Day: May 3, 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
Dr. Elliot McGucken · Light, Time, Dimension Theory · elliotmcguckenphysics.com · 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…
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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
Dr. Elliot McGucken · Light, Time, Dimension Theory · elliotmcguckenphysics.com · 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…
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Connes’ Spectral Triple Geometry derived as Theorems of the McGucken Principle dx₄/dt = ic: McGucken Space, the McGucken–Dirac Spectral Triple, the Spectral Distance Theorem, the Spectral Action–Lagrangian Correspondence, and the Riemannian Reconstruction Theorem as Theorems of dx₄/dt = ic, with the Almost-Commutative Internal Algebra A_F as Empirical-Input Encoding
Dr. Elliot McGuckenLight, Time, Dimension Theoryelliotmcguckenphysics.comdrelliot@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 Abstract…
The McGucken Principle: The fourth dimension x4 is expanding at the velocity of light c: dx4/dt=ic : Ergo physics. QED 