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 is expanding at the velocity of light c: dx4/dt=ic : drelliot@gmail.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, Joseph Henry Professor of Physics, Princeton University

Minkowski Space and Hilbert Space Derived and Unified via the McGucken Principle dx₄/dt = ic: How the Born Rule, Schrödinger Equation, Hilbert Space, Lorentzian Spacetime Metric, Einstein Field Equations, and the Six Wightman Axioms of Relativistic Quantum Field Theory (W1 Hilbert Space, W2 Poincaré Covariance, W3 Microcausality, W4 Field Operator Distributions, W5 Unique Poincaré-Invariant Vacuum, W6 Spectrum Condition) Descend as Theorem Chains from dx₄/dt = ic, with dx₄/dt = ic Recoverable from Each Derived Structure, and the Two Einstein Postulates of Special Relativity, the Equivalence Principle, and the Five Dirac–von Neumann Axioms as Derived Theorems and Corollaries

Jul 5, 2026

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Ranger McCoy

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The Clay Navier–Stokes Millennium Prize Problem Solved Through the McGucken Principle dx₄/dt = ic: Navier–Stokes and Thermodynamics Derived as Theorem Chains Descending from dx₄/dt = ic: The Deeper Physics Demonstrating Why Singularity Blowups Are Not Observed in Navier–Stokes: The Second Law of Thermodynamics and Absence of Navier–Stokes Singularity Blowups Forced by dx₄/dt = ic

Jul 5, 2026

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Ranger McCoy

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General Relativity Derived from the McGucken Principle dx4/dt=ic: Deriving General Relativity as Two Independent Theorem Chains Descending from dx4/dt=ic Along Both the Geometric and Algebraic Channels of dx4/dt=ic’s Duality in the Spirit of Newton’s Principia and Euclid’s Elements

Jul 5, 2026

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Ranger McCoy

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The Imaginary i Has Become the Destroyer of Information: dx₄/dt = ic’s Duality Demonstrates the Schrödinger Equation Contains the Second Law of Thermodynamics Alongside Unitarity — The Measurement Problem and Hawking–Susskind Paradox Both Dissolved

May 31, 2026

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Ranger McCoy

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From Wick to McWick: The Wick Rotation Exalted as a Physical Theorem of the McGucken Principle of a Fourth Expanding Dimension dx₄/dt = ic — The Wick Rotation in Quantum Mechanics, General Relativity, Thermodynamics, The Symmetries, and Physics as the Signature of the Deeper, Unifying Physical Reality of dx₄/dt = ic

May 31, 2026

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Ranger McCoy

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Proofs that Quantum Mechanics and Relativity Force the McGucken Principle dx₄/dt = ic: Multiple Independent Mathematical, Physical, and Intersecting Proofs That the Fourth Dimension Expands at the Velocity of Light in a Spherically Symmetric Manner from Every Spacetime Event

May 30, 2026

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Ranger McCoy

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Deriving the Hilbert Space and Born Rule from a Foundational Geometric, Physical Principle dx₄/dt = ic: Cogeneration of the Hilbert Space, the Born Rule, the Canonical Commutation Relation, the Uncertainty Principle, and the Schrödinger Equation from the McGucken Principle of the Fourth Expanding Dimension dx₄/dt = ic. And The Five Dirac–von Neumann Axioms as Corollaries of dx₄/dt = ic

May 30, 2026

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Ranger McCoy

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The McGucken Point McP dx₄/dt = ic: The Axiomatic Atom of Spacetime, General Relativity, Quantum Mechanics, The Symmetries & Conservation Laws, Action, Nonlocality, Entanglement, the Vacuum, Thermodynamics’ 2nd Law, Time and All its Arrows and Asymmetries, and Universal Holography and AdS/CFT — Solving Hilbert’s Sixth Problem and Completing the Erlangen Programme

May 19, 2026

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Ranger McCoy

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The McGucken Category McG₆ as the Foundational, Structurally Complete, and Unique Category for the Positive-Geometry Programme: Penrose Twistor Space, the Positive Grassmannian, the Amplituhedron, and Feynman Diagrams as Categorically-Equivalent Descents from dx₄/dt = ic — Completing the Categorical Quest Identified by Arkani-Hamed: Predictive Scope from the Planck Scale to the Hubble Scale — The Standard Model Lagrangian, the Eight Higgs Theorems, Quark Color, and the First-Place-Finish McGucken Cosmology as Theorems of dx₄/dt = ic

