[5] viXra:2610.0039 [pdf] submitted on 2026-10-10 23:26:04
Authors: Renato Vieira dos Santos
Comments: 6 Pages.
When a geometric modification of spacetime is equivalent, by a field redefinition, to a theory we already know, does anything physical survive the equivalence? We examine a metric-compatible contortion of the form $K^lambda_{ muu} = F(phi),epsilon^{lambdaho}_{ muu},partial_hophi$, generated by the gradient of a scalar field and totally antisymmetric in its three indices, which is unique within its class once one requires that spinless particles follow the geodesics of general relativity. The Ricci scalar acquires a correction $R(Gamma) = R({}) + 6F^2(partialphi)^2$ that shifts the scalar kinetic term by a factor $1 - 6F^2/kappa_g$, yielding a ghost bound $M_F > 0.49,M_{m Pl}$, and the Schwarzschild metric remains an exact vacuum solution when the scalar field is constant. We show that the bosonic sector is equivalent, by a field redefinition, to a canonical scalar field minimally coupled to general relativity, so that the modification of the Kalb-Ramond duality is a statement about the parametrization rather than about the physical spectrum. The survival of a residual coupling in the matter sector is not specific to this construction, since it also occurs in the Jordan-Einstein frame equivalence of scalar-tensor theories, but the form of the surviving coupling is. Here the residual coupling is parity-odd, spin-dependent, and non-universal, affecting only matter with spin. We estimate the magnitude of this force in a cosmological background and find it to be far below observational sensitivity; we do not claim that it becomes observable in regimes that we have not calculated.
Category: Relativity and Cosmology
[4] viXra:2610.0028 [pdf] submitted on 2026-10-08 23:59:01
Authors: Werner Lange
Comments: 4 Pages. In German
This paper explains how the form of time dilation caused solely by the expansion of the universe can be modelled using light emission and light reception on different light cones.
Category: Relativity and Cosmology
[3] viXra:2610.0024 [pdf] submitted on 2026-10-07 16:50:59
Authors: Dino Bruniera
Comments: English, pages 1-5 and Italian, pages 6-10
This paper introduces a comprehensive cosmological model based on the Expanding Space Quanta (ESQ) theory, providing a realistic geometric description of cosmic evolution as a radical alternative to the standard ΛCDM paradigm. By utilizing an inverse cosmological luminosity equation grounded in pure three-dimensional spatial expansion (1 + z)³, this model enables the empirical testing and falsification of cosmic distances without the introduction of arbitrary free parameters or unobservable entities. Through an elementary kinematic analysis of the cosmological redshift (z)—empirically defined as the index of the average expansion velocity during the total photon travel time (Vm = c · z) —we demonstrate that global Type Ia Supernovae (SN Ia) observational datasets (including recent NOIRLab/DESI Hubble diagrams) mathematically signify a continuous and progressive deceleration of spatial expansion from primordial epochs to the present day. The ESQ model successfully resolves the deep epistemological and thermodynamic paradoxes of orthodox cosmology by strictly adhering to the First Law of Thermodynamics (Energy Conservation) and rigorously satisfying the methodological criteria of Occam’s Razor. The intrinsic geometric foundations of this theoretical framework and the conceptual transition from the standard mathematical metric to the physics of space quanta were formally delineated by the Author in the foundational paper titled "From Apparent to Real Universe".
Category: Relativity and Cosmology
[2] viXra:2610.0019 [pdf] submitted on 2026-10-06 00:23:26
Authors: Ali Rıza Şahi̇n
Comments: 8 Pages.
The general theory of relativity fundamentally relies on the metric tensor to describe gravitational phenomena, traditionally eschewing the vector field formulations ubiquitous in electrodynamics and quantum field theories. This study introduces a novel framework that defines the spacetime metric and its inverse via a set of underlying vector fields. By expressing the metric tensor in terms of these fields, we derive the corresponding geodesic and Einstein field equations, revealing striking structural parallels with electrodynamics—most notably, the natural emergence of a covariant Lorentz-like force and a stress-energy tensor mathematically analogous to that of electromagnetic fields. To demonstrate the astrophysical viability of this approach, we solve the equations for a spherically symmetric, static mass distribution, yielding a non-singular alternative to the Schwarzschild metric. The practical validity of this metric is subsequently tested through the recalculation of the perihelion precession of planets and the gravitational deflection of light. The results provide precise agreement with perihelion precession observations while predicting a slightly modified value for light deflection (1.90 arcsec), offering a potential theoretical basis for the historical discrepancies observed between visible light and radio wave measurements during solar eclipses.
Category: Relativity and Cosmology
[1] viXra:2610.0018 [pdf] replaced on 2026-10-06 03:58:41
Authors: Stephen W. Hosier
Comments: 7 Pages.
Spacetime velocity and related time dilation, are presented in a clearer and simpler format. Many example calculations are shown to demonstrate the simplicity of this approach.
Category: Relativity and Cosmology