Relativity and Cosmology

2609 Submissions

[3] ai.viXra.org:2609.0015 [pdf] submitted on 2026-09-07 19:28:03

Newtonian Gravity, Kerr Frame Dragging, and Spiral Geometry in the Pivot Universe Model

Authors: Arieh Sher
Comments: 14 Pages.

Newton’s law of gravitation and Einstein’s General Relativity describe gravity in fundamentally different ways. Newtonian theory treats gravity as an interaction between masses,whereas General Relativity describes gravity through spacetime geometry. Nevertheless,Newtonian gravity remains an excellent approximation in appropriate weak-field conditions.This paper considers a possible connection between the two descriptions within the PivotUniverse (PU) model. The universe is assumed to contain a central massive rotating object,called the Pivot, whose angular momentum produces large-scale Kerr frame dragging. Matteris proposed to move with this rotating spacetime rather than through an otherwise stationaryspace.A further hypothesis is examined. In the usual Newtonian circular-orbit relation,v^2 = GM/R, R represents radial distance from the gravitating body. The PU model considers whether, for matter following an extremely long spiral trajectory generated by frame dragging, aneffective dynamical length L could replace R,v^2 = GM/L
Category: Relativity and Cosmology

[2] ai.viXra.org:2609.0010 [pdf] submitted on 2026-09-06 20:08:25

Accumulative Cyclic Cosmology: Dark Matter as a Topological Inheritance from Finite Planck-Density Black Holes Across Cosmic Bounces

Authors: Hani Abdel-Rahim
Comments: 13 Pages.

We present a self-consistent cyclic cosmological framework that resolves the origin, nature, and observed abundance (∼ 85%) of dark matter without introducing hypothetical elementary particles. We propose that dark matter consists oftopologically neutral solitonic states (ΦDM) produced exclusively within black holecores from preceding cosmic cycles, where unphysical singularities are replaced bya finite Planck-density threshold (ρPlanck). Protected by a conserved topologicalwinding number W ∈ Z, these states are immune to perturbative decay. We introduce the Cyclic Distillation mechanism, showing how stochastic fluctuations within black holes break matter-antimatter symmetry across cycles, exhausting antimatter while leaving a residual baryonic fraction (∼ 15%) and an accumulating dark matterbackground. Under Loop Quantum Cosmology (LQC), the bounce density remains strictly lower than the black hole internal core density (ρbounce < ρPlanck). This Differential Stability Threshold ensures the dissolution of geometric event horizons and the liberation of ΦDM without disrupting its topological structure. The quantum gravitational wave energy released during horizon dissolution drives cosmic expansion and naturally reheats the universe without an inflaton field. Finally, we model intra-cycle accretion, demonstrating how progressive mass-spectrum shifts culminatein an eternal, entropy-resolving final collapse.
Category: Relativity and Cosmology

[1] ai.viXra.org:2609.0002 [pdf] submitted on 2026-09-01 20:28:01

"Spacetime" from a Realist Perspective

Authors: Adilson Gonçalo
Comments: 36 Pages. In Portuguese

This article inaugurates a series dedicated to the theme "Space-Time" from a Realist Perspective. The aim of the series is to carry out a critical analysis of the Lorentz transformations and, consequently, of theTheory of Special Relativity (SR), while proposing an alternative conceptual approach to space-time grounded in principles considered more consistent with observable physical reality In this first part, the physical, mathematical, and logical foundations associated with the Lorentz transformations are examined,with emphasis on the conceptual and kinematic aspects of their construction. The article begins with a concise presentation of the theory and its fundamental equations, followed by an analysis of the points that, according to this approach, raise questions regarding the conceptual consistency of the relativisticformulation. It should be emphasized that this stage of the work focuses exclusively on the theoretical and conceptual structure of SR. The discussion of experimental and observational aspects will be addressed in the third part of the series. Although the considerations developed in this work are mainly focused on SR,they will also address certain conceptual aspects of the Theory of General Relativity. It is important to note that the considerations presented here are not intended to diminish the fundamental contributions of the creators of Special and General Relativity, among whom Henri Poincaré, Hendrik Lorentz, and Albert Einstein stand out.
Category: Relativity and Cosmology