suggestions — for example:

    22.1348630064402 =
    (5^(1/2)+1)*(7-1)/(1/((7^0)+1/((7^1)+1/((7^1)+1/((7^2)+1/((7^3)+1/((7^5)+1/(7^8))))))))

    Monstrous moonshine seeds Saturn’s pace.

    Here’s a cookbook example.
    We settle on something quite precise with little leftover mystery.

    constant ingredients:
    φ = 1.61803398874989
    φφ = 2.61803398874989
    ΦΦ = 0.381966011250105

    Are you ready to follow some simple cookbook recipes?
    They all make exactly the same thing.

    node frequency ~= 0.0679047747389632 (derived above)
    node period ~= 14.7265049305319
    orbital period seed = 29.4530098610638

    φφ*seed = 77.1089808872509
    roundoff seed = 29
    √ = 5.3851648071345
    *π = 16.9179941964641
    / 2 = 8.45899709823203
    beat with seed = 11.8673322610352

    2 routes to same destination from here

    first route:
    half = 5.93366613051759
    2^this = 61.1239609423448
    scale by φφ = 160.02460727408
    beat with φφ*seed = 148.817960154094
    axial period = 52.0353716209614
    roundoff = 149
    roundoff = 52
    double = 298
    double = 104
    axial period = 77.0945273631841
    scale by ΦΦ = 29.4474891061275

    alternative route to same destination from 11.8673322610352:
    beat with seed = 19.8757569687403
    beat with seed = 61.1240898176173
    scale by φφ = 160.024944673923
    beat with φφ*seed = 148.817668357469
    axial period = 52.0354072962948
    roundoff = 149
    roundoff = 52
    double = 298
    double = 104
    axial period = 77.0945273631841
    scale by ΦΦ = 29.4474891061275

    Another pair of routes to same destination

    29 and 11 are Saturn & Jupiter floors
    add 11 to floored seed 29
    29 + 11 = 40
    √ = 6.32455532033676
    *π = 19.8691765315922
    beat with seed = 61.0618979064056
    axial period with seed = 11.8649860259102

    first route:
    half = 5.93249301295511
    2^this = 61.0742786155301
    scale by φφ = 159.894537253839
    beat with φφ*seed = 148.930627010416
    axial period = 52.0216109608228
    roundoff = 149
    roundoff = 52
    double = 298
    double = 104
    axial period = 77.0945273631841
    scale by ΦΦ = 29.4474891061275

    the alternative route starting at 61.0618979064056:
    scale by φφ = 159.862124136546
    beat with φφ*seed = 148.958758430548
    axial period = 52.0181794881801
    roundoff = 149
    roundoff = 52
    double = 298
    double = 104
    axial period = 77.0945273631841
    scale by ΦΦ = 29.4474891061275

    Remember 298 = 2*104+61+29 = 208+61+29 (covered in January Suggestions when the cookbook recipe was first introduced).

    We now know there’s a slightly better 1/S estimate using level 58’s near-104 (shown above).

    Aside: Level 58 — spotlighted by Ramanujan — has some unique properties including the nested integer 82 that pairs with 104 to form a lattice tying together several things we’ve noted before.

    The 1/J estimate above is based on 29 – 11 = 18, but I’m not ready to say the story on J is done.

    In coarse outline there’s a primorial seed:

    Jupiter nodes ~= 6 = 3#
    twice that = 12
    Saturn orbit ~= 30 = 5#
    half that = 15 ~= Saturn nodes
    double it = 60 ~= JS “60 year” cycle

    But we see discrete adjustment corresponding with monstrous moonshine.
    We’re striving to see how the discretion is organized.

    Compare and contrast.
    Taxonomy.
    Mnemonic devices to assist so much needed memory to sort it all out.

    Eventually someone will write a terse expression to represent the whole system. We explore and maybe do a little pioneer work, but we’ll be long gone (either dead or exploring elsewhere) when by natural succession more flat folk come along to shine up diamonds we left in the rough.

    I suspect some security council navigation and guidance departments of militaries and/or nuclear physics branches already have the terse expression classified or intellectual-property-righted. All the clues point to a break-through to a wider audience (luminaries such as Ramanujan & Mayans and whoever understood had already been there) just before the iron curtain fell.

    Generalizing to spatiotemporal across material science could solve problems presently considered “spatiotemporal chaos”. The most likely path would be one luminary figures it out — where almost no other would be able — and then teaches others rote application. The civilization-level limiting factor would be the freedom of that luminary. Very few are prepared for the course.

    The key thing to notice in the here-and-now is Saturn can’t escape the discrete nature of the Leech Lattice straight jacket. If you haven’t done it yet, graph the function to see the single towering spike. It’s not an “unexpected surprise” but rather something simple that was there to simply notice.

  44. Paul Vaughan says:

    When I repeatedly refer to Rial (because I know people missed something fundamentally important), I’m referring primarily to this:

    Did Rial have other good points — and may some misinterpretations too? Sure, but I’m putting all of that aside to narrow a focus on something important that he nailed. This isn’t even about 1470. Did I really need to write that sentence in bold? It shouldn’t be necessary. Again: This is about the integral.

  45. Paul Vaughan says:

    …and note that the unit is spatiotemporal (NOT JUST TEMPORAL). The events aren’t globally uniform. The structure’s a spatiotemporal differintegral.

    Sole focus on step-changes in localized event metrics with discrete components can miss the forest.

    People want to study events (trees)? That’s fine. There’s a legacy issue there where they study events without bothering to even fathom attractor (forest) structure.

  46. Paul Vaughan says:

    Wait until you start easily seeing more linkages than you have time to catalog and you’ll get why Conway calls it “the voice of God”. It’s like a neverending swim through a flood of revelations once you start fishing a way. This is math: everything connects to everything.

    Double-up for one more delight.
    √28 = 2√7

    16777216 = 4096^2

    16777216 = 64^4
    16777216 = 16^6
    16777216 = 8^8

    196585.011874415 = ⌊(e^√28π)^(1/4)⌉^4 – e^√28π
    196585.011874415 = ⌊(e^√28π)^(1/6)⌉^6 – e^√28π
    196585.011874415 = ⌊(e^√28π)^(1/8)⌉^8 – e^√28π

    Round-off:
    196585

    Note a few curiosities along the way:
    196883 mod 24 = 11 = 59 mod 24
    196585 mod 24 = 1 = 49 mod 24
    196560 mod 24 = 0

    Weight a minute… we just saw these above:
    196585 – 196560 = 25
    196883 – 196585 = 298
    https://en.wikipedia.org/wiki/Leech_lattice
    (1^2+2^2+3^2+…+24^2) = 70^2 = 4900

    √4900 + 1 = 71
    71 – 24 = 47
    (47+71)/2 = 59
    71*59*47 = 196883

    7.5*4900 = 36750
    3*4900/5/2 = 1470
    4900/5 = 980
    4900/5/2 = 490

    All your favorite cycles in 1 Mayan container.
    It should be renamed Monstrous Mayan Moonshine.

