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| ai.viXra.org > Relativity and Cosmology > 2607 |
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[8] ai.viXra.org:2607.0077 [pdf] submitted on 2026-07-28 20:35:35
Authors: Mohammed chanoufi
Comments: 3 Pages.
This paper introduces a novel cosmological framework named the "Fabric Displacement Model (FDM)". We conjecture that mass does not warp or contract spacetime curvature inwardly as described by standard general relativity; rather, mass exhibits an inherent geometric repulsion that locally displaces the cosmic spacetime fabric outwardly. By defining a localized "Fabric Density Gradient" ($ho_{text{fabric}}$), we show that the displaced cosmic fabric from galactic cores accumulates at galactic fringes, generating a high-density stabilization zone. Applying this framework to the flat rotation curves of galaxies, we derive a comprehensive dynamic model that eliminates the necessity for non-baryonic Dark Matter. The resulting velocity profiles naturally recover the empirical Modified Newtonian Dynamics (MOND) scaling law ($V^4 propto GM$) as a direct consequence of fluid-like spacetime conservation laws.
Category: Relativity and Cosmology
[7] ai.viXra.org:2607.0074 [pdf] submitted on 2026-07-28 01:09:59
Authors: Juan Nava Aroza
Comments: 2 Pages.
We present a unified cosmological modelstrictly framed in 3 + 1 spacetime dimensions based on the quantum dynamics of a non-Abelian gauge vector potential under the SU(2) symmetry group. By employing a Cosmic Triad configuration, we demonstrate that the field invariant exactly preserves macroscopic spatialisotropy, satisfying the stringent constraints of the Cosmic Microwave Background (CMB). At intermediate scales, the Savvidy quantum effective Lagrangian induces a self-regulated dynamic confinement (mass gap) that identically cancels both the effective pressure and the fluid’s sound speed (w = 0, c2s = 0), reproducing Cold Dark Matter (CDM) phenomenology without requiring exotic particlesor disrupting galaxy formation. In the late infrared limit, the freezing of the chromomagnetic vacuum naturally fixesthe equation of state at the Cosmic Constant boundary (w = −1). Finally, we show that the restoration of Conformal Invariance in extreme energy regimes, governed by the field’s Asymptotic Freedom, resolves the rigid scaleproblem in Penrose’s Conformal Cyclic Cosmology (CCC), offering a consistent physical mechanism for the analytical transition between eons.
Category: Relativity and Cosmology
[6] ai.viXra.org:2607.0061 [pdf] submitted on 2026-07-24 22:05:48
Authors: Ertuğrul Karakaplan
Comments: 6 Pages. 1 figure. AI-assisted scholarly e-print.
While the standard ΛCDM model successfully describes an accelerating universe, treating Dark Energy (DE) and Cold Dark Matter (CDM) as non-interacting entities leaves the ultimate geometric and thermodynamic fate of the cosmos unresolved. Building upon interacting dark fluid models (such as the generalized Chaplygin gas) and multiply-connected topologies, this paper proposes a unified mechanical framework for a universe with a toroidal ({mathbb{T}}^{3}) geometry. I hypothesize that continuous isotropic expansion exerts escalating volumetric strain on the spacetime continuum, forcing the central hyperspace void of the torus to contract. As this geometry approaches a forced topological phase transition from a genus-1 to a genus-0 state, the resulting topological stress reaches a critical threshold. I argue that this threshold disrupts the phase equilibrium between DE and DM, halting their conversion. The inability of the metric tensor to smoothly seal the central void culminates in localized spacetime ruptures—a Topological Big Rip. Consequently, the rapid disintegration of the Dark Matter scaffold leads to the gravitational decoupling of baryonic structures, subjecting visible matter to viscous macroscopic dissolution and localized collapse in a torn continuum.
Category: Relativity and Cosmology
[5] ai.viXra.org:2607.0059 [pdf] submitted on 2026-07-25 22:33:11
Authors: Ertuğrul Karakaplan
Comments: 4 Pages.
While standard cosmological models frequently treat the Dark Sector as a non-dissipative background, the morphological duality of the universe—manifesting as spherically symmetric structures (e.g., stellar systems and dark matter halos) versus rotation-dominated vortices (e.g., spiral galaxies and black hole accretion disks)—demands a more comprehensive fluid-dynamical treatment. Building upon the framework of interacting dark fluids and topological stress, this paper investigates the dual mechanical behavior of a viscous Dark Sector. I hypothesize that isotropic volumetric components of the dark fluid act as a global confining pressure, driving the hydrostatic equilibrium necessary for spherical symmetry, while localized shear stresses and angular momentum transfer generate rotational vorticity. By applying continuum mechanics and Navier-Stokes analogies to cosmic scales, I propose a unified morphological framework that explains how distinct stress regimes dictate the geometry of cosmic structures.
Category: Relativity and Cosmology
[4] ai.viXra.org:2607.0057 [pdf] replaced on 2026-07-27 07:37:08
Authors: Tomasz Kobierzycki
Comments: 41 Pages.
