Tag: science
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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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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
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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of Physics, on Dr. Elliot McGucken Abstract This paper presents the deeper physical foundations underlying quantum probability, quantum nonlocality, and the Copenhagen Interpretation.…
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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
Why Probability Is the Squared Modulus of the Amplitude: The Complex Character of x4 = ict Uniquely Determines the Born Rule Elliot McGucken “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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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
Elliot McGucken “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.” — John Archibald Wheeler, Princeton’s Joseph Henry Professor of…
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The McGucken Principle of the Fourth Expanding Dimension (dx4/dt = ic) as the Resolution of the Vacuum Energy Problem and the Cosmological Constant
Why the Cosmological Constant Is an IR Quantity Determined by the Expansion Rate H0, Not a UV Quantity Determined by the Planck Scale — and Why QFT Overcounts by 10122 Elliot McGucken “More intellectual curiosity, versatility and yen for physics than Elliot McGucken’s I have never seen in any senior or graduate student. . . Originality,…
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The McGucken Principle of the Fourth Expanding Dimension (dx4/dt = ic) as a Geometric Resolution of the Horizon Problem, the Flatness Problem, and the Homogeneity of the Cosmic Microwave Background — Without Inflation
How a Shared Geometric Expansion Thermalizes the Universe Without Superluminal Signals, Without Entanglement-Based Communication, and Without an Inflationary Epoch Elliot McGucken “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…
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The McGucken Principle and Proof: The Fourth Dimension Is Expanding at the Velocity of Light dx4/dt=ic as a Foundational Law of Physics
by Dr. Elliot McGucken “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. . . I say this on the…
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The McGucken Invariance & Einstein’s Simultaneity: How Different Trains Can Agree on “Now.”
Introduction Einstein’s famous train thought experiment tells us something shocking: two lightning strikes that are “at the same time” for someone standing on a platform are not at the same time for someone on a moving train. This is the relativity of simultaneity. That conclusion can feel deeply unsettling. If different observers cannot even agree on which events…
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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 Derivation of Maxwell’s Equations: A Detailed Geometric Reconstruction
Dr. Elliot McGuckenLight, Time, Dimension Theory (LTD Theory)The fourth dimension x₄ expands at the velocity of light c: dx4/dt=ic Abstract This paper presents a detailed geometric reconstruction of Maxwell’s equations from the McGucken Principle, the assertion that the fourth dimension x₄ is a genuine geometric axis advancing at the velocity of light according to dx₄/dt…
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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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One Principle Solves Eleven Cosmological Mysteries: How the McGucken Principle of the Fourth Expanding Dimension (dx₄/dt = ic) Resolves the Greatest Open Problems in Cosmology, Including the Low-Entropy Initial Conditions Problem
Dr. Elliot McGucken From the Hubble Tension, the Cosmological Constant Catastrophe, and the Low-Entropy Initial Conditions Problem to the Baryon Asymmetry, Inflation, Dark Matter, Dark Energy, the Axis of Evil, Fast Radio Bursts, and the Shape and Fate of the Universe — a Single Geometric Postulate as the Unified Foundation of Cosmological Understanding, with a…
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How the McGucken Principle of the Fourth Expanding Dimension (dx₄/dt = ic) Accounts for the Standard Model’s Broken Symmetries, Time’s Arrows and Asymmetries, and Much More
From a single geometric postulate — one physically real dimension expanding perpendicular to the three spatial dimensions at the rate of c — every broken symmetry, every arrow of time, and the deepest structures of physics all follow as theorems. “More intellectual curiosity, versatility and yen for physics than Elliot McGucken’s I have never seen…
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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 McGucken Principle (dx₄/dt = ic) an Alternative to Loop Quantum Gravity: A Comprehensive Comparison Demonstrating Greater Explanatory Power, Greater Economy, and Greater Unification from a Single Geometric Postulate
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. He could and did, and…
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The McGucken Principle of a Fourth Expanding Dimension (dx₄/dt = ic) as a Physical Mechanism underlying Penrose’s Twistor 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. He could and did, and wrote it all up in a beautifully…
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The McGucken Principle of a Fourth Expanding Dimension (dx₄/dt = ic) as a Candidate Physical Mechanism for Jacobson’s Thermodynamic Spacetime, Verlinde’s Entropic Gravity, and Marolf’s Nonlocality Constraint (And So Much More)
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. He could and did, and wrote it all up in…
