Mathematical Physics

2510 Submissions

[3] ai.viXra.org:2510.0076 [pdf] submitted on 2025-10-30 20:35:45

Foundations of GRQFT: The Polarization Identity, the Third Quadratic, the Higgs Field, and Monstrous Moonshine in GRQFT — Part X

Authors: J. W. McGreevy
Comments: 4 Pages.

We show that the polarization identity unifies the Monster group’s graded dimensions,the third quadratic x3 = m2 − x1 − x2, the spacetime metric, and the Higgs radial/angularmodes. The polarization of the j-invariant’s q-expansion yields the Monster’s representationdimensions, which in turn polarize into the third quadratic, giving the spacetime intervalds2 and the Higgs VEV. This establishes GRQFT as a complete arithmetic derivation of general relativity and the Standard Model.
Category: Mathematical Physics

[2] ai.viXra.org:2510.0058 [pdf] submitted on 2025-10-24 20:49:17

Light Ticks of Time Theory

Authors: Paul Emmett Zaffuto
Comments: 3 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

This paper proposes a novel approach to temporal measurement and structuring by using the speed of light, denoted as ��=299,792,458 m/s c=299,792,458 m/s, as the fundamental base unit for time interval construction. Departing from the anthropocentric decimal system, this method leverages fundamental physical invariants to define, scale, and coordinate time with unmatched precision. The proposed model, Lightforge Time, unifies wavelength, frequency, energy, and spatial rotation within a single coherent framework that supports symmetrical tier stepping, loop closure, and natural harmonics.
Category: Mathematical Physics

[1] ai.viXra.org:2510.0024 [pdf] replaced on 2025-10-14 00:31:21

Demonstrating a Possible Homeostatic Mechanism using Auxiliary Parameters to Represent the Metric Tensor

Authors: Stephen P. Smith
Comments: 8 Pages.

This paper develops a homeostatic model for the metric tensor by introducing an auxiliary-parameter representation that reflects the bilateral structure of CPT symmetry. Each side of the symmetry possesses a set of auxiliary parameters, W(1) and W(2), whose differences vanish at equilibrium, giving rise to the emergent metric tensor. Based on facts pertaining to the factorability of symmetric matrices, the metric is parameterized as G=WDWT, where W is a lower-triangular matrix of ten independent parameters and D=diag(-1, 1, 1, 1) encodes the Lorentzian signature. This factorable form interprets spacetime geometry as an adaptive interface maintained by homeostatic balance between conjugate sectors, rather than as a primitive geometric field. The framework unifies algebraic, geometric, and informational descriptions by linking the Gram-type form WWT to the Fisher information matrix and to Frieden’s ten amplitude functions. The result is a dynamically generative account of the metric tensor consistent with both Riemannian and Lorentzian regimes, providing a foundation for extending homeostatic principles to curvature and field dynamics.
Category: Mathematical Physics