  47. Paul Vaughan says:

    Pointing this out in case it isn’t obvious when reviewing:
    18 is the only 104-yielding level that is NOT squarefree.
    It’s not squarefree because it factors as 2*3^2 where 3^2 is a square.
    Consider other 104-yielding levels: 10, 13, 22, 37, 58.
    Remember that 10, 13, 18, & 22 form a 3,4,5-triangle (as previously covered).
    Also remember that some of the low levels yield 104 harmonics — notably the non-squarefree level 4 which is easy to recognize because it ties intuitively to the Mayan scale 6.5, 13, 26, 52, 104, 208:
    -6.49165552476461 = ⌊(e^√4π)^(1/2)⌉^2 – e^√4π
    Number theory people use all sorts of tests for classification of levels. You should see some of the tables where they try to arrange and sort the taxonomy. I call it clutter. They aren’t finished the job, but they know they’re mining from a rich vein.

  48. tallbloke says:

    From one of the wordpress happiness engineers:

    “We were chatting about the PDF files showing as embedded files instead of as links in your post comments.

    I will continue investigating this issue and be in touch with more information soon.”

  49. Paul Vaughan says:

    Plan ET: 7

    Reviewed discussion.
    Noticed something U-missed.

    We have fun laughing about mainstream assumptions.
    Are they (whoever ‘they’ are) assuming whole-number multiples?

    Ask the question: of what?
    Remember I clarified even further (much later) after this:

    https://tallbloke.wordpress.com/2020/03/12/analysis-of-the-1470-year-dansgaard-oeschger-climate-oscillation/#comment-156206

  50. Paul Vaughan says:

    Anomalistic U±N

    171.406220601552 = (164.791315640078)*(84.016845922161) / (164.791315640078 – 84.016845922161)
    55.6462717641972 = (164.791315640078)*(84.016845922161) / (164.791315640078 + 84.016845922161)

    Harmonic Mean
    111.292543528394
    = (164.791315640078)*(84.016845922161)/((164.791315640078+84.016845922161)/2)

    “Challenger” Splits Harmonic Mean (how to anchor axis)
    1.00909365857261 = (111.292543528394)*(1.00002638193018) / (111.292543528394 – 1.00002638193018)
    0.991120603343454 = (111.292543528394)*(1.00002638193018) / (111.292543528394 + 1.00002638193018)

    0.495560301671727 = 0.991120603343454 / 2
    0.247780150835863 = 0.991120603343454 / 4

    ⌊ 171.406220601552 / 0.247780150835863 ⌉ = ⌊691.767359182439⌉ = 692
    171.406220601552 / 692 = 0.247696850580277
    736.784810157939 = (0.247780150835863)*(0.247696850580277) / (0.247780150835863 – 0.247696850580277)

    ⌊ 171.406220601552 / 0.495560301671727 ⌉ = ⌊345.88367959122⌉ = 346
    171.406220601552 / 346 = 0.495393701160554
    1473.56962031588 = (0.495560301671727)*(0.495393701160554) / (0.495560301671727 – 0.495393701160554)

    ⌊ 171.406220601552 / 0.991120603343454 ⌉ = ⌊172.94183979561⌉ = 173
    171.406220601552 / 173 = 0.990787402321108
    2947.13924063176 = (0.991120603343454)*(0.990787402321108) / (0.991120603343454 – 0.990787402321108)

    ⌊ 2947.13924063176 / 171.406220601552 ⌉ = ⌊17.1938873063576⌉ = 17
    2947.13924063176 / 17 = 173.361131801868
    15200.2691460143 = (173.361131801868)*(171.406220601552) / (173.361131801868 – 171.406220601552)

    Auriga:
    152 – 104 = 48 = 2*24
    152 + 104 = 256 = 2^8
    152.000658869743 = ⌊(e^√25π)^(1/2)⌉^2 – e^√25π

    With scaling 2*2*5*5 = 4*25 = 10*10 = 100 :
    -0.001337206848 = % error

  51. Paul Vaughan says:

    Meandering through miscellaneous puzzle stock, there are various things to note.

    256 = 152 + 104
    256 / 10 = 25.6
    25.6 / 2 = 12.8
    12.8 / 2 = 6.4

    Remember the 744-yielding levels (e.g. 19, 43, 67 — spaced by 24 as we noted).

    ⌊ 35.8545526210295 / 1.00002638193018 ⌉ = ⌊35.8536067336798⌉ = 36
    35.8545526210295 / 36 = 0.995959795028597
    244.919411406521 = (1.00002638193018)*(0.995959795028597) / (1.00002638193018 – 0.995959795028597)

    ⌊ 244.919411406521 / 19.8650360864628 ⌉ = ⌊12.3291702235277⌉ = 12
    244.919411406521 / 12 = 20.4099509505434
    744.050931404774 = (20.4099509505434)*(19.8650360864628) / (20.4099509505434 – 19.8650360864628)

    There isn’t time to look at everything….

    8.85130581365588 = (24.067904774739)*(14) / (24.067904774739 + 14)
    8.85130581365588 = (12.0339523873695)*(7)/((12.0339523873695+7)/2)
    8.85129505078776 = a little (searchable) lunar review
    0.000121596535 = % error

    ….but we can jot down notes.

    13.9999730741705 = (24.067904774739)*(8.85129505078776) / (24.067904774739 – 8.85129505078776)
    24.0678251974777 = (14)*(8.85129505078776) / (14 – 8.85129505078776)

    113.757966840464 = (24.067904774739)*(19.8650360864628) / (24.067904774739 – 19.8650360864628)
    297.822223679417 = 113.757966840464*2.61803398874989
    298 = ⌊297.822223679417⌉

    63.0105927382625 = 24.067904774739*2.61803398874989
    297.581692491761 = (63.0105927382625)*(52) / (63.0105927382625 – 52)
    298 = ⌊297.581692491761⌉

    148.942268612087 = (63.0105927382625)*(44.2784332763321) / (63.0105927382625 – 44.2784332763321)
    149 = ⌊148.942268612087⌉ = 298 / 2

    Since they sure DO think the public can’t sea JS104Hale, they bot a CO2 ramp.

