History and Philosophy of Physics

2607 Submissions

[2] ai.viXra.org:2607.0041 [pdf] submitted on 2026-07-14 18:56:31

On the Twofold Differential Action of Gravitational Time Dilation upon Quantum-Coherent and -Decoherent Brain Processes

Authors: Russell S. Clark II
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

This perspective explores a speculative but physically motivated question: do quantum-coherent and quantum-decoherent processes in biological systems experience gravitationaltime dilation differently? Drawing on Roger Penrose’s one-graviton decoherence threshold,I examine the possibility of a differential gravitational coupling—a subtle, second-ordercorrection to the Einstein Equivalence Principle—that could affect the relative timing between coherent evolution and decoherence in neural networks. If such a differential coupling exists, it could have implications for any consciousness model that relies on quantum coher-ence in microtubules or other cytoskeletal structures, and might even emerge as a confound-ing factor for the psychological health of astronauts during prolonged deep-space missions. This is presented as a conjecture requiring formal development; the minimal theoreticalrequirements for turning it into a testable hypothesis are outlined
Category: History and Philosophy of Physics

[1] ai.viXra.org:2607.0002 [pdf] submitted on 2026-07-03 14:09:45

Square Roots of Spacetime: A Dirac—Penrose Primer in Geometric Algebra

Authors: Ginanjar Utama
Comments: 11 Pages.

This primer presents Dirac’s and Penrose’s "square-root" methods in one language: real geometric(Clifford) algebra. Dirac’s square root of the wave operator forces the Clifford relation and leads to rotors, spinors, and the Dirac equation; Penrose’s square root of a null vector leads to 2-spinors, flags, twistors, and the spin-network idea that geometry may be recovered from quantum angularmomentum. The exposition is written for graduate students who know special relativity and elementary quantum mechanics. It keeps the historical claims modest, separates convention from invariant content, and works every major idea through a concrete computation: the belt trick, theHestenes form of the Dirac equation, the null flagpole, the Dirac—Penrose conformal bridge, thespin-geometry theorem, and a complete 2+1 dimensional miniature in which bivectors, Lorentzorbits, unitary representations of SU(1, 1), and Clifford-signature superselection all fit into onediagram. Sixteen exercises are included so that the reader can verify the algebra rather than merely admire it.
Category: History and Philosophy of Physics