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Geezer

@Geezer185

Pondering life, the universe and everything #Humanity #Physics #Nature #Economy #Sustainability #Equality We are caretakers & explorers. All opinions welcome.

UK Beigetreten Ekim 2016
517 Folgt224 Follower
ZORO
ZORO@_brinxinx·
But truly what exactly is the door for?
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Nick Jeffers | Möbius Field Theory - MFT
Thanks for the detailed comparison — this is worth engaging carefully. First, a correction: V10 contained an imprecise legacy comparison in the neutrino sector — the ‘~0.004 eV’ figure and ‘~15% of observed’ language were V9 placeholder estimates that were not properly updated when the crosscap mechanism was derived. V10.1 is being released to correct this. The correction changes the observational target, not the derivation — S_crosscap = 8π and m_ν = ε e^{-8π} ≈ 3.45 meV stand as derived. What changes is what that number should be compared against. The ‘backward step’ framing rests on a category error. You’re comparing PRA’s Σm_ν prediction to MFT’s m_ee prediction. These are different observables measured by different experiments. That’s not a regression — it’s a sharpening of what MFT actually predicts and to which channel. Here’s the precise state of MFT V10.1 on neutrinos: MFT predicts exactly two things about neutrino masses: 1.m₁ = 0 exactly. This follows from two independent Pmath arguments: the Z₆ mass protection theorem (f₀(3π/4) = 0) and the S₃ fixed-point theorem (k=0 is the unique fixed point of the (23) transposition). These are proved results, not assumptions. 2.m_ν = ε e^{-8π} ≈ 3.45 meV from the crosscap excitation mechanism. The topological action S_crosscap = 8π comes from three independently derived factors (2π from the Dirac kinetic structure, 6 = LCM(3,2) from Z₆ holonomy order, 2/3 from Z₃ phase mismatch plus Majorana pairing). The scale ε ≈ 313.86 MeV is fixed from the constituent quark mass sector — not tuned to neutrinos. The correct observational target for this prediction is the neutrinoless double beta decay effective Majorana mass m_ee, not Σm_ν. For normal hierarchy with m₁ = 0, the oscillation-constrained window is m_ee ∈ [1.48, 3.68] meV (PDG parameters, Majorana phases free). MFT predicts 3.45 meV — inside that window with no tuning. The V9 figure of ~0.050 eV was the legacy α⁴ template, a rough mass scale placeholder retained for Volume II bookkeeping. It was never a derived crosscap prediction. Comparing it to the V10 crosscap result and calling the difference a regression is comparing a placeholder to a derivation. On PRA’s Σm_ν ≈ 0.059 eV: this is a reasonable number consistent with oscillation data for normal hierarchy (m₁ + m₂ + m₃ ≈ 0.059 eV). But MFT doesn’t predict Σm_ν — it predicts m_ee and m₁ = 0 exactly. DESI and CMB-S4 will test Σm_ν. KamLAND-Zen, LEGEND, and nEXO will test m_ee. These experiments will adjudicate the frameworks independently, not against each other. On the structural parallel: you’re right. Non-orientable topology, dual-loop structure, three generations from geometry — two independent frameworks arriving at similar geometric intuitions is genuinely interesting and we acknowledge it. The divergence is real and healthy. Different observables, different experiments, same 2026–2029 data window to decide.
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Nick Jeffers | Möbius Field Theory - MFT
Topological correction and recovery in Möbius Field Theory. The Klein bottle has TWO fundamental loops — not one. Loop a (orientable): holonomy e^(2πi/3) — scalar, Z3, generates three generations. Koide lives here. Loop b (orientation-reversing): holonomy iγ₅ — Clifford, Z2. One traversal immediately splits left from right chirality. These act on separate spaces. No conflict. The fundamental group relation bab⁻¹ = a⁻¹ connects them: loop b swaps generations 2 and 3, leaving generation 1 as the algebraic fixed point. First generation = stable matter because it cannot be swapped. Full Z6: LCM(3,2) = 6 traversals for complete return. Earlier today we used one combined Clifford operator for both loops. Wrong. Now corrected. The Koide formula, chirality mechanism, and first generation theorem all survive — on a cleaner foundation.
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Geezer
Geezer@Geezer185·
@scitechgirl @aetherianfield It is possible to exist in 3D where the 4th D is time. Wish I could find the animation I saw years ago!
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SciTech Girl
SciTech Girl@scitechgirl·
🌀 This Bottle Shouldn’t Exist… But It Does At first glance, it looks like an ordinary glass object. But look closer. Its neck curves… twists… and somehow passes right through itself. No cuts. No joins. No clear beginning or end. It feels like a glitch in the universe. This strange object is called a Klein bottle, a concept from Topology. Here’s the chilling part: what you’re seeing isn’t even the real version. In our 3D world, this shape must pass through itself. But in a higher dimension—one we cannot see—the Klein bottle flows perfectly… without ever touching itself at all. Let that sink in. A shape that only truly exists beyond human vision. What we build here is just a shadow of something more complete… something our minds can barely grasp. So next time you see this “impossible bottle,” remember… you’re not looking at a mistake. You’re looking at a glimpse of another dimension. Source Weisstein, E. W. Klein Bottle. MathWorld—A Wolfram Web Resource.
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Polymarket
Polymarket@Polymarket·
JUST IN: Artemis II astronauts are now complaining about a horrible smell emanating from their toilet, may require servicing again.
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f i t z 🥸
f i t z 🥸@fitzgerald1337·
how do you feel about quantum mechanics?
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Geezer
Geezer@Geezer185·
@MariusReinecker @mathelirium Thanks. Yes, makes sense. I was not disputing flat wing would not work - I was thinking of a simple paper plane.
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Marius Reinecker
Marius Reinecker@MariusReinecker·
@Geezer185 @mathelirium I does. Nevertheless, a flat wing still works. Aircraft build for speed have barely curved profiles. Reduces drag, too. Strongly bulging profiles you'll find f.i. on gliders (short profile, long wing), or any plane optimized for slow speeds.
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Mathelirium
Mathelirium@mathelirium·
It is often said that the lift on a wing is generated because the flow moving over the top surface has a longer distance to travel and therefore needs to go faster. This common explanation is actually wrong.
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Marius Reinecker
Marius Reinecker@MariusReinecker·
@mathelirium The "heavy lifting is simply done by deflecting the air flow downward, resulting in a reactionary upward force. A completely flat angled board would work, too.
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