From b2a2ee7ca925685cc41ff04a0ccccb21bbd84873 Mon Sep 17 00:00:00 2001 From: Brandon Schneider Date: Wed, 13 May 2026 21:33:35 -0500 Subject: [PATCH] =?UTF-8?q?feat(physics):=20the=20absolute=20wall=20?= =?UTF-8?q?=E2=80=94=20Newton=20fails=20at=20omega=20->=201?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 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. --- .../Semantics/Physics/NewtonWalls.lean | 41 +++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 0-Core-Formalism/lean/Semantics/Semantics/Physics/NewtonWalls.lean diff --git a/0-Core-Formalism/lean/Semantics/Semantics/Physics/NewtonWalls.lean b/0-Core-Formalism/lean/Semantics/Semantics/Physics/NewtonWalls.lean new file mode 100644 index 00000000..9550c9db --- /dev/null +++ b/0-Core-Formalism/lean/Semantics/Semantics/Physics/NewtonWalls.lean @@ -0,0 +1,41 @@ +-- 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