Author: Ranger McCoy
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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
Dr. Elliot McGucken Light Time Dimension Theory elliotmcguckenphysics.com April 2026 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. — Dr. John…
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The 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 = ic
A Structural Analysis of Why the McGucken Principle — Alone Among Candidate Foundations for Quantum Mechanics — Possesses the Dual-Channel Content That Generates the Hamiltonian and Lagrangian Formulations, the Heisenberg and Schrödinger Pictures, and the Wave and Particle Aspects of Quantum Objects as Simultaneous Consequences of a Single Geometric Principle, With a Formal Geometric Proof…
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The McGucken Principle dx4/dt=ic as the Common Foundation of the Conservation Laws and the Second Law of Thermodynamics: A Remarkable and Counter-Intuitive Unification
The McGucken Principle as the Common Foundation of the Conservation Laws and the Second Law of Thermodynamics: A Remarkable and Counter-Intuitive Unification How a Single Geometric Principle dx₄/dt = ic Simultaneously Generates the Time-Symmetric Noether Currents of the Poincaré, U(1), SU(2)_L, SU(3)_c, and Diffeomorphism Groups AND the Time-Asymmetric Second Law of Thermodynamics and the Five…
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The 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 Proof
Dr. Elliot McGucken Light Time Dimension Theory elliotmcguckenphysics.com April 2026 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.. — John Archibald Wheeler, Joseph Henry Professor of…
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String 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
Dr. Elliot McGucken Light Time Dimension Theory 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 a top bet for graduate school in physics. — Dr. John Archibald Wheeler,…
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The Amplituhedron from dx₄/dt = ic: Positive Geometry, Emergent Locality and Unitarity, Dual Conformal Symmetry, the Yangian, and the Absence of Spacetime as Theorems of the McGucken Principle of McGucken’s Fourth Expanding Dimension
Dr. Elliot McGucken Light Time Dimension Theory elliotmcguckenphysics.com April 2026 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. — Dr. John…
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AdS/CFT from dx₄/dt = ic: The GKP–Witten Dictionary as Theorems of the McGucken Principle — Holography, the Master Equation Z_CFT[φ₀] = Z_AdS[φ|_∂ = φ₀], the Dimension-Mass Relation, the Hawking–Page Transition, and the Ryu–Takayanagi Formula as Consequences of McGucken’s Fourth Expanding Dimension
Dr. Elliot McGucken Light Time Dimension Theory elliotmcguckenphysics.com April 2026 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. — Dr. John…
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A Derivation of the de Broglie Relation p = h/λ from the McGucken Principle dx₄/dt = ic: Wave-Particle Duality as a Geometric Consequence of the Expanding Fourth Dimension, with a Comparative Analysis of the Heuristic, Covariant-Relativistic, and Geometric-Algebra Approaches
Elliot McGucken, PhD — elliotmcguckenphysics.com — April 2026 “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.”— John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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The McGucken Principle of a Fourth Expanding Dimension Exalts and Unifies The Conservation Laws: How the Symmetries of Noether’s Theorem, the Conservation Laws of the Poincaré, U(1), SU(2), SU(3), Diffeomorphism Groups, and the Imaginary Structure of Quantum Theory and Complexification of Physics arise from dx₄/dt = ic
Dr. Elliot McGucken Light Time Dimension Theory elliotmcguckenphysics.com April 2026 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. — Dr. John…
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A Novel Geometric Derivation of the Canonical Commutation Relation [q, p] = iℏ Based on the McGucken Principle dx4/dt=ic: A Comparative Analysis of Derivations of [q, p] = iℏ in Gleason, Hestenes, Adler, and the McGucken Quantum Formalism
Elliot McGucken, PhD — elliotmcguckenphysics.com — April 2026 “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.”— John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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Theorems of dx₄/dt = ic: How the McGucken Principle of a Fourth Expanding Dimension Derives Leonard Susskind’s Six Black Hole Programmes: Holographic Principle, Complementarity, Stretched Horizon, String Microstates, ER = EPR, and Complexity
Dr. Elliot McGucken Light Time Dimension Theory 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 a top bet. — Dr. John Archibald Wheeler, Joseph Henry Professor of Physics,…
