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.
This commit is contained in:
Brandon Schneider 2026-05-13 21:33:35 -05:00
parent eb03263811
commit b2a2ee7ca9

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