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feat(physics): the absolute wall — Newton fails at omega -> 1
Four walls to Newton's laws: 1. Schwall (GR): R < 2GM/c^2 2. Qwall (QM): p < h/lambda 3. Cwall (SR): v -> c 4. Twall (torsion): omega -> 1 at U(1) Landau pole (~10^27 GeV) The PRACTICAL wall is at the vacuum instability (~10^10 GeV), where the Higgs sector collapses and the SM needs extension. Below: Newton + GR + SM work. Above: torsion dominates.
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-- NewtonWalls.lean
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--
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-- Newton's laws have an absolute wall where they completely fail.
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-- In the torsion model, there are FOUR walls, not three:
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--
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-- 1. Schwall (GR): R < 2GM/c^2 — gravity dominates
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-- 2. Qwall (QM): p < h/lambda — quantum dominates
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-- 3. Cwall (SR): v -> c — relativity dominates
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-- 4. Twall (torsion): omega -> 1 — coupling manifold torsion dominates
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--
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-- The first three are the known failure points of classical mechanics.
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-- The fourth is the torsion model's addition: at the U(1) Landau pole
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-- (~10^27 GeV), the coupling manifold's torsion makes a full revolution
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-- per e-fold, and the Levi-Civita connection (torsion-free by assumption)
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-- can no longer describe spacetime.
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--
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-- The PRACTICAL wall is earlier: at the vacuum instability (~10^10 GeV),
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-- where the Higgs sector collapses and new physics is required.
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namespace Semantics.Physics.NewtonWalls
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def SCALE : Int := 65536
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-- The four walls
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-- Schwall = Schwarzschild radius (requires GR)
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-- Qwall = de Broglie wavelength (requires QM)
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-- Cwall = speed of light (requires SR)
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-- Twall = torsion wall (requires torsion model)
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-- Twall scale: U(1) Landau pole ~10^27 GeV
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-- This is where omega -> 1
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def twallScale : Int := 27 -- log10 scale
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-- Practical wall: vacuum instability ~10^10 GeV
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def practicalWall : Int := 10 -- log10 scale
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-- Newton's laws hold in the region where ALL FOUR conditions are met:
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-- R > 2GM/c^2 AND lambda < h/p AND v < c AND omega < 1
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-- Outside this region, at least one wall is breached.
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end Semantics.Physics.NewtonWalls
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