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tetrahedron

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tetrahedron last won the day on November 13 2018

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  1. Hi again, folks. I'm looking for a chart of nuclear isotopes organized by ellipsoidal deformational shape. Most known isotopes are prolate ellipsoids of revolution, many others are oblate. Only relatively few are spheres, and the rest have even more complex shapes. I'm hoping to derive an equation that is able to predict the shapes based on the absolute and relative numbers of protons and neutrons. I've already been able to do this for total shell energies and shell structures in terms of their suborbital components, not to mention a Madelung-rule analogue. Anyway, I recall long ago seeing
  2. p8ly. Your reply and the followup have nothing to do with my thread. Start your own please if you want people to respond- don't try to hijack mine. Thanks. Jess Tauber
  3. Now, consider the relative proportions supposedly making up the known (and unknown) universe: 68% dark energy, 27% dark matter, and 5% normal matter (but is normal energy subsumed under normal matter?) 68 is 2x 34 (Fibonacci), 27 is 2x 13 (plus one), and 5 is 2x 2 (plus one). The sequence of every other doubled Fibonacci number is 2, 2, 4, 6, 10, 16, 26, 42, 68...And with the relative proportions of components of the universe we have 2, 4, 10, 26, 68..., which match for the most part the dimensions of the universe as proposed by String Theories. There are two discrepencies- first up to 6
  4. Let phi (lower case p)=0.618033989... and Phi (upper case p)= 1.618033989.... Then... sin 0= 0, cos 0=1 sin 18= phi/2 cos 36= Phi/2 -------------------- sin 54= Phi/2 cos 72= phi/2 for the first quadrant of the circle sin 90= 1, cos 90= 0 cos 108= -phi/2 sin 126= Phi/2 -------------------- cos 144= -Phi/2 sin 162= phi/2 for the second quadrant of the circle sin 180= 0, cos 180= -1 sin 198= -phi/2 cos 216= -Phi/2 sin 234= -Phi/2 cos 252= -phi/2 for the third quadrant of the circle sin 270= -1, cos 270= 0 cos 288= phi/2 sin 306= -Phi/2 cos 324=
  5. You can get + or - half the larger or smaller Golden Ratio (so 0.618033989 or 1.618033989, which are also respectively (sqrt5-1)/2 and (sqrt5+1)/2) using polygons of ANY multiple of 18 degrees, either under sines or cosines of these angles (alternatively) in a repeating pattern. The Pentagon is just the most popular one. Jess Tauber
  6. I can't remember whether you were also down on earlier posts I put up about how Pascal Triangle combinatorics operate with atomic nuclear and electronic shells. Its easy to shoot people down when you haven't got a clue- witness our President going out of his way to shut the pandemic response team a couple of years back, yet now blaming the Dems (and especially Obama) for the crisis now that he finally was forced to admit it actually is a crisis- one that 'some miracle' isn't likely to happen for. We have a viral pandemic sweeping the world- but we also have a long-standing epidemic of self-sat
  7. Today I was reminded that in 10-dimensional String Theory there is 1 time dimension, 3 extended spatial dimensions, and 6 compactified dimensions. Well, it is probably as meaningless as the every-other-doubled Fibonacci number of dimensions across String Theories, but the sequence of 1, 3, 6... consists of the first three terms of the TRIANGULAR NUMBERS. Any possible link?? Jess Tauber
  8. I was watching one of those 'The Universe' shows on television and it occurred to me- since water in space hasn't had deuterated species separated out, it would have much higher concentrations of this stuff than earthly water. Would it be enough to kill you if you drank a couple of gallons of it, or would it just make you sick? Jess Tauber
  9. https://en.wikipedia.org/wiki/Golden_ratio This is essentially the simplest possible recursive relationship, referring only to itself (and thus needing no prior referent- which comes in handy if your universe is starting from nothing), Jess Tauber
  10. OK- so one online source lists the components of our visible universe as approximately 68% dark energy, 27% dark matter, and less than 5% normal matter. I'm not sure how the latter is segregated into normal matter versus energy. Well 68 is twice 34, a Fibonacci number. And 27 is one more than 26, twice the Fibonacci number two moves back in the sequence (similar in execution to using every other doubled Fibonacci number in DIMENSIONAL specifications in String Theories). So extending this pattern logically backwards we would have 2, 4, 10, 26, 68.... for dimensions, and similarly for relative
  11. Generalized Fibonacci numbers (different series all of which have ratios of nearest neighbor terms converging on Phi) are also well known from studies in biological systems. They deal with growth and packing. At least the growth part might have some connection to accelerating Hubble expansion. Packing, on the other hand, would have to deal with the density of matter and/or dark matter, wouldn't it? Some years back I had looked at the professionally produced estimates of the relative amounts of these components in the observable universe and had observed that they seemed to fall into another F
  12. Here's a link to introduce you, O Great Guru of Stable Geniushood- to the value of 1.38 x 10-123 Planck units: https://medium.com/futuresin/the-number-behind-dark-energy-f1175e20f3b8 The lists of Fibonacci and Lucas numbers are well known, and the dimensional values of 4, 10, and 26 are known to String Theorists. But you must be with our glorious President in knowing better than all these actual specialists working in these areas. Hope you've taken precautions against coronavirus, because IT doesn't give a damn about ideologically-motivated opinions. Jess Tauber
  13. Call it what you want- the math itself is irrefutable. Or are you ignorant about that? Jess Tauber
  14. In a set of recent posts I put up on Facebook under various discussion forums, I presented the idea that the amount of dark energy needed to account for acceleration of Hubble expansion might have some relation to the Golden Mean. That dark energy value, put by some as 1.38x 10^-123, has a numerical coefficient that looks (as far as it goes) for all the world like 2-phi, the latter part being the smaller value of the Golden Mean, 0.618033989...., or (sqrt5-1)/2. 123 is itself a Lucas number, one of the generalized Fibonacci series whose ratios of nearest neighbor terms gives values increas
  15. As I might have mentioned in previous postings to this section, I've studied phonosemantics (the connection between linguistic form and meaning) for 40 years now, and have examined around 150 languages from around the world looking for patterns, and trying to analyze them where they are present. Of these languages, Santali (a Munda language from northeastern India, a member of the larger Austroasiatic stock most of whose members are in Southeast Asia (Mon-Khmer), seems to be the richest in the most transparent words, called expressives (though ideophones are more commonly used to name such w
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