May 19, 2026

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Ranger McCoy

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The McGucken Cosmology dx₄/dt = ic Outranks Every Major Cosmological Model in the Combined Empirical Record (and McGucken accomplishes this with Zero Free Dark-Sector Parameters): First-Place Finish in All Available Rankings Across Twelve Independent Observational Tests for Dark-Sector and Modified-Gravity Frameworks — The Empirical Signature of the McGucken Symmetry, Lagrangian, and Principle dx₄/dt = ic

May 19, 2026

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THE PHYSICS OF TIME: Time and Its Arrows, Symmetries, and Asymmetries Derived and Unified as Theorems of the McGucken Principle dx₄/dt = ic: The Second Law of Thermodynamics and Conservation Laws, Quantum Unitarity and Nonlocality, the Cosmological Arrow, the Radiative Arrow, the Psychological/Biological Arrow, and the QuTime’s Arrows, Symmetries, and Asymmetries Explained and Exalted across Quantum Mechanics, General Relativity, Thermodynamics, Entropy, Symmetry, Action, and Spacetime

May 16, 2026

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Ranger McCoy

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How the McGucken Principle dx₄/dt = ic Successfully Predicts Outcomes in Five Quantum Mechanics / General Relativity / Thermodynamics Experiments while Deriving QM, GR, and Thermo as Theorems of dx₄/dt = ic: Empirical Verifications of McGucken’s Predictions for Quantum Clocks in Superposition, Gravitational Time Dilation, Superposed Thermodynamic Arrows, the Quantum Equivalence Principle, and Gravitationally Induced Entanglement Experiments

May 16, 2026

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Ranger McCoy

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The dx₄/dt = ic Derivation of the Standard Model Gauge Group and Higgs Sector G_SM = U(1)_Y × SU(2)_L × SU(3)_c (with the Higgs as Field-Theoretic Pointer to +ic) as Theorems of The McGucken Principle dx₄/dt = ic

May 16, 2026

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Ranger McCoy

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The McGucken Principle 𝑑𝑥₄/𝑑𝑡 = 𝑖𝑐 Experimentally Verified to a Bayesian Likelihood Ratio ≳ 10¹⁴¹: Deriving General Relativity and Quantum Mechanics as Independent Theorem Chains Descending from 𝑑𝑥₄/𝑑𝑡 = 𝑖𝑐 in the Spirit of Newton’s 𝑃𝑟𝑖𝑛𝑐𝑖𝑝𝑖𝑎 and Euclid’s 𝐸𝑙𝑒𝑚𝑒𝑛𝑡𝑠: 𝑑𝑥₄/𝑑𝑡 = 𝑖𝑐 as the Axiom Solving Hilbert’s Sixth Problem

May 13, 2026

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Ranger McCoy

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The McGucken Point/Sphere dx₄/dt = ic as Emergent Spacetime’s Foundational Atom Generating Gravity, Quantum Mechanics, the Lorentzian Spacetime Metric, the QFT Vacuum, and Entanglement: Penrose’s Twistors, Jacobson’s Einstein-Equation-of-State, Witten’s Holographic Entropy, Verlinde’s Entropic Gravity, Van Raamsdonk’s Entanglement-Builds-Spacetime, Maldacena’s ER=EPR, and Arkani-Hamed’s Amplituhedron as Theorem-Chains of the Single Principle dx₄/dt = ic

May 13, 2026

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Ranger McCoy

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GR’s Einstein Field Equations, QM’s Canonical Commutation Relation, and the Second Law of Thermodynamics Unified as Three Instances of One Theorem of dx₄/dt = ic: The Unification of Classical Statistical Mechanics, Quantum Mechanics, and Gravity as Lorentzian and Euclidean Signature-Readings of Iterated McGucken Sphere Propagation, and dx₄/dt = ic as the Source of Holography and AdS/CFT

May 12, 2026

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Reciprocal Generation and Huygens’ Principle in Mathematics and Physics Fathered by dx₄/dt = ic: The Reciprocally-Generative Properties of the McGucken Space-Operator Pair (ℳ_G, D_M), Whence Operators Generate Spaces of Generative Operators in Mathematics, and Points Generate Spherical Wavefronts of Generative Points in Physics, All Created by and Containing the Creator dx₄/dt = ic: Huygens as Holography and AdS/CFT

May 12, 2026

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Ranger McCoy

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Inertia from the McGucken Principle dx₄/dt = ic: A Chain-of-Theorems Derivation of Inertial Mass, Newton’s Laws, the Equivalence Principle, and the Geodesic Principle from the Physical Fact that the Fourth Dimension is Expanding at the Velocity of Light in a Spherically Symmetric Manner from Every Spacetime Event, with the Penrose No-Go Argument Dissolved by the No-Graviton Theorem and Over-Determination of Both QM and GR from a Single Principle