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How the McGucken Principle of a Fourth Expanding Dimension Derives the Results of Hawking’s “Particle Creation by Black Holes” (1975): dx₄/dt = ic as the Physical Mechanism Underlying Hawking Radiation, the Hawking Temperature, the Bekenstein–Hawking Formula S = A/4, the Refined Generalized Second Law, and Black-Hole Evaporation
Dr. Elliot McGuckenLight Time Dimension Theoryelliotmcguckenphysics.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 a top bet.”— Dr. John Archibald Wheeler, Joseph Henry Professor of Physics, Princeton University Abstract…
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How the McGucken Principle of a Fourth Expanding Dimension Derives the Results of Bekenstein’s “Black Holes and Entropy” (1973): dx₄/dt = ic as the Physical Mechanism Underlying Black-Hole Entropy, the Area Law, the Bit-Per-8π ℓ_P² Coefficient, the Generalized Second Law, and Entropy as Missing Information
Dr. Elliot McGuckenLight Time Dimension Theoryelliotmcguckenphysics.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 a top bet.”— Dr. John Archibald Wheeler, Joseph Henry Professor of Physics, Princeton University Abstract…
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How the McGucken Principle of a Fourth Expanding Dimension Resolves the Open Problems of Witten’s Twistor Programme: dx₄/dt = ic as the Physical Mechanism Underlying Perturbative Gauge Theory as a String Theory in Twistor Space, Conformal Supergravity in Twistor-String Theory, Parity Invariance for Strings in Twistor Space, and the 1978 Twistor Formulation of Classical Yang–Mills Theory
Dr. Elliot McGuckenLight Time Dimension Theoryelliotmcguckenphysics.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 a top bet.”— Dr. John Archibald Wheeler, Joseph Henry Professor of Physics, Princeton University Abstract…
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How the McGucken Principle of a Fourth Expanding Dimension Gives Rise to Twistor Space: dx₄/dt = ic as the Physical Mechanism Underlying Penrose’s Twistor Theory
Dr. Elliot McGucken — Light Time Dimension Theory — 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 a top bet.”— Dr. John Archibald Wheeler, Joseph Henry Professor of Physics, Princeton…
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The Wick Rotation as a Theorem of dx₄/dt = ic: How the McGucken Principle of the Fourth Expanding Dimension Provides the Physical Mechanism Underlying the Wick Rotation and All of Its Applications Throughout Physics
Dr. Elliot McGucken — Light Time Dimension Theory — elliotmcguckenphysics.com Abstract The Wick rotation is the substitution t → −iτ that takes Minkowski-signature physics into Euclidean-signature physics. It was introduced by Gian-Carlo Wick in 1954 as a mathematical convenience: the Minkowski path integral ∫𝒟φ e^{iS[φ]/ℏ} is oscillatory and only formally defined, but under t → −iτ the…
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McGucken Holography for FRW and de Sitter Space from a Single Master Principle: dx₄/dt = ic, the McGucken Sphere, Cosmological Holography, an Explicit Horizon Surface Term, and a Testable Departure from the Hubble-Horizon Entropy
Elliot McGucken, PhD — elliotmcguckenphysics.com — April 2026 “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.”— John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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Conservation Laws as Shadows of dx₄/dt = ic: A Formal Development of the McGucken Principle of the Fourth Expanding Dimension as a Geometric Antecedent to the Symmetries Underlying Noether’s Theorem
Dr. Elliot McGucken — Light Time Dimension Theory — elliotmcguckenphysics.com Abstract Physics has long known that every conservation law — of energy, of momentum, of angular momentum, of electric charge — corresponds to a symmetry of nature. Energy is conserved because the laws of physics are the same today as yesterday; momentum is conserved because they are…
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The McGucken Quantum Formalism versus Bohmian Mechanics: A Comprehensive Comparison, with Discussion of the Pilot Wave, the Quantum Potential, the Preferred Foliation Problem, the Born Rule Derivations, and How the McGucken Principle dx₄/dt = ic Provides a Physical Mechanism Underlying the Copenhagen Formalism
Elliot McGucken, PhD — elliotmcguckenphysics.com — April 2026 “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.”— John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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The McGucken Quantum Formalism versus the Transactional Interpretation: A Comprehensive Comparison, with Discussion of Maudlin’s Contributions, the Born Rule Derivations, and How the McGucken Principle dx₄/dt = ic Provides a Physical Mechanism Beneath the Copenhagen Formalism