    84=(44+52+24+48)/2
    96=44+52
    Therefore we can’t be too discrete.
    178=298-44-52-24
    260=2*(298-44-52-24-48)
    48=ROUND(HARMEAN(52,44),0)

    Here’s a tougher one:

    298.187998986238 = (52)*(44.2784332763321) / (52 – 44.2784332763321)
    23.9147901769532 = (52)*(44.2784332763321) / (52 + 44.2784332763321)
    57.9473265559226 = (23.9147901769532/π)^2
    some rounding gives 2 familiar numbers:
    298
    58

    (Aside: Divide the top 2 numbers in the following list by phi^2 for some near-review.)
    77.1071040725656 = (104)*(44.2784332763321) / (104 – 44.2784332763321)
    31.0561486184355 = (104)*(44.2784332763321) / (104 + 44.2784332763321)
    97.7226976700196 = (31.0561486184355/π)^2
    analogous rounding gives:
    77
    98

    98-58 = 40
    To get this number note that we had to do some scaling (from exponent in Ramanujan’s 104 equation).
    Look what we can do with it once we have it:
    77-40 = 37
    98-40 = 58
    These levels give sharp 104 estimates. (Why would the phinest squared spacing from J & S be 40? A few will know the answer by the end of the mess age.)

    Along the path there are more curiosities to note.
    √40*π = 19.8691765315922
    √10*π = 9.9345882657961

    From level 10, the 3,4,5-triangle spacing noted previously gives 10, 13, 18, 22. The near-misses in discrete-continuous relation limit-ramps can actually be navigated to move through the structure mapping the 104-yielding levels …but it’s too much of a maze for a political rally.

    Look what’s at the top of the 3,4,5-triangle:
    √22*π = 14.7353756933431
    √40*π = 29.4707513866861
    There are “too many” things near familiar targets even with the most naive stumbling.

    (If you checked the bracketed suggestion you nearly found J & S periods.)

    Maybe you can see why the secret labyrinth keyed by Ramanujan was assumed safely off-limits for a general public (in the days before widespread PCs).

    It’s been 104 years.

  52. Paul Vaughan says:

    √40*π = 19.8691765315922 = correct (18 lines up)
    ” √40*π = 29.4707513866861 ” = typo (9 lines up)
    √88*π = 29.4707513866861 = correction (9 lines up)

  53. Paul Vaughan says:

    Tropical terrestrial year splitting J+S harmonic mean:

    1.06282034214619 = (16.9122914926352)*(0.999978614647502) / (16.9122914926352 – 0.999978614647502)
    0.944153349409581 = (16.9122914926352)*(0.999978614647502) / (16.9122914926352 + 0.999978614647502)

    0.265705085536547 = 1.06282034214619 / 4
    4.9662590216157 = 1.06282034214619 / 4

    ⌊ 19.8650360864628 / 0.265705085536547 ⌉ = ⌊74.7634771323579⌉ = 75
    19.8650360864628 / 75 = 0.264867147819504
    83.987803312612 = (0.265705085536547)*(0.264867147819504) / (0.265705085536547 – 0.264867147819504)

    ⌊ 83.987803312612 / 4.9662590216157 ⌉ = ⌊16.9116840154841⌉ = 17
    83.987803312612 / 17 = 4.94045901838894
    950.992096991171 = (4.9662590216157)*(4.94045901838894) / (4.9662590216157 – 4.94045901838894)

    ⌊ 950.992096991171 / 83.987803312612 ⌉ = ⌊11.3229785692986⌉ = 11
    950.992096991171 / 11 = 86.4538269991974
    2944.44333893866 = (86.4538269991974)*(83.987803312612) / (86.4538269991974 – 83.987803312612)

    1472.22166946933 = 2944.44333893866 / 2

    0.47207667470479 = 0.944153349409581 / 2

    ⌊ 19.8650360864628 / 0.47207667470479 ⌉ = ⌊42.0801050992093⌉ = 42
    19.8650360864628 / 42 = 0.472977049677686
    247.987160399869 = (0.472977049677686)*(0.47207667470479) / (0.472977049677686 – 0.47207667470479)

    ⌊ 247.987160399869 / 16.9122914926352 ⌉ = ⌊14.6631318711518⌉ = 15
    247.987160399869 / 15 = 16.5324773599912
    736.155008928186 = (16.9122914926352)*(16.5324773599912) / (16.9122914926352 – 16.5324773599912)

    1472.31001785637 = 2 * 736.155008928186

    There’s at least 1 other way to automatically derive this slip-cycle:

    0.236038337352395 = 0.944153349409581 / 4

    ⌊ 19.8650360864628 / 0.236038337352395 ⌉ = ⌊84.1602101984186⌉ = 84
    19.8650360864628 / 84 = 0.236488524838843
    123.993580199934 = (0.236488524838843)*(0.236038337352395) / (0.236488524838843 – 0.236038337352395)

    ⌊ 123.993580199934 / 8.4561457463176 ⌉ = ⌊14.6631318711518⌉ = 15
    123.993580199934 / 15 = 8.26623867999562
    368.077504464093 = (8.4561457463176)*(8.26623867999562) / (8.4561457463176 – 8.26623867999562)

    736.155008928186 = 2 * 368.077504464093
    1472.31001785637 = 4 * 368.077504464093

    Finally, there are at least 6 other ways (communication overload cut short) to automatically derive this slip-cycle:

    ⌊ 83.987803312612 / 19.8650360864628 ⌉ = ⌊4.22792100387103⌉ = 4
    83.987803312612 / 4 = 20.996950828153
    368.495232497915 = (20.996950828153)*(19.8650360864628) / (20.996950828153 – 19.8650360864628)

    736.99046499583 = 2 * 368.495232497915
    1473.98092999166 = 4 * 368.495232497915

    0.531410171073094 = 1.06282034214619 / 2
    ⌊ 19.8650360864628 / 0.531410171073094 ⌉ = ⌊37.3817385661789⌉ = 37
    19.8650360864628 / 37 = 0.536892867201698
    52.0383263480683 = (0.536892867201698)*(0.531410171073094) / (0.536892867201698 – 0.531410171073094)

    ⌊ 52.0383263480683 / 19.8650360864628 ⌉ = ⌊2.61959384929234⌉ = 3
    52.0383263480683 / 3 = 17.3461087826894
    136.796753289246 = (19.8650360864628)*(17.3461087826894) / (19.8650360864628 – 17.3461087826894)

    ⌊ 136.796753289246 / 52.0383263480683 ⌉ = ⌊2.62876927236774⌉ = 3
    136.796753289246 / 3 = 45.5989177630821
    368.495232497984 = (52.0383263480683)*(45.5989177630821) / (52.0383263480683 – 45.5989177630821)

    ⌊ 136.796753289246 / 83.987803312612 ⌉ = ⌊1.62876927236772⌉ = 2
    136.796753289246 / 2 = 68.3983766446232
    368.495232497967 = (83.987803312612)*(68.3983766446232) / (83.987803312612 – 68.3983766446232)

    ⌊ 52.0383263480683 / 4.9662590216157 ⌉ = ⌊10.4783753971693⌉ = 10
    52.0383263480683 / 10 = 5.20383263480683
    108.781360111727 = (5.20383263480683)*(4.9662590216157) / (5.20383263480683 – 4.9662590216157)

    ⌊ 108.781360111727 / 83.987803312612 ⌉ = ⌊1.29520425372754⌉ = 1
    108.781360111727 / 1 = 108.781360111727
    368.495232497999 = (108.781360111727)*(83.987803312612) / (108.781360111727 – 83.987803312612)

  54. Paul Vaughan says:

    Moderators: The first in a series of lengthy calculations is stuck in the filter.

