| viXra.org > Relativity and Cosmology > 2608 |
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| viXra.org > Relativity and Cosmology > 2608 |
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[3] viXra:2608.0014 [pdf] submitted on 2026-08-03 20:39:38
Authors: Sangwha Yi
Comments: 10 Pages.
The Cosmological Special Theory of Relativity (CSTR) re-derives the Lorentz transformation, relativistic quantum mechanics, quantumfield theory, and general relativity within a cosmological inertial frame, in which a local, unexpanded spatial coordinate is related to thephysically expanded coordinate of a Robertson-Walker universe through a cosmological expansion function τ (t0) (Yi, 2020, 2025). Fivecompanion reviews have each examined a different sector of this program — special-relativistic kinematics, relativistic quantum mechanics andfield quantization, the Cosmological General Theory of Relativity’s black-hole solutions, the group-theoretic structure of the transformationitself, and the theory’s observational status — and each has found that CSTR’s predictions reduce, in a precise and recurring sense, tothose of the corresponding standard theory. This paper collects that recurring correspondence into a single, systematic set of comparisontables, juxtaposing every principal CSTR equation against its special-relativistic, quantum-mechanical, quantum-field-theoretic, or generalrelativisticcounterpart, and identifies the single limit — evaluation at a fixed cosmological epoch, equivalently τ (t0) → const — responsiblefor every instance of correspondence. We further collect, in a final comparison, the specific respects in which CSTR is not merely a relabelingof standard theory: the multi-epoch groupoid structure and the associated open questions identified in a companion review. The result isintended as a single reference synthesizing the correspondence structure of the entire CSTR program.
Category: Relativity and Cosmology
[2] viXra:2608.0012 [pdf] submitted on 2026-08-03 10:03:47
Authors: Benjamin de la Fontaine
Comments: 19 Pages. Distributed under CC BY-NC-ND 4.0
By interpreting inertia and gravity in terms of both classical electrodynamics and hydrodynamics, novel and accurate formulae for inertia, gravity and the gravitational constant can be derived from a Higgs field with precise geometric properties. Extending these formulae to general relativity, it is shown that the speed of light, the vacuum energy density, the cosmological constant, and 4-dimensional space-time curvature can also be derived from the same assumptions. A new model of general relativity and universal expansion based on a dynamically oscillating space-time is proposed.
Category: Relativity and Cosmology
[1] viXra:2608.0001 [pdf] submitted on 2026-08-02 00:12:12
Authors: Sangwha Yi
Comments: 10 Pages.
The Cosmological Special Theory of Relativity (CSTR) relates a local, unexpanded spatial coordinate to the physically expanded coordinate of a Robertson-Walker universe through a cosmological expansion function τ (t0), and re-derives relativistic wave equations, electrodynamics, and general relativity within the resulting cosmological inertial frame (Yi, 2020, 2025). Companion reviews of this program have each found, for the specific quantities they consider — Yukawa interaction ranges and cross sections, Coulomb and hydrogen-like binding energies,Schwarzschild and Kerr-Newman horizon radii, parametrized post-Newtonian coefficients, and the fixed-epoch Lorentz transformation itself— that every physically measured quantity, once expressed in the physically expanded coordinate, recovers its ordinary, epoch-independentvalue, with the cosmological expansion function appearing only in the corresponding local-coordinate expression. This paper draws togetherthat recurring finding into an explicit observational assessment: because CSTR predicts no departure from ordinary physics for any process confined to a single cosmological epoch, the theory is not constrained, but also not yet tested, by existing single-epoch observations, including present bounds on the time-variation of the fine-structure constant and the proton-to-electron mass ratio from quasar absorption spectroscopy. We argue that a genuine test of CSTR requires a process that spans a cosmologically significant interval of time within a single observation — such as the redshift-drift (Sandage-Loeb) test, multi-epoch photon propagation, or cosmological particle creation — precisely the regime in which a companion review has shown that CSTR’s transformation law departs from a simple group structure. We summarize current observational bounds relevant to each sector of the theory and identify the redshift-drift test as the most concrete near-term observational program capable of constraining CSTR’s genuinely multi-epoch predictions.
Category: Relativity and Cosmology
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