https://elliotmcguckenphysics.com/2026/04/24/how-the-mcgucken-principle-of-a-fourth-expanding-dimension-generates-and-unifies-the-dual-a-b-channel-structure-of-physics-a-hamiltonian-operator-formulation-b-lagrangian-path-integral-and/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-24T17:16:30+00:00How the McGucken Principle of a Fourth Expanding Dimension Generates and Unifies the Dual A-B Channel Structure of Physics: (A: Hamiltonian Operator Formulation & B: Lagrangian Path Integral) and (A: Noether Conservation Laws & B: Second Law of Thermodynamics) and (A: Heisenberg PicturHow the McGucken Principle of a Fourth Expanding Dimension Generates and Unifies the Dual A-B Channel Structure of Physics: (A: Hamiltonian Operator Formulation & B: Lagrangian Path Integral) and (A: Noether Conservation Laws & B: Second Law of Thermodynamics) and (A: Heisenberg Picture & B: Schrödinger Picture) and (A: Particle Aspect & B: Wave Aspect) and (A: Local Microcausality & B: Nonlocal Bell Correlations) and (A: Rest Mass & B: Energy of Spatial Motion) and (A: Time & B: Space) via dx₄/dt = ichttps://elliotmcguckenphysics.com/2026/04/23/feynman-diagrams-as-theorems-of-the-mcgucken-principle-propagators-vertices-loops-wick-contractions-and-the-dyson-expansion-as-iterated-huygens-with-interaction-on-the-expanding-fourth-dimension/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-23T23:24:31+00:00Feynman Diagrams as Theorems of the McGucken Principle: Propagators, Vertices, Loops, Wick Contractions, and the Dyson Expansion as Iterated Huygens-with-Interaction on the Expanding Fourth Dimensionhttps://elliotmcguckenphysics.com/2026/04/23/the-deeper-foundations-of-quantum-mechanics-how-the-mcgucken-principle-uniquely-generates-the-hamiltonian-and-lagrangian-formulations-of-quantum-mechanics-wave-particle-duality-the-schrodinger-and/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-23T22:28:38+00:00The Deeper Foundations of Quantum Mechanics: How The McGucken Principle Uniquely Generates the Hamiltonian and Lagrangian Formulations of Quantum Mechanics, Wave/Particle Duality, the Schrödinger and Heisenberg Pictures, and Locality and Nonlocality all from dx₄/dt = ichttps://elliotmcguckenphysics.com/2026/04/23/the-mcgucken-principle-as-the-common-foundation-of-the-conservation-laws-and-the-second-law-of-thermodynamics-a-remarkable-and-counter-intuitive-unification/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-23T22:07:04+00:00The McGucken Principle dx4/dt=ic as the Common Foundation of the Conservation Laws and the Second Law of Thermodynamics: A Remarkable and Counter-Intuitive Unificationhttps://elliotmcguckenphysics.com/2026/04/23/the-unique-mcgucken-lagrangian-all-four-sectors-free-particle-kinetic-dirac-matter-yang-mills-gauge-einstein-hilbert-gravitational-forced-by-the-mcgucken-principle-dx%e2%82%84-2/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-23T17:55:20+00:00The Unique McGucken Lagrangian: All Four Sectors — Free-Particle Kinetic, Dirac Matter, Yang-Mills Gauge, Einstein-Hilbert Gravitational — Forced by the McGucken Principle dx₄/dt = ic: A Derivation of the Least-Action Functional for Physics from the Single Geometric Principle dx₄/dt = ic, with a History of Lagrangian Methods from Maupertuis to Witten and a Formal Uniqueness Proofhttps://elliotmcguckenphysics.com/2026/04/22/string-theory-dynamics-from-dx%e2%82%84-dt-ic-the-results-of-wittens-string-theory-dynamics-in-various-dimensions-as-theorems-of-the-mcgucken-principle-why-the-extra-spatial-dimensi/The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=icen2026-04-22T22:00:39+00:00String Theory Dynamics from dx₄/dt = ic: The Results of Witten’s “String Theory Dynamics in Various Dimensions” as Theorems of the McGucken Principle — Why the Extra Spatial Dimensions of String Theory Are Not Required, and How the Eleven-Dimensional M-Theory Unification Follows from McGucken’s Fourth Expanding Dimension