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| viXra.org > Relativity and Cosmology > 2611 |
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[5] viXra:2611.0027 [pdf] submitted on 2026-11-08 22:32:23
Authors: Mykola Kosinov
Comments: 7 Pages.
As a mathematical justification of Mach's principle, we present a system of cosmological equations that combines the parameters of the Universe and fundamental physical constants. The equations included in the system of cosmological equations were derived independently and at different times by famous scientists: Schrödinger, Blackley, Milne, Hoyle and existed in a scattered form. The system of cosmological equations, formed on the basis of Mach's principle, allows us to derive mathematically the parameters of the observable Universe with an accuracy close to the accuracy of the gravitational constant G. This translates Mach's philosophical principle about the connection between the Universe and the microworld onto a rigorous mathematical basis. The system of cosmological equations gives the following roots (parameters of the observable Universe): mass: Mu = 1.15348u2026 u202210^53 kg; radius: Ru = 0.856594u2026u202210^26 m; time: Tu = 2.85729u2026 u202210^17 s; acceleration: Ao = 10.4922u202210^-10 m/s^2, Hubble parameter H0 = 1.74991х 10^-18 s-1 (53.9967 km/s/Mpc). The derived values of the parameters of the observable Universe confirm with high accuracy the connection between the Universe and the microworld formulated by Mach. The mathematical substantiation of Mach's principle showed that the parameters of the Universe are directly related to the parameters of the fundamental object of the microworld - the ELECTRON. Mach's principle turned out to be much deeper: not only are the inertial properties of any body determined by its interaction with the entire Universe, but the parameters of the Universe themselves are directly related to the fundamental constants of the microworld.
Category: Relativity and Cosmology
[4] viXra:2611.0026 [pdf] submitted on 2026-11-08 22:27:16
Authors: Quang Ha Ngo
Comments: 35 Pages. DOI: 10.5281/zenodo.24056349
The classical Lorentz transformation provides the mathematical framework for Minkowski spacetime symmetries; however, its operational derivation implicitly assumes that space and time exhibit identical symmetric projections. This paper proposes a comprehensive, dual-pathway formulation to address the structural paradoxes within special relativity. First, by analyzing the impact of signal propagation latency on measurements across distinct inertial frames, time is decomposed into four separate operational parameters. Based on this temporal distinction, we reconstruct a new Lorentz transformation characterized by a spatial scaling factor of k=1, thereby fully preserving the principle of relativity and the invariant constancy of the speed of light c. This formulation is geometrized through a novel, localized time cone architecture that moves alongside the observers, demonstrating how equiangular coordinate axis rotation structurally ensures exact reciprocity. Second, to address the principle of relativity within a broader context, this framework is extended by relaxing its absolute validity at extreme scales. This alternative pathway introduces a static four-dimensional spacetime background field to account for the physical origins of length contraction and time dilation. Within this field-theoretic approach, the traditional Lorentz transformation is recovered not as an invariant kinematic symmetry, but as a dynamical consequence of vacuum field resistance acting upon moving excitations. Ultimately, evaluating the application of field theory to explain the operational principles of special relativity requires a rigorous, case-by-case analysis to achieve an objective theoretical conclusion.
Category: Relativity and Cosmology
[3] viXra:2611.0014 [pdf] submitted on 2026-11-03 21:49:29
Authors: Ulrich Brosinsky
Comments: 18 Pages. In English & German (Note by viXra Admin: Please cite and list scientific references)
In Newton’s world view, the passage of time is an unquestionable fact. Einstein abandoned Newton’s concept of absolute time in his Special Theory of Relativity, which requires a shift in perspective regarding the passage of time. A model is presented here that provides a complete description within the framework of the Special Theory of Relativity. A contribution to this is a mathematical justification of why time can only progress in one direction. It is based on a comparison of trigonometric functions with their hyperbolic counterparts. The assumption that the possibility of representing time in the form of a block universe proves a predetermined future is refuted, and the evolution of the block universe is described. With this description, the problem of the physical indescribability of the ‘now’ no longer arises.
Category: Relativity and Cosmology
[2] viXra:2611.0009 [pdf] submitted on 2026-11-02 14:11:12
Authors: Mueiz Gafer KamalEldeen
Comments: 4 Pages.
A proposal has been put forward to define energy and momentum in such a way that their total is conserved in a gravitational field. This conservation can be verified directly in Schwarzschild spacetime. In Kerr spacetime, however, the proposed conservation law appears to fail. Yet, once the transfer of energy—momentum from the source of the gravitational field to the test body is taken into account, it becomes clear that the proposed conservation law remains valid in this case as well
Category: Relativity and Cosmology
[1] viXra:2611.0003 [pdf] submitted on 2026-11-01 23:10:51
Authors: Omar Perez
Comments: 4 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
We extend the Lentz positive-energy soliton metric to a laboratory-realistic configuration: a cylindrical RF cavity in the TM010 mode with a cryogenic rutile dielectric core. We compute the electromagnetic stress-energy tensor, insert it into the weak-field Lentz relation, and derive the fractional optical path difference along the cavity axis. At 1 kW input power, the predicted signal is dL/L ~ 10^-42 (moving soliton) to 10^-84 (static soliton), approximately 19 to 61 orders of magnitude below achievable interferometric sensitivity. We conclude that the positive-energy soliton branch is empirically closed at laboratory energy scales on Earth. This is a quantitative boundary result, not an experimental failure.
Category: Relativity and Cosmology
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