https://elliotmcguckenphysics.com/2026/04/26/the-mcgucken-duality-the-mcgucken-principle-as-grand-unification-how-dx%e2%82%84-dt-ic-unifies-general-relativity-quantum-mechanics-and-thermodynamics-as-theorems-of-a-single-physical-geom/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-27T00:02:10+00:00The McGucken Duality & THE MCGUCKEN PRINCIPLE AS GRAND UNIFICATION: How dx₄/dt = ic Unifies General Relativity, Quantum Mechanics, and Thermodynamics as Theorems of a Single Physical, Geometric Principlehttps://elliotmcguckenphysics.com/2026/04/26/general-relativity-derived-from-the-mcgucken-principle-a-unique-simple-and-complete-derivation-of-general-relativity-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T21:38:15+00:00GENERAL RELATIVITY DERIVED FROM THE MCGUCKEN PRINCIPLE: A Unique, Simple, and Complete Derivation of General Relativity as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic: A Formal Derivation from First Geometric Principle dx₄/dt = ic to the Einstein Field Equations and Their Canonical Solutions, with the Postulates of General Relativity Reduced to Theorems and the Equivalence Principle, Geodesic Hypothesis, Christoffel Connection, Stress-Energy Conservation, and No-Graviton Conclusion All Generated as Parallel Sibling Consequences of a Single Geometric Principlehttps://elliotmcguckenphysics.com/2026/04/26/quantum-mechanics-derived-from-the-mcgucken-principle-a-unique-simple-and-complete-derivation-of-quantum-mechanics-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension-d/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T21:36:49+00:00QUANTUM MECHANICS DERIVED FROM THE MCGUCKEN PRINCIPLE: A Unique, Simple, and Complete Derivation of Quantum Mechanics as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic: A Formal Derivation from First Geometric Principle dx₄/dt = ic to the Schrödinger and Dirac Equations, the Born Rule, Quantum Nonlocality, and the Full Feynman-Diagram Apparatus, with the Postulates of Quantum Mechanics Reduced to Theorems and the Hamiltonian–Lagrangian, Heisenberg–Schrödinger, Wave–Particle, and Locality–Nonlocality Dualities Generated as Parallel Sibling Consequences of a Single Geometric Principlehttps://elliotmcguckenphysics.com/2026/04/26/thermodynamics-derived-from-the-mcgucken-principle-a-unique-simple-and-complete-derivation-of-thermodynamics-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension-dx/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T21:32:41+00:00THERMODYNAMICS DERIVED FROM THE MCGUCKEN PRINCIPLE: A Unique, Simple, and Complete Derivation of Thermodynamics as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ichttps://elliotmcguckenphysics.com/2026/04/26/a-unique-simple-and-complete-derivation-of-general-relativity-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension-dx%e2%82%84-dt-ic-2/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T20:03:04+00:00A Unique, Simple, and Complete Derivation of General Relativity as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ichttps://elliotmcguckenphysics.com/2026/04/25/the-exhaustiveness-of-the-seven-mcgucken-dualities-a-three-form-proof-via-closure-by-exhaustion-categorical-terminality-and-empirical-audit-establishing-that-the-seven-dualities-of-physic/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T01:36:22+00:00The Exhaustiveness of the Seven McGucken Dualities: A Three-Form Proof via Closure-by-Exhaustion, Categorical Terminality, and Empirical Audit — Establishing that the Seven Dualities of Physics (Hamiltonian/Lagrangian, Conservation/Second Law, Heisenberg/Schrödinger, Wave/Particle, Locality/Nonlocality, Mass/Energy, Time/Space) Form a Closed and Terminal Catalog of Kleinian-Pair Dualities Descending from dx4/dt = ichttps://elliotmcguckenphysics.com/2026/04/25/mcgucken-quantum-formalism-the-novel-mathematical-structure-of-dual-channel-quantum-theory-underlying-the-physical-mcgucken-principle-of-a-fourth-expanding-dimension-dx%e2%82%84-dt-ic-a-comprehens/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T00:59:52+00:00McGucken Quantum Formalism: The Novel Mathematical Structure of Dual-Channel Quantum Theory underlying the Physical McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic: A Comprehensive Survey of Prior Art in Quantum Theory and Identification of the Novel Categorical Claim — Companion Paper to McGucken Geometryhttps://elliotmcguckenphysics.com/2026/04/25/mcgucken-geometry-the-novel-mathematical-structure-of-moving-dimension-geometry-underlying-the-physical-mcgucken-principle-of-a-fourth-expanding-dimension-dx%e2%82%84-dt-ic/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-26T00:01:15+00:00McGucken Geometry: The Novel Mathematical Structure of Moving-Dimension Geometry underlying the Physical McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ichttps://elliotmcguckenphysics.com/2026/04/25/a-unique-simple-and-complete-derivation-of-thermodynamics-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension-dx%e2%82%84-dt-ic-closing-einsteins-three-gaps/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-25T22:19:19+00:00A Unique, Simple, and Complete Derivation of Thermodynamics as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic : Closing Einstein’s Three Gaps in the Boltzmann-Gibbs Programme — The Probability Measure as Haar Measure on ISO(3), Ergodicity as Huygens-Wavefront Identity, and the Second Law as the Strict Theorem dS/dt > 0 from a Single Geometric Principlehttps://elliotmcguckenphysics.com/2026/04/25/a-unique-simple-and-complete-derivation-of-quantum-mechanics-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension-dx%e2%82%84-dt-ic-a-formal-derivation-from-first-geome/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-25T20:40:58+00:00A Unique, Simple, and Complete Derivation of Quantum Mechanics as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic A Formal Derivation from First Geometric Principle to the Schrödinger and Dirac Equations, the Born Rule, and Quantum Nonlocalityhttps://elliotmcguckenphysics.com/2026/04/25/a-unique-simple-and-complete-derivation-of-general-relativity-as-a-chain-of-theorems-of-the-mcgucken-principle-of-a-fourth-expanding-dimension-dx%e2%82%84-dt-ic/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-25T17:39:44+00:00A Unique, Simple, and Complete Derivation of General Relativity as a Chain of Theorems of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ichttps://elliotmcguckenphysics.com/2026/04/25/the-mcgucken-kleinian-programme-as-the-geometric-foundation-of-constructor-theory-a-categorical-formalization/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-25T16:13:01+00:00The McGucken–Kleinian Programme as the Geometric Foundation of Constructor Theory: A Categorical Formalizationhttps://elliotmcguckenphysics.com/2026/04/25/the-mcgucken-lagrangian-as-unique-simplest-and-most-complete-a-multi-field-mathematical-proof/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-25T15:55:18+00:00The McGucken Lagrangian as Unique, Simplest, and Most Complete: A Multi-Field Mathematical Proof (McGucken vs. Newton, Maxwell, Einstein-Hilbert, Dirac, Yang-Mills, Standard Model, and String Theory)