Tag: mathematics
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A Derivation of the Canonical Commutation Relation [q, p] = iℏ from the McGucken Principle of the Fourth Expanding Dimension dx4/dt = ic
Two Independent Derivations Showing That the Foundational Equation of Quantum Mechanics Is a Geometric Theorem of dx4/dt = ic Elliot McGucken, Ph.D.elliotmcguckenphysics.com “More intellectual curiosity, versatility and yen for physics than Elliot McGucken’s I have never seen in any senior or graduate student. . . Originality, powerful motivation, and a can-do spirit make me think that McGucken is…
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A Formal Derivation of the Standard Model Lagrangians and General Relativity from McGucken’s Principle of the Fourth Expanding Dimension dx₄/dt = ic: Gauge Symmetry, Maxwell’s Equations, and the Einstein–Hilbert Action as Theorems of a Single Geometric Postulate
Dr. Elliot McGucken Light, Time, Dimension Theory — elliotmcguckenphysics.com JA Wheeler: “More intellectual curiosity, versatility and yen for physics than Elliot McGucken’s I have never seen in any senior or graduate student. . . Originality, powerful motivation, and a can-do spirit make me think that McGucken is a top bet for graduate school in physics.…
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Gauge Symmetry, Maxwell’s Equations, and the Einstein–Hilbert Action as Theorems of a Single Geometric Postulate–Deriving the Standard Model Lagrangians and General Relativity from the Expanding Fourth Dimension dx₄/dt = ic
Dr. Elliot McGucken Light, Time, Dimension Theory — elliotmcguckenphysics.com JA Wheeler: “More intellectual curiosity, versatility and yen for physics than Elliot McGucken’s I have never seen in any senior or graduate student. . . Originality, powerful motivation, and a can-do spirit make me think that McGucken is a top bet for graduate school in physics.…
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The McGucken Principle and the Deeper Spacetime Reality Behind Noether’s Theorem
The McGucken Principle and the Deeper Spacetime Reality Behind Noether’s Theorem Dr. Elliot McGuckenLight, Time, Dimension Theory (LTD Theory)dx₄/dt = ic: The Fourth Dimension Expands at the Velocity of Light c Abstract Noether’s theorem states that every continuous symmetry of the action yields a conserved quantity: time translation symmetry gives energy conservation, spatial translations give…
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The McGucken Principle of a Fourth Expanding Dimension (dx₄/dt = ic) as a Natural Furthering of Woit’s Euclidean Twistor Unification
by Dr. Elliot McGucken Table of Contents Abstract Peter Woit’s Euclidean Twistor Unification proposes that taking Euclidean signature spacetime with its local Spin(4) = SU(2) × SU(2) symmetry as fundamental, one can gauge one SU(2) factor to obtain a chiral spin connection formulation of general relativity and the other to obtain the Standard Model gauge…
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The Solution to the CMB Preferred Frame Problem:The McGucken Principle of a Fourth Expanding Dimension dx4/dt=ic. One Principle = All of Relativity.
Theoretical Physics The Solution to the CMB Preferred Frame Problem:The McGucken Principle of a Fourth Expanding Dimension dx4/dt=ic. One Principle = All of Relativity. dx₄/dt = ic One Principle. All of Relativity. The Solution to the CMB Preferred Frame Problem The frame in which the Cosmic Microwave Background is isotropic is the frame of absolute rest in x₁x₂x₃…
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The McGucken Principle (dx₄/dt = ic) as the Physical Mechanism Underlying Huygens’ Principle, the Principle of Least Action, Noether’s Theorem, and the Schrödinger Equation
Dr. Elliot McGuckenLight, Time, Dimension Theoryelliotmcguckenphysics.com Abstract The McGucken Principle — that every point of the fourth dimension x₄ expands in a spherically symmetric manner at the rate of c, as given by dx₄/dt = ic, where x₄ = ict is Minkowski’s imaginary fourth coordinate — is shown to be the single physical mechanism underlying…
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A Derivation of the Uncertainty Principle ΔxΔp ≥ ℏ/2 from the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic –The Expanding Fourth Dimension, the Imaginary Unit, and the Uncertainty Principle
Abstract We demonstrate that the Heisenberg uncertainty principle ΔxΔp ≥ ℏ/2 can be derived as a direct consequence of the McGucken Principle: the fourth dimension of spacetime is expanding at the speed of light c relative to the three spatial dimensions, expressed by the McGucken equation dx₄/dt = ic. Starting from this single geometric postulate, we show that…
The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: dx4/dt=ic : Ergo physics. QED 