Relativity and Cosmology

2608 Submissions

[7] viXra:2608.0039 [pdf] submitted on 2026-08-09 21:22:28

Toward a Covariant Multi-Epoch Completion of the Cosmological Special Theory of Relativity:Adiabatic Mode Functions and the Two-Time Propagator

Authors: Sangwha Yi
Comments: 10 Pages.

Companion reviews of the Cosmological Special Theory of Relativity(CSTR) have repeatedly identified the extension of the equal-time Klein-Gordon field quantization to a genuinely two-time(multi-epoch) propagation as the central open problem of the theory's quantum sector(Yi,2020,2021,2025).
Category: Relativity and Cosmology

[6] viXra:2608.0030 [pdf] submitted on 2026-08-06 19:08:53

Machian Mond: a Variable a0 in Galaxy Clusters

Authors: Manuel Uruena Palomo, Juan David Santander
Comments: 18 Pages.

Modified Newtonian Dynamics (MOND) generally resolves the need for dark matter in galaxy rotation curves introducing a single new constant of acceleration $a_0$. It is well known that increasing $a_0$ by a factor of a few can alleviate the residual mass discrepancies that MOND leaves in galaxy clusters. Within a parameter-free Machian interpretation of MOND, in which $a_0sim GM_u/R_u^2$ arises from the scalar sum of inverse-square distance gravitational mass contributions in the universe, we promote $a_0$ to a variable influenced by mass external to a locally enclosed region in the spherically symmetric case. Instead of a boost of $a_0$ in terms of gravitational potentials as in EMOND, we show that a boost in terms of this directionless inverse-square field roughly amounts to the boost needed to accommodate the mass discrepancies of MOND in galaxy clusters. We conclude by beginning to generalize the proposed formulation beyond spherical symmetry.
Category: Relativity and Cosmology

[5] viXra:2608.0024 [pdf] submitted on 2026-08-07 21:37:19

A Set of Solutions to the Einstein’s Vacuum Equation With a Λ-Term

Authors: Mikhail Batanov-Gaukhman
Comments: 7 Pages.

The article proposes to use all 12 metric solutions of the Einstein’s vacuum equation with the Λ-term within the framework of constructing a single system consisting of metric-dynamic models of one stable convex vacuum formation and one stable concave vacuum formation. This approach is a prerequisite for the creation of a Hierarchical Cosmological Model as part of a unified project "Geometrized Vacuum Physics Based on the Algebra of Signature" [5,6,7,8,9,10,11,12,13,14,15,16,17, 18,19,20], aimed at developing the Clifford-Einstein-Wheeler program for the complete geometrization of physics
Category: Relativity and Cosmology

[4] viXra:2608.0018 [pdf] submitted on 2026-08-04 20:55:57

The "Information as Absolute" Concept and Basic Physics

Authors: Sergey Shevchenko, Vladimir V. Tokarevsky
Comments: 30 Pages. https://arxiv.org/abs/0707.4657v6 , PACS numbers: 03.50; 12.60.-i; 12.90.+b; 14.60.Cd; 03.70.

This paper is the presentation of the 2007-2026 Planck scale informational physical model, which is based on philosophical "The Information as Absolute" concept, which was formulated mainly in 2007. In the concept it is rigorously proven that nothing exists besides some informational patterns/systems of the patterns that are elements of the absolutely fundamental, and absolutely infinite, "Information" Set. Thus Matter for sure is nothing else than some informational system of informational patterns/sub-systems — particles, fields, bodies, etc. The other fundamental base of the model is the outstanding findings of von Weizsäcker and Fredkin-Toffli, who proved that Matter is based on some binary logics ("UR hypothesis"), and that if a system consists of reversible elements, then this system doesn’t dissipate energy outside, whereas the conception above makes these findings as completely natural. That allowed to define scientifically a number of fundamental phenomena/notions, first of all "Space", "Time", "Matter", "Energy", "Inertia", and so to solve, or essentially to clarify, a number of fundamental physical problems, considering everything in Matter as some specific disturbances in Matter’s ultimate base — dense lattice of fundamental logical elements (FLE) that is placed in real Matter’s (here utmost universal "kinematical") [5]4D spacetime) — what are particles and antiparticles, what are physical senses of basic equations ib kinematics, first of all of Lorents transformations and in dynamics., etc.
Category: Relativity and Cosmology

[3] viXra:2608.0014 [pdf] submitted on 2026-08-03 20:39:38

Correspondence Principles: A Systematic Comparison of the Cosmological Special Theory of Relativity with Special Relativity, General Relativity, and Quantum Mechanics

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] replaced on 2026-08-05 16:28:15

Inertia-Gravity and General Relativity from a Fluid-Like Higgs Space-Time

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

Observational Predictions and Prospective Tests of the Cosmological Special Theory of Relativity

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