  55. Paul Vaughan says:

    First, correcting a few typos above (volunteer time isn’t always given for this, knowing alert readers can spot typos without help) :

    0.531410171073094 = 1.06282034214619 / 2
    0.265705085536547 = 1.06282034214619 / 4

    0.47207667470479 = 0.944153349409581 / 2
    0.236038337352395 = 0.944153349409581 / 4

    9.93251804323141 = 19.8650360864628 / 2
    4.9662590216157 = 19.8650360864628 / 4

    4.2280728731588 = 8.4561457463176 / 2
    2.1140364365794 = 8.4561457463176 / 4

    1 more tropical J+S note:

    ⌊ 83.987803312612 / 2.1140364365794 ⌉ = ⌊39.7286450977675⌉ = 40
    83.987803312612 / 40 = 2.0996950828153
    309.512754778433 = (2.1140364365794)*(2.0996950828153) / (2.1140364365794 – 2.0996950828153)

    ⌊ 309.512754778433 / 83.987803312612 ⌉ = ⌊3.68521073978315⌉ = 4
    309.512754778433 / 4 = 77.3781886946083
    983.23797503518 = (83.987803312612)*(77.3781886946083) / (83.987803312612 – 77.3781886946083)

    ⌊ 19.8650360864628 / 1.06282034214619 ⌉ = ⌊18.6908692830895⌉ = 19
    19.8650360864628 / 19 = 1.04552821507699
    64.2609582282691 = (1.06282034214619)*(1.04552821507699) / (1.06282034214619 – 1.04552821507699)

    ⌊ 64.2609582282691 / 16.9122914926352 ⌉ = ⌊3.79966004348097⌉ = 4
    64.2609582282691 / 4 = 16.0652395570673
    320.7595696077 = (16.9122914926352)*(16.0652395570673) / (16.9122914926352 – 16.0652395570673)

    ⌊ 320.7595696077 / 52.0383263480683 ⌉ = ⌊6.1639101815504⌉ = 6
    320.7595696077 / 6 = 53.4599282679501
    1956.92278889382 = (53.4599282679501)*(52.0383263480683) / (53.4599282679501 – 52.0383263480683)

    978.461394446911 = 1956.92278889382 / 2

    ⌊ 52.0383263480683 / 4.9662590216157 ⌉ = ⌊10.4783753971693⌉ = 10
    52.0383263480683 / 10 = 5.20383263480683
    108.781360111727 = (5.20383263480683)*(4.9662590216157) / (5.20383263480683 – 4.9662590216157)

    979.032241005541 = 9 * 108.781360111727

    Also noteworthy:

    5255.8709611549 = 101 * 52.0383263480683

    There will be nearly a dozen more posts. This will be thick going. Few people — if any — will follow everything. However some may zoom in selectively while sharpening their own awareness of discrete-continuous relations.

  56. Paul Vaughan says:

    Bad Buy US

    Loosing sight of U in DO?

    I’m repeating the translation from attractor-speak to event-speak for the 3rd time:

    17.4966520098346 = 1470.01351606394 / 84.016845922161
    1/2 = 0.5
    ~= 0.4966520098346 = 17.4966520098346 mod 1

    The reason may be thinking in whole numbers of Julian years and missing clues repeated a dozen different ways (on the last DO thread and Suggestions) AB out:

    36750.3379015986 = 8/(g_6+s_6+s_3+5*g_4+s_4+5*g_3+g_2+s_2) —- from Laskar

    There are more clues posted about the monster than have been made explicit.

    Giant balance is key.

    God help the world if US develops a bias.

  57. Paul Vaughan says:

    Splitting J+S harmonic mean with terrestrial sidereal year:

    1.06286419364514 = (16.9122914926352)*(1.00001743371442) / (16.9122914926352 – 1.00001743371442)
    0.944187955122655 = (16.9122914926352)*(1.00001743371442) / (16.9122914926352 + 1.00001743371442)

    Top-level slip-cycles:

    ⌊ 19.8650360864628 / 1.06286419364514 ⌉ = ⌊18.6900981378767⌉ = 19
    19.8650360864628 / 19 = 1.04552821507699
    64.1010542832959 = (1.06286419364514)*(1.04552821507699) / (1.06286419364514 – 1.04552821507699)

    ⌊ 19.8650360864628 / 0.944187955122655 ⌉ = ⌊21.0392814043918⌉ = 21
    19.8650360864628 / 21 = 0.945954099355372
    505.710943740882 = (0.945954099355372)*(0.944187955122655) / (0.945954099355372 – 0.944187955122655)

    Noteworthy derivative slip-cycle:

    ⌊ 505.710943740882 / 19.8650360864628 ⌉ = ⌊25.4573382872182⌉ = 25
    505.710943740882 / 25 = 20.2284377496353
    1105.76996913352 = (20.2284377496353)*(19.8650360864628) / (20.2284377496353 – 19.8650360864628)

    ⌊ 1105.76996913352 / 64.1010542832959 ⌉ = ⌊17.2504178206891⌉ = 17
    1105.76996913352 / 17 = 65.045292301972
    4415.6999932787 = (65.045292301972)*(64.1010542832959) / (65.045292301972 – 64.1010542832959)

    1471.89999775957 = 4415.6999932787 / 3

    There are so many ~1470 year harmonic and subharmonic slip-cycles in crosses of E, T, & L (where terrestrial frequencies E = sidereal, T = tropical, & L = anomalistic) with pairs of J, S, U, & N that it’s a piece of work to catalog everything.

    It’s no wonder it doesn’t go the same way each time. The geometric boundary conditions imply nonlinear spatiotemporal aliasing from a formidable matrix of slip-cycles.