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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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A Brief History of Dr. Elliot McGucken’s Principle of the Fourth Expanding Dimension dx4/dt=ic: Princeton and Beyond
A Brief History of Dr. Elliot McGucken’s Principle of the Fourth Expanding Dimension dx4/dt=ic: Princeton and Beyond Moving Dimensions Theory (MDT) → Dynamic Dimensions Theory (DDT) → Light Time Dimension Theory (LTD) → dx4/dt = ic elliotmcguckenphysics.com Compiled April 2026 Abstract This document provides the first comprehensive chronological record of Dr. Elliot McGucken’s theory of the physically expanding…
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The McGucken Principle as the Completion of Kaluza–Klein: How dx4/dt = ic Reveals the Dynamic Character of the Fifth Dimension and Unifies Gravity, Relativity, Quantum Mechanics, Thermodynamics, and the Arrow of Time
Dr. Elliot McGucken elliotmcguckenphysics.com — Light Time Dimension Theory April 2026 Abstract Kaluza (1921) and Klein (1926) demonstrated that Einstein’s general relativity and Maxwell’s electromagnetism could be unified by extending spacetime from four to five dimensions, with the fifth dimension compactified at an unobservably small radius. The Kaluza–Klein framework was the first successful geometric unification in…
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A Derivation of Newton’s Law of Universal Gravitation from the McGucken Principle of the Fourth Expanding Dimension dx4/dt=ic
Dr. Elliot McGucken A Derivation of Newton’s Law of Universal Gravitationfrom the McGucken Principle of the Fourth Expanding Dimension Dr. Elliot McGucken Light Time Dimension Theory — elliotmcguckenphysics.com April 2026 Abstract We derive Newton’s law of universal gravitation — specifically its inverse square dependence on distance — from the McGucken Principle, which states that the fourth dimension x4 of…
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The McGucken Principle (dx₄/dt = ic) as the Physical Mechanism Underlying Verlinde’s Entropic Gravity: A Unified Derivation of Gravity, Entropy, and the Holographic Principle from a Single Geometric Postulate
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. He could and did, and wrote it all up in a beautifully…
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How the McGucken Principle of a Fourth Expanding Dimension (dx₄/dt = ic) Finally Resolves the Twins Paradox
Dr. Elliot McGuckenLight, Time, Dimension Theoryelliotmcguckenphysics.com Abstract The twins paradox — the apparent contradiction between special relativity’s principle of relativity and the measured asymmetric aging of two observers in relative motion — has resisted complete resolution since Einstein first formulated special relativity in 1905. Standard treatments invoke the turnaround acceleration of the travelling twin to…
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How the McGucken Principle of a Fourth Expanding Dimension dx4/dt=ic Sets the Constants c (the Velocity of Light) and h (Planck’s Constant)
Abstract The McGucken Principle — that the fourth dimension of spacetime x₄ is a physical geometric axis advancing at the fixed imaginary rate dx₄/dt = ic, where x₄ = ict is Minkowski’s imaginary fourth coordinate, c is the speed of light, and i is the imaginary unit — is shown to provide a unified geometric…
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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…
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The Singular Missing Physical Mechanism–dx₄/dt = ic: How the Principle of the Expanding Fourth Dimension Gives Rise to the Constancy and Invariance of the Velocity of Light c; the Second Law of Thermodynamics; Time, Its Flow, Its Arrows and Asymmetries; Quantum Nonlocality, Entanglement, and the McGucken Equivalence; the Principle of Least Action; Huygens’ Principle; the Schrödinger Equation; the McGucken Sphere and the Law of Nonlocality; Vacuum Energy, Dark Energy, and Dark Matter; and the Deeper Physical Reality from Which All of Special Relativity Naturally Arises
Physics advances through unification — the recognition that phenomena previously thought to be distinct are in fact expressions of a single deeper reality. The McGucken Principle, encoded in the equation dx4/dt = ic, proposes the deepest unification yet attempted: a single geometric postulate from which the constancy and invariance of the velocity of light c;…
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The Fourth Dimension Is Expanding at the Speed of Light–How the McGucken Principle and Equation — dx₄/dt = ic — Exalts Special Relativity, the Principle of Least Action, Huygens’ Principle, and the Schrödinger Equation
How the McGucken Principle and Equation — dx₄/dt = ic — Exalts Special Relativity, the Principle of Least Action, Huygens’ Principle, and the Schrödinger Equation *By Elliot McGucken* I want to propose something that I believe cuts to the heart of what spacetime actually is. Not a new formalism. Not a new way of writing…
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Deriving The Principle of Least Action and Huygens’ Principle from The McGucken Principle — The Fourth Dimension is Expanding at the Velocity of Light c: dx4/dt=ic
Deriving the Principle of Least Action and Huygens’ Principle from dx₄/dt = ic Abstract We demonstrate that two foundational pillars of classical and wave physics — the Principle of Least Action and Huygens’ Principle — follow as rigorous mathematical consequences of a single postulate due to Dr. Elliott McGucken: that the fourth dimension of spacetime expands at…
The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: x4=ict, ergo dx4/dt=ic 