May 8, 2026

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The Ontic Derivation of Quantum Mechanics from dx₄/dt = ic: The Commutator, the Uncertainty Principle, the Wavepacket Spread, and the Ground State as Kinematic Theorems of x₄-Advance, with a Comprehensive Catalogue of Unexplained and Poorly Explained Physical Phenomena Resolved by the McGucken Principle

May 8, 2026

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Ranger McCoy

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Lorentz Invariance and Quantum Nonlocality as One Geometric Fact of dx₄/dt = ic: The McGucken Sphere Uniqueness Theorem

May 8, 2026

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Ranger McCoy

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The Hilbert Space of Quantum Mechanics as a Theorem of the McGucken Principle dx₄/dt = ic

May 8, 2026

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Ranger McCoy

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Novel, Unifying Geometric Derivations of the Born Rule P=|ψ|², the Canonical Commutation Relation [q̂,p̂]=iℏ, the Hilbert Space 𝓗, and the Uncertainty Principle σₓ σₚ ≥ ℏ/2 from the McGucken Principle of the Fourth Expanding Dimension dx₄/dt = ic

May 7, 2026

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Hilbert’s Sixth Problem Solved via The McGucken Axiom dx₄/dt = ic and its Generation of the McGucken Space ℳ_G and Operator D_M: A New Categorical Foundation for the Axiomatic Derivation of Mathematical Physics which Completes the Erlangen Programme: Deriving General Relativity, Quantum Mechanics, Thermodynamics, Spacetime, Symmetry, and Action as Chains of Theorems Descending from the Axiom dx₄/dt = ic

May 7, 2026

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Hilbert’s Sixth Problem Solved Via The McGucken Axiom dx₄/dt = ic: On the Axiomatic Foundations of Physics and the McGucken Principle dx₄/dt = ic as the Source-Law of Spacetime, Hilbert Space, and the Operator Hierarchy: Deriving Mathematical Physics—General Relativity, Quantum Mechanics, Thermodynamics, Spacetime, Symmetry, and Action—as Chains of Theorems Descending from an Axiom

May 7, 2026

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Light, Time, Dimension Theory — Dr. Elliot McGucken’s Five Foundational Papers 2008–2013–Exalting the Principle: The Fourth Dimension is Expanding at the Rate of c Relative to the Three Spatial Dimensions: dx4/dt=ic: With PDF Download

May 6, 2026

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The McGucken Geometry: A Novel Mathematical Category Exalted by the Principle-Axiom dx₄/dt = ic, Wherein an Axis Is Physically Expanding in a Spherically Symmetric Manner and Exalting General Relativity, Quantum Mechanics, and Thermodynamics: A New Geometric Category with Equivalent Differential-Geometric, Jet-Bundle, and Cartan-Geometric Formulations, in Which the McGucken Sphere Generates Spacetime and Gravitational, Quantum, and Thermodynamic Phenomena

May 5, 2026

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Ranger McCoy

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General Relativity and Quantum Mechanics Unified as Theorems of the McGucken Principle: The Fourth Dimension is Expanding at the Velocity of Light dx₄/dt = ic: Deriving GR & QM from a First Principle in the Spirit of Euclid’s Elements and Newton’s Principia Mathematica

May 5, 2026

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Vanquishing Infinities and Singularities via the Continuous and Discrete McGucken Spacetime Geometry: Two Theorems of the McGucken Principle dx₄/dt = ic: Finite One-Loop QED Vacuum Polarization on a Hybrid Continuous–Discrete Measure, and Axiomatic Foreclosure of the Schwarzschild–Kruskal Interior

May 5, 2026

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A Categorical No-Embedding Theorem for McGucken Geometry Underlying The McGucken Principle that the Fourth Dimension is Expanding at the Velocity of Light dx₄/dt = ic: The Moving-Dimension Manifold Category 𝓜 Is the Terminal Subcategory of Axis-Dynamics Frameworks Satisfying the Formal Privileged-Element Predicates

May 3, 2026

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The McGucken Geometry: A Novel Mathematical Category Exalted by the Physical Principle dx₄/dt = ic, Wherein an Axis Such as x₄ Is Physically Expanding in a Spherically Symmetric Manner Relative to Three Other Axes x₁, x₂, x₃: A New Geometric Category with Equivalent Differential-Geometric, Jet-Bundle, and Cartan-Geometric Formulations

May 3, 2026

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