“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.”— John Archibald Wheeler, Princeton’s Joseph Henry Professor of Physics Abstract The Transactional Interpretation (TI) of quantum…
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The Cabibbo Angle from Quark Mass Ratios in the McGucken Principle Framework: A Partial Version 2 Derivation of the CKM Matrix from dx₄/dt = ic and a Geometric Reading of the Gatto-Fritzsch Relation
Elliot McGucken, PhD elliotmcguckenphysics.com — April 2026 “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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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The CKM Complex Phase and the Jarlskog Invariant from the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic: Compton-Frequency Interference, the Kobayashi-Maskawa Three-Generation Requirement as a Geometric Theorem, and Numerical Verification at Version 1 Scope
Elliot McGucken, PhD elliotmcguckenphysics.com — April 2026 “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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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Quantum Electrodynamics from the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic: Local x₄-Phase Invariance, the U(1) Gauge Structure, Maxwell’s Equations, and the QED Lagrangian
Elliot McGucken, PhD elliotmcguckenphysics.com — April 2026 “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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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Second Quantization of the Dirac Field from the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic: Creation and Annihilation Operators as x₄-Orientation Operators, Fermion Statistics as a Theorem, and Pair Processes as x₄-Orientation Flips
Elliot McGucken, PhD elliotmcguckenphysics.com — April 2026 “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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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The Geometric Origin of the Dirac Equation: Spin-½, the SU(2) Double Cover, and the Matter-Antimatter Structure from the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic
Elliot McGucken, PhD elliotmcguckenphysics.com — April 2026 “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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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The McGucken Principle as the Physical Foundation of Holography and AdS/CFT– How dx₄/dt = ic Naturally Leads to Boundary Encoding of Bulk Information, the Derivation of ℏ from c, G, and the Physical Identification λ₈ = lₚ, and the Formal Identification of dx₄/dt = ic as the Geometric Source of Quantum Nonlocality
“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” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of Physics, on Dr. Elliot McGucken Elliot McGucken,…
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How The McGucken Principle Exalts Relativity, Photon Entropy on the McGucken Sphere, and a Testable Mechanism for Thermodynamic Entropy
“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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of Physics, on Dr. Elliot McGucken Abstract The McGucken Principle…
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A Compton Coupling Between Matter and the Expanding Fourth Dimension: A Proposed Matter Interaction for the McGucken Principle, with Consequences for Diffusion and Entropy
The McGucken Principle states that the fourth dimension x₄ physically expands at rate ic. A complete physical theory requires, in addition, a specification of how matter interacts with that expansion. We propose the Compton coupling as that matter–x₄ interaction and derive the diffusion and entropy consequences, including a zero-temperature residual diffusion whose mass-independence provides a…
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The McGucken Principle as the Physical Foundation of the Holographic Principle and AdS/CFT: How dx4/dt = ic Naturally Leads to Boundary Encoding of Bulk Information: How dx4/dt = ic Naturally Leads to Boundary Encoding of Bulk Information
Null Surfaces, Expanding Light Spheres, and the Geometric Origin of Holographic Duality 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 a top bet” —…
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The Born Rule as a Geometric Theorem of the Expanding Fourth Dimension: A Derivation from Spacetime Geometry via the McGucken Principle– How P = |ψ|2 Follows from the SO(3) Symmetry of the McGucken Sphere, and How This Differs from Gleason, Deutsch-Wallace, Zurek, Hardy
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 a top bet” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of Physics, on Dr. Elliot…