The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: dx4/dt=ic : Ergo physics. QED

The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: dx4/dt=ic : Ergo physics. QED drelliot@gmail.com

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

Apr 22, 2026

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Ranger McCoy

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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

Apr 22, 2026

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Ranger McCoy

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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

Apr 21, 2026

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Ranger McCoy

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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

Apr 21, 2026

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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

Apr 21, 2026

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Ranger McCoy

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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

Apr 21, 2026

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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

Apr 20, 2026

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Ranger McCoy

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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

Apr 20, 2026

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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

Apr 20, 2026

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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

Apr 20, 2026

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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

Apr 20, 2026

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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

Apr 20, 2026

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Ranger McCoy

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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

Apr 20, 2026

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Ranger McCoy

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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

Apr 20, 2026

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Ranger McCoy

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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

Apr 19, 2026

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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

Apr 19, 2026

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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

Apr 19, 2026

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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

Apr 19, 2026

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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

Apr 19, 2026

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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

Apr 19, 2026

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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

Apr 18, 2026

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How The McGucken Principle Exalts Relativity, Photon Entropy on the McGucken Sphere, and a Testable Mechanism for Thermodynamic Entropy

Apr 18, 2026

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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

Apr 18, 2026

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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

Apr 17, 2026

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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

Apr 17, 2026

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The McGucken Nonlocality Principle: All Quantum Nonlocality Begins in Locality, and All Double Slit, Entanglement, Quantum Eraser, and Delayed Choice Experiments Exist in McGucken Spheres

Apr 17, 2026

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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

Apr 17, 2026

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Ranger McCoy

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Quantum Nonlocality and Probability from the McGucken Principle of a Fourth Expanding Dimension — How dx4/dt = ic Provides the Physical Mechanism Underlying the Copenhagen Interpretation as well as Relativity, Entropy, Cosmology, and the Constants of Nature

Apr 16, 2026

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Ranger McCoy

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A Geometric Derivation of the Born Rule P = |ψ|2 from the McGucken Principle of the Fourth Expanding Dimension dx4/dt = ic

Apr 15, 2026

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The McGucken-Bell Experiment: Detecting Absolute Motion Through Three-Dimensional Space via Directional Modulation of Quantum Entanglement Correlations: A Proposed Experiment Based on the McGucken Principle of the Fourth Expanding Dimension dx4/dt = ic

Apr 15, 2026

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Ranger McCoy

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