  58. Paul Vaughan says:

    More EJS

    This one shows up at least 7 different ways — will study details another day as this is very close to JEV 5256, to which we’ve already devoted stictly rigorous formal algebraic study:

    5256.53870494437 = 11 * 477.867154994943

    Here’s another one for which I’ll show details right away since oldmank is so keen on Landscheidt (980 year) Cycles:

    980.20944990615 = 3920.8377996246 / 4

    0.53143209682257 = 1.06286419364514 / 2
    0.265716048411285 = 1.06286419364514 / 4

    ⌊ 19.8650360864628 / 0.53143209682257 ⌉ = ⌊37.3801962757533⌉ = 37
    19.8650360864628 / 37 = 0.536892867201698
    52.2494231357274 = (0.536892867201698)*(0.53143209682257) / (0.536892867201698 – 0.53143209682257)

    ⌊ 19.8650360864628 / 0.265716048411285 ⌉ = ⌊74.7603925515066⌉ = 75
    19.8650360864628 / 75 = 0.264867147819504
    82.9065883025468 = (0.265716048411285)*(0.264867147819504) / (0.265716048411285 – 0.264867147819504)

    ⌊ 82.9065883025468 / 16.9122914926352 ⌉ = ⌊4.90214991496866⌉ = 5
    82.9065883025468 / 5 = 16.5813176605094
    847.281719540593 = (16.9122914926352)*(16.5813176605094) / (16.9122914926352 – 16.5813176605094)

    ⌊ 847.281719540593 / 52.2494231357274 ⌉ = ⌊16.2160971105772⌉ = 16
    847.281719540593 / 16 = 52.9551074712871
    3920.8377996246 = (52.9551074712871)*(52.2494231357274) / (52.9551074712871 – 52.2494231357274)

    _
    ⌊ 82.9065883025468 / 8.4561457463176 ⌉ = ⌊9.80429982993732⌉ = 10
    82.9065883025468 / 10 = 8.29065883025468
    423.640859770297 = (8.4561457463176)*(8.29065883025468) / (8.4561457463176 – 8.29065883025468)

    ⌊ 423.640859770297 / 52.2494231357274 ⌉ = ⌊8.10804855528858⌉ = 8
    423.640859770297 / 8 = 52.9551074712871
    3920.8377996246 = (52.9551074712871)*(52.2494231357274) / (52.9551074712871 – 52.2494231357274)

    _
    ⌊ 82.9065883025468 / 4.2280728731588 ⌉ = ⌊19.6085996598746⌉ = 20
    82.9065883025468 / 20 = 4.14532941512734
    211.820429885148 = (4.2280728731588)*(4.14532941512734) / (4.2280728731588 – 4.14532941512734)

    ⌊ 211.820429885148 / 52.2494231357274 ⌉ = ⌊4.05402427764429⌉ = 4
    211.820429885148 / 4 = 52.9551074712871
    3920.8377996246 = (52.9551074712871)*(52.2494231357274) / (52.9551074712871 – 52.2494231357274)

  59. Paul Vaughan says:

    Quick Less UN:
    UNrecognize-D Quantization

    I only ever knew the game as “Hearts”:
    • -26 — or competitors +26 — for “control” which means risking the X-act opposite (strictly and perfectly with 0 failure) of what Eur. supposed to DO — i.e. take E-V orrery heart + Q-of-spades.

    A control freak is regarded as a sneaky mastermind.
    Others suddenly work together readily “eating” hearts to block control.
    If players awaken late to what’s going on it’s too late, whereas a few cards sooner it may be easy.

    The discards were passed to the left. “ — Wiki

    – — — –

    Jovial Game of Celestial Hearts

    V = 1 / 0.615197263396975 ____ Cards Featured
    E = 1 / 1.00001743371442

    B = 1 / 1.59868955949705 = +1V-1E = beat __________________ Dealer’s Time Table
    R = 1 / 0.761766209372164 = +0.5V+0.5E = harmonic mean
    I = 1 / 0.380883104686082 = +1V+1E = axial period

    C = Challenger of Harmonic Means = Queen of Spades
    = Contestant Rocking Hearts 4 Calendar Mayan-D Count Roll

    — – — – — – — – — – — – — – — – — – — – — – — – — –

    C = N = 1 / 164.791315640078 ____ Card Player Shuffled with Deck

    R+C = 1 / 0.758261063160093 = +0.5V+0.5E+1N ____ Splitting the Deck
    R-C = 1 / 0.765303911937069 = +0.5V+0.5E-1N

    4B = ⌊2(R-C)/B⌉B = harmonic of B slipping nearest 2(R-C) ____2 Halves
    |2(R-C)-4B| = |H-| = 1 / 8.9854008763283 = -3V+5E-2N __|Solar Opposition|

    9 = 5256 / 584
    8.98461538461538 = 5256 / 585
    -0.008741866097 = %error
    585 = 584 + 1

    As with 5256, 585 & 584 appear in Mayan counts of things other than years.
    Call UN door masters benignly embedded discrete (not[e] D-secret) less UNs.

    — – — – — – — – — – — – — – — – — – — – — – — – — –

    C = U-N = 1 / 171.406220601552 ____ Card Player Shuffled with Deck

    R+C = 1 / 0.758395735171414 = +0.5V+0.5E+1(U-N) ____ Splitting the Deck
    R-C = 1 / 0.765166775536521 = +0.5V+0.5E-1(U-N)

    4B = ⌊2(R+C)/B⌉B = harmonic of B slipping nearest 2(R+C) ____2 Halves
    |2(R+C)-4B| = |H+| = 1 / 7.40212229800971 = -3V+5E+2(U-N) __|Galactic Opposition|

    7.40217174588736 = 2*(7*5*3)^(1/4) + 1
    -0.000668018513 = %error

    IT doesn’t E-V U-N have to be exact to serve as an index of freedom.

    – — — –

    Differentiating people from governments everywhere:
    It’s right to love people, not to be left hammering only 4 AB US V-E governments.

    Puttin’ things together ….4 stable IT:

    171.406964273337 = 50 / ( 1/(2*(7*5*3)^(1/4)) + 3/(2*(13*11*7*5*3)^(1/4)) )
    171.406220601552 = 1/(U-N)

    Primorial estimates D-loot free dem. a bit at each step PROGRESSIVELY.

    7.40217174588736 = 2*(7*5*3)^(1/4) + 1
    7.40212229800971 = 1/((5E-3V)+2(U-N))

    Stability hinges not necessarily at but as close as possible to the primorial base.

    14.8043434917747 = 2*(2*(7*5*3)^(1/4)+1)
    U-N ~= (5E-3V)/2 – 1 / 14.8043434917747

    In the game of Hearts we called the cure for progressives “control” where I learned and played.

