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