https://elliotmcguckenphysics.com/2026/05/03/connes-spectral-triple-geometry-derived-as-theorems-of-the-mcgucken-principle-dx%e2%82%84-dt-ic-mcgucken-space-the-mcgucken-dirac-spectral-triple-the-spectral-distance-theorem-the-spec/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: dx4/dt=ic : Ergo physics. QEDen2026-05-03T17:20:56+00:00Connes’ Spectral Triple Geometry derived as Theorems of the McGucken Principle dx₄/dt = ic: McGucken Space, the McGucken–Dirac Spectral Triple, the Spectral Distance Theorem, the Spectral Action–Lagrangian Correspondence, and the Riemannian Reconstruction Theorem as Theorems of dx₄/dt = ic, with the Almost-Commutative Internal Algebra A_F as Empirical-Input Encodinghttps://elliotmcguckenphysics.com/2026/05/02/novel-reciprocal-generation-mcgucken-category-mcg-built-on-dx%e2%82%84-dt-ic-three-theorems-on-the-source-pair-%e2%84%b3_g-d_m-mutual-containment-reciprocal-generation-and-the-contai/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: dx4/dt=ic : Ergo physics. QEDen2026-05-02T23:27:38+00:00Novel Reciprocal-Generation McGucken Category McG built on dx₄/dt = ic: Three Theorems on the Source-Pair (ℳ_G, D_M) — Mutual Containment, Reciprocal Generation, and the Containment-Generation Equivalence, Establishing a New Categorical Foundation for Mathematical Physics which Completes the Erlangen Programme