    8.10193202170088 = 1/(1/(2*(7*5*3)^(1/4)+1)-1/(50*(7*5*3)^(1/4))-3/(50*(13*11*7*5*3)^(1/4)))
    8.1018761058768 = 1/(5E-3V)
    -0.000690154199 = %error

    The wikipedia article claims it’s called “shooting the moon” in other sub-cultures, with a variant called “shooting the sun”.

    0.615197263396975 = 1 / V
    0.615186159494975 = 3/(5/1-(1/(2*(7*5*3)^(1/4)+1)-1/(50*(7*5*3)^(1/4))-3/(50*(13*11*7*5*3)^(1/4))))
    -0.001804933582 = %error

    “Shooting the galaxy” is just instinctive response if anyone tries to take away parks, health, financial security, and freedom with in a jovial game of sell less tee all Hearts.

    0.615197263396975 = 1 / V
    0.615197155931739 = 3/(5/1.00001743371442-(1/(2*(7*5*3)^(1/4)+1)-1/(50*(7*5*3)^(1/4))-3/(50*(13*11*7*5*3)^(1/4))))
    -0.000017468419 = %error

    The western alliance is looking mighty unable to capture hearts.

    22.1392314983836 = 1/(3V-5E+2J)
    22.1391697297859 = 2*(13*11*7*5*3)^(1/4)
    11.8626662243749 = 2/(1/(2*(7*5*3)^(1/4)+1)-1/5/5/2/(7*5*3)^(1/4)+11/5/5/(13*11*7*5*3)^(1/4))
    11.8626151546089 = 1 / J

    Allies who are all lies may help US stop control freaks, but then what? A deep state of corruption? WHO weather seize progressive hell on the left can also see the right setting a hell of a control trap.

    Team London, leach let US: ’52 bet tar Bo11.UNs move the cap IT AI to New West.

  60. Paul Vaughan says:

    Stare if eyeing something AB out U’s role is miss UN door stood…

    1470.36361056294 = 2940.72722112589 / 2
    980.242407041963 = 2940.72722112589 / 3

    “The fire in your eyes keeps me alive” — The Cult “Sanctuary”

    45.3383823872475 = (84.016845922161)*(29.4474984673838) / (84.016845922161 – 29.4474984673838)
    21.8049639720585 = (84.016845922161)*(29.4474984673838) / (84.016845922161 + 29.4474984673838)
    harmonic mean:
    43.6099279441169 = (84.016845922161)*(29.4474984673838)/((84.016845922161+29.4474984673838)/2)

    Canada should release Meng Wanzhou … years ago.

    1.02349634379097 = (43.6099279441169)*(1.00002638193018) / (43.6099279441169 – 1.00002638193018)
    0.977608677638287 = (43.6099279441169)*(1.00002638193018) / (43.6099279441169 + 1.00002638193018)

    Devilishly taken hostage: Where was the script written? Let us guess as cynically as we possibly can: London?? Second guess: Washington? Third Guess: (It’s not even safe to write it.)

    22.6691911936237 = 45.3383823872475 / 2
    11.3345955968119 = 45.3383823872475 / 4

    10.9024819860292 = 21.8049639720585 / 2
    0.511748171895485 = 1.02349634379097 / 2

    0.488804338819144 = 0.977608677638287 / 2
    0.255874085947743 = 1.02349634379097 / 4

    China has the moral high ground on this one Five Lies. Let Justin answer for his own crime.

    ⌊ 45.3383823872475 / 0.255874085947743 ⌉ = ⌊177.190207516782⌉ = 177
    45.3383823872475 / 177 = 0.256149053035296
    238.362726953588 = (0.256149053035296)*(0.255874085947743) / (0.256149053035296 – 0.255874085947743)

    ⌊ 45.3383823872475 / 0.488804338819144 ⌉ = ⌊92.7536414606634⌉ = 93
    45.3383823872475 / 93 = 0.487509488034919
    184.034141902814 = (0.488804338819144)*(0.487509488034919) / (0.488804338819144 – 0.487509488034919)

    ⌊ 184.034141902814 / 11.3345955968119 ⌉ = ⌊16.2364982791779⌉ = 16
    184.034141902814 / 16 = 11.5021338689259
    778.162710284843 = (11.5021338689259)*(11.3345955968119) / (11.5021338689259 – 11.3345955968119)

    ⌊ 778.162710284843 / 238.362726953588 ⌉ = ⌊3.26461574017971⌉ = 3
    778.162710284843 / 3 = 259.387570094948
    2940.72722112589 = (259.387570094948)*(238.362726953588) / (259.387570094948 – 238.362726953588)

    Unbelievable that she had to tolerate such enduring bullshit.
    _
    1473.89673097424 = 3 * 491.298910324747
    982.597820649494 = 2 * 491.298910324747

    ⌊ 238.362726953588 / 22.6691911936237 ⌉ = ⌊10.5148315578473⌉ = 11
    238.362726953588 / 11 = 21.6693388139626
    491.298910324747 = (22.6691911936237)*(21.6693388139626) / (22.6691911936237 – 21.6693388139626)

    Russia, China, and The West woven together in a fabric where each retains individual properties = a synergistic team of mysteriously inspiring security partners.

    In this world we’re just beginning to understand the miracle of living.
    We’ll make heaven a place on Earth.
    — Be11inD-Car11isle
    _
    1472.27313522251 = 8 * 184.034141902814

    ⌊ 45.3383823872475 / 0.488804338819144 ⌉ = ⌊92.7536414606634⌉ = 93
    45.3383823872475 / 93 = 0.487509488034919
    184.034141902814 = (0.488804338819144)*(0.487509488034919) / (0.488804338819144 – 0.487509488034919)
    _
    981.653745606295 = 3926.61498242518 / 4

    ⌊ 45.3383823872475 / 0.511748171895485 ⌉ = ⌊88.595103758391⌉ = 89
    45.3383823872475 / 89 = 0.509420026823005
    111.975310531614 = (0.511748171895485)*(0.509420026823005) / (0.511748171895485 – 0.509420026823005)

    ⌊ 238.362726953588 / 10.9024819860292 ⌉ = ⌊21.8631617331754⌉ = 22
    238.362726953588 / 22 = 10.8346694069813
    1741.9303275678 = (10.9024819860292)*(10.8346694069813) / (10.9024819860292 – 10.8346694069813)

    ⌊ 1741.9303275678 / 111.975310531614 ⌉ = ⌊15.5563786275547⌉ = 16
    1741.9303275678 / 16 = 108.870645472987
    3926.61498242518 = (111.975310531614)*(108.870645472987) / (111.975310531614 – 108.870645472987)

  61. Paul Vaughan says:

    Progress report: we’re about 8% of the way through this and we’ve covered 0% of the very-low-frequency subharmonics.

  62. oldbrew says:

    Not heard this one before…

    The PDO cycle recurs, just like the longer Dansgaard-Oeschger cycle that brought us the Roman Warming (200 BC to 600 AD), the Medieval Warming (950 AD to 1300 AD). The Modern Warming dates from the end of the Dalton Minimum that dipped our temperatures from 1790-1830, and it’s not “unprecedented” either. We’re not yet as warm as the peaks of either the Medieval or Roman Warmings. [bold dded]

    Source: IPCC ‘Knows’ Less About Future Climate Today Than It ‘Knew’ in 1998
    Dennis Avery | Posted: Nov 13, 2018
    https://townhall.com/columnists/dennisavery/2018/11/13/ipcc-knows-less-about-future-climate-today-than-it-knew-in-1998-n2535832

    If the D-O cycle started in 232 AD (see graphic below): the quarter-cycle would reach 600 AD, half-cycle ~967, 3/4 near 1334, end in 1702 (late Maunder Minimum).

    We’re not yet as warm as the peaks of either the Medieval or Roman Warmings
    So maybe ‘modern warming’ will go on until about 2070? (1702+368)

  63. Paul Vaughan says:

    Recall that Ian Wilson put the date at mid-next-century.
    I vaguely remember him saying a different date and then correcting himself.

    …but it’s goofy to just focus on 1470 given there’s a nonlinear spatiotemporal aliasing weave of harmonics and subharmonics. Anyone trying to do a forecast without a fully monstrous decode is just playing into “Idiot America – one nation controlled buy the media” = famous “Green Day” song, with a cute sense of humor.

    Even just glancing at the Rial graph is enough to kill the entire narrative of exclusive focus on 1470 (falsely assuming global uniformity) with no regard for context. Alone it’s just a feature of the big picture and it doesn’t feature (or even register) equally everywhere.

    Still it’s worthwhile to look at (even if it’s not very interesting) because it yields so easily to automated discrete-continuous inquiry. The set of numbers I’m posting won’t be exhaustive (far from it) but it will be suggestive enough that some patient individual might spot the monstrous generality that reduces the number floods to compact symbolism.

    Even with that they can’t control human psychology. They can only make suggestions knowing people are subject to a lot of other constraints …including some immediate and vital.

    In practical terms 1470 doesn’t mean anything for down-to-earth everyday lives, but some elite have been stupendously tricked.

  64. Paul Vaughan says:

    Note on simulator screenshots: Infinitely superior visualization is feasible. The screenshots show 0 over infinity of the picture. I’ve always been puzzled about why people post simulator screenshots given that the whole history and future can be summarized on a SINGLE frame. Then it’s just a matter of customization to include harmonics discretely revealing the slip cycles relevant to nonlinear aliasing. I’ve always thought it would be fantastic to have a big grant to extensively develop better data visualization tools. It would be a neverending adventure. The problem of course would be the nightmare of politics trying to manage the programming team. Then parasites would take over the project and it would never reach the original objective, but salespeople would have roles making sure people thought it did.

  65. Paul Vaughan says:

    979.164635248532 = 1958.32927049706 / 2

    13.8129046498944 = (84.016845922161)*(11.8626151546089) / (84.016845922161 – 11.8626151546089)

    20.7898437994067 = (84.016845922161)*(11.8626151546089)/((84.016845922161+11.8626151546089)/2)

    1.0505600853727 = (20.7898437994067)*(1.00002638193018) / (20.7898437994067 – 1.00002638193018)
    0.95413107570606 = (20.7898437994067)*(1.00002638193018) / (20.7898437994067 + 1.00002638193018)

    6.90645232494718 = 13.8129046498944 / 2

    0.47706553785303 = 0.95413107570606 / 2
    0.262640021343176 = 1.0505600853727 / 4

    ⌊ 13.8129046498944 / 0.262640021343176 ⌉ = ⌊52.5925355140215⌉ = 53
    13.8129046498944 / 53 = 0.260620842450837
    33.8996529150875 = (0.262640021343176)*(0.260620842450837) / (0.262640021343176 – 0.260620842450837)

    ⌊ 13.8129046498944 / 0.47706553785303 ⌉ = ⌊28.9538932366767⌉ = 29
    13.8129046498944 / 29 = 0.476307056892909
    299.585216013306 = (0.47706553785303)*(0.476307056892909) / (0.47706553785303 – 0.476307056892909)

    ⌊ 299.585216013306 / 6.90645232494718 ⌉ = ⌊43.3775840211273⌉ = 43
    299.585216013306 / 43 = 6.96709804682107
    793.426626261647 = (6.96709804682107)*(6.90645232494718) / (6.96709804682107 – 6.90645232494718)

    ⌊ 793.426626261647 / 33.8996529150875 ⌉ = ⌊23.4051548624712⌉ = 23
    793.426626261647 / 23 = 34.4968098374629
    1958.32927049706 = (34.4968098374629)*(33.8996529150875) / (34.4968098374629 – 33.8996529150875)

  66. Paul Vaughan says:

    Mods.: Calculations are stuck in the filter. The press really doesn’t like it when a post contains ONLY numbers.

  67. Paul Vaughan says:

    Repeating this one in a different format because it’s U±Nique.

    Jovial Game of Celestial Hearts

    U = 1 / 84.016845922161 ____ Cards Featured
    N = 1 / 164.791315640078

    C = Challenger of Harmonic Means = Queen of Spades
    = Contestant Rocking Hearts 4 Calendar Mayan-D Count Roll

    C = L = 1 / 1.00002638193018 ____ Card Player Shuffled with Deck

    B = 1 / 171.406220601552 = +1U-1N = beat __________________ Dealer’s Time Table
    R = 1 / 111.292543528394 = +0.5U+0.5N = harmonic mean
    I = 1 / 55.6462717641972 = +1U+1N = axial period

    R+C = 1 / 0.991120603343454 = +0.5U+0.5N+1L ____ Splitting the Deck

    173B = ⌊1(R+C)/B⌉B = harmonic of B slipping nearest 1(R+C) ____1 Whole
    |173B-1(R+C)| = |W+| = 1 / 2947.13924063076 = +172.5U-173.5N-1L __|Galactic Core|

    346B = ⌊2(R+C)/B⌉B = harmonic of B slipping nearest 2(R+C) ____2 Halves
    |346B-2(R+C)| = |H+| = 1 / 1473.56962031538 = +345U-347N-2L __|Galactic Opposition|

    692B = ⌊4(R+C)/B⌉B = harmonic of B slipping nearest 4(R+C) ____4 Quarters
    |692B-4(R+C)| = |Q+| = 1 / 736.78481015769 = +690U-694N-4L __|Galactic Rights|

  68. Paul Vaughan says:

    1471.69875637527 = 7358.49378187633 / 5
    1469.92272714449 = 7349.61363572243 / 5

    171.406220601552 = (164.791315640078)*(84.016845922161) / (164.791315640078 – 84.016845922161)
    55.6462717641972 = (164.791315640078)*(84.016845922161) / (164.791315640078 + 84.016845922161)
    111.292543528394 = (164.791315640078)*(84.016845922161)/((164.791315640078+84.016845922161)/2)

    1.00908454735433 = (111.292543528394)*(1.00001743371442) / (111.292543528394 – 1.00001743371442)
    0.991111813794772 = (111.292543528394)*(1.00001743371442) / (111.292543528394 + 1.00001743371442)

    85.7031103007758 = 171.406220601552 / 2
    13.9115679410493 = 55.6462717641972 / 4
    0.252271136838582 = 1.00908454735433 / 4

    ⌊ 171.406220601552 / 0.252271136838582 ⌉ = ⌊679.452365219361⌉ = 679
    171.406220601552 / 679 = 0.252439205598751
    378.911139198142 = (0.252439205598751)*(0.252271136838582) / (0.252439205598751 – 0.252271136838582)

    ⌊ 378.911139198142 / 13.9115679410493 ⌉ = ⌊27.2371267425634⌉ = 27
    378.911139198142 / 27 = 14.0337458962275
    1597.92664084185 = (14.0337458962275)*(13.9115679410493) / (14.0337458962275 – 13.9115679410493)

    ⌊ 1597.92664084185 / 378.911139198142 ⌉ = ⌊4.21715403834104⌉ = 4
    1597.92664084185 / 4 = 399.481660210462
    7358.49378187633 = (399.481660210462)*(378.911139198142) / (399.481660210462 – 378.911139198142)

    _
    ⌊ 171.406220601552 / 1.00908454735433 ⌉ = ⌊169.86309130484⌉ = 170
    171.406220601552 / 170 = 1.00827188589148
    1251.9746857672 = (1.00908454735433)*(1.00827188589148) / (1.00908454735433 – 1.00827188589148)

    (OB may take note: 2503.9493715344 = 2 * 1251.9746857672)

    ⌊ 1251.9746857672 / 85.7031103007758 ⌉ = ⌊14.6082759584032⌉ = 15
    1251.9746857672 / 15 = 83.4649790511466
    3196.06292394932 = (85.7031103007758)*(83.4649790511466) / (85.7031103007758 – 83.4649790511466)

    ⌊ 3196.06292394932 / 378.911139198142 ⌉ = ⌊8.43486135222334⌉ = 8
    3196.06292394932 / 8 = 399.507865493666
    7349.61363572243 = (399.507865493666)*(378.911139198142) / (399.507865493666 – 378.911139198142)

  69. Paul Vaughan says:

    I don’t trust that people will understand what is the point of posting all these, but I recommend that you look at the date on your calendar and think about why I might be using a long stall tactic right now….

  70. Paul Vaughan says:

    5256.53357423224 = 2 * 2628.26678711612

    13.8129046498944 = (84.016845922161)*(11.8626151546089) / (84.016845922161 – 11.8626151546089)
    10.3949218997034 = (84.016845922161)*(11.8626151546089) / (84.016845922161 + 11.8626151546089)
    20.7898437994067 = (84.016845922161)*(11.8626151546089)/((84.016845922161+11.8626151546089)/2)

    1.0505073686545 = (20.7898437994067)*(0.999978614647502) / (20.7898437994067 – 0.999978614647502)
    0.954087592189816 = (20.7898437994067)*(0.999978614647502) / (20.7898437994067 + 0.999978614647502)

    2.59873047492584 = 10.3949218997034 / 4
    0.52525368432725 = 1.0505073686545 / 2
    0.477043796094908 = 0.954087592189816 / 2

    ⌊ 13.8129046498944 / 0.52525368432725 ⌉ = ⌊26.2975873602602⌉ = 26
    13.8129046498944 / 26 = 0.531265563457476
    46.4163015452589 = (0.531265563457476)*(0.52525368432725) / (0.531265563457476 – 0.52525368432725)

    ⌊ 13.8129046498944 / 0.477043796094908 ⌉ = ⌊28.9552128399261⌉ = 29
    13.8129046498944 / 29 = 0.476307056892909
    308.412157124937 = (0.477043796094908)*(0.476307056892909) / (0.477043796094908 – 0.476307056892909)

    ⌊ 308.412157124937 / 2.59873047492584 ⌉ = ⌊118.678008397057⌉ = 119
    308.412157124937 / 119 = 2.59169879936922
    957.826708231721 = (2.59873047492584)*(2.59169879936922) / (2.59873047492584 – 2.59169879936922)

    ⌊ 957.826708231721 / 46.4163015452589 ⌉ = ⌊20.6355671680946⌉ = 21
    957.826708231721 / 21 = 45.610795630082
    2628.26678711612 = (46.4163015452589)*(45.610795630082) / (46.4163015452589 – 45.610795630082)

    _

    1469.22965529281 = 2 * 734.614827646404

    3.45322616247359 = 13.8129046498944 / 4
    0.262626842163625 = 1.0505073686545 / 4

    ⌊ 13.8129046498944 / 0.262626842163625 ⌉ = ⌊52.5951747205204⌉ = 53
    13.8129046498944 / 53 = 0.260620842450837
    34.1206573553157 = (0.262626842163625)*(0.260620842450837) / (0.262626842163625 – 0.260620842450837)

    ⌊ 34.1206573553157 / 3.45322616247359 ⌉ = ⌊9.88080587541784⌉ = 10
    34.1206573553157 / 10 = 3.41206573553157
    286.261235400047 = (3.45322616247359)*(3.41206573553157) / (3.45322616247359 – 3.41206573553157)

    ⌊ 286.261235400047 / 34.1206573553157 ⌉ = ⌊8.38967527556881⌉ = 8
    286.261235400047 / 8 = 35.7826544250059
    734.614827646404 = (35.7826544250059)*(34.1206573553157) / (35.7826544250059 – 34.1206573553157)

  71. Paul Vaughan says:

    I’m stoppin’ DO focus there. I’m on another (more important) file now and will probably never be revisitin’ DO.

  72. tallbloke says:

    Thanks Paul, for the detailed work you’ve put into this.

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