This paper proposes an extension of Lorentz spacetime symmetry from the usualconnected domain of an ordinary observer to four orientation sectors defined by one andthe same invariant null boundary. The motivation is that the standard Lorentz groupdescribes all finite boosts available inside a chosen causal sector, but it does not by itselfsupply a real clock—ruler description of the neighbouring non-null domains separated fromthat sector by lightlike directions. The proposed extension completes this local orientationstructure without accelerating ordinary matter through the speed of light and withoutintroducing additional spacetimes. Every observer still has one real time axis and threereal spatial axes. The distinction between sectors is which non-null direction supplies theobserver’s clock and which three directions form its rest space.The local speed of light remains exactly equal to c in every sector. This is not imposedby assigning a different limiting velocity to each description; it follows because all sectorframes share the same null set and their admissible transformations preserve that set.Ordinary Lorentz boosts then describe motion inside any fixed sector, while the sectorextension describes the four possible causal orientations of the complete local frame. Aside sector is therefore not a superluminal state of ordinary matter. It is a Lorentzianframe in which one direction regarded as spatial by an ordinary observer supplies the singlelocal time axis, whereas the inherited ordinary time direction belongs to the side observer’sspatial rest space. Proper time remains real and future-directed, and a change of sectorchanges the clock—ruler decomposition rather than reversing or discontinuously replacingthe physical worldline.The same principle is generalised to curved spacetime by applying the sector structureto local orthonormal coframes and to the proper geometric scales on which a general-relativistic solution depends. When the scale used by one chart reaches its null boundary,the neighbouring sector evaluates the same gravitational field with the reciprocal activescale and with the corresponding sector metric. The purpose is to replace an extrapolationtoward a vanishing, singular scale by a geometrically regular continuation whose curvatureand causal distance can be tested directly. The resulting picture is one spacetime equippedwith a four-sector Lorentz atlas: local causality and the invariant light speed are preserved,while black-hole and cosmological limits can be re-examined as boundaries of sectordescriptions rather than being assumed in advance to be physical singular endpoints
Category: Relativity and Cosmology
[3] ai.viXra.org:2607.0034 [pdf] submitted on 2026-07-12 21:08:54
Authors: Alejandro Rey
Comments: 22 Pages. Code and data available
Weak-field gravity is normally treated as an instantaneous response of geometry tomatter. We test a constitutive alternative in which a geometric residual q relaxes towardthe baryonic configuration with a local clock τeff. The SPARC radial-acceleration scale fixesthe galactic benchmark at τvac = 36.6 Myr. With this clock held fixed, the theory predictsgas-lensing offsets in nine dissociative cluster mergers (r = 0.925), reproduces the isolatedGAMA weak-lensing profile (χ2/N = 1.22), and recovers the environmental dependence of6dFGSv peculiar velocities (∆AIC = 54.3). No parameter is fitted to these three holdouts. Asubsequent full-covariance lensing fit measures Arel = 1.267 ± 0.032 in isolated KiDS lenses.The covariant closure activates this optical excess in nonlinear Weyl curvature while returningArel ≃ 1 in linear FLRW geometry. A direct CAMB implementation confirms the separation.With the SPARC clock fixed before the cosmological calculation, the native Planck 2018TT, TE, EE, low-ℓ polarization, and lensing likelihoods give χ 2 = 1005.291 for TIDE and1005.337 for ΛCDM. Converged chains give βtide = 1.0128+0.0326 −0.0356 and a finite posterior forthe clock evolution. The data thus separate a relaxation clock governing dynamical lag from a curvature-activated optical projection, consistent with part of the effective halo beingresidual geometry rather than unseen particulate mass alone.
Category: Relativity and Cosmology
[2] ai.viXra.org:2607.0026 [pdf] submitted on 2026-07-11 12:34:13
Authors: Austin Fearnley
Comments: 10 Pages.
This paper proposes Holographic Cyclic Cosmology (HCC), extending previous work (Fearnley, 2016; Fearnley, 2018). We introduce a mechanism using the sampling mechanics of the Rasch ratio-scale model to explain spacetime metric collapses and cyclic crossovers without requiring Penrose’s zero-mass particles or exact conformal scaling laws. By applying ’t Hooft’s (2022) quantum cloning paradigm, incoming high-entropy matter is compressed and transported across 2D black hole boundaries without encountering localized internal singularities or relying on unstable Einstein-Rosen bridges. The resulting antipodal transport forces a global temporal inversion (τ -τ). When these pure, low-entropy clones exit into fractured, low-density cosmic sinks—functioning as pseudo-white holes—their structures operate retrocausally. To a forward-in-time observer, this inversion causes the particles to manifest macroscopically as a physical fluid with negative mass (-m). This process establishes a self-sustaining cosmological feedback engine that continuously repopulates empty space, driving accelerated dark energy expansion via runaway acceleration as modelled by Farnes (2018) and Fearnley (2018), ultimately directing the universe toward a multi-node, reheating-free cyclic crossover observable possibly as early "Little Red Dots".
Category: Relativity and Cosmology
[1] ai.viXra.org:2607.0024 [pdf] submitted on 2026-07-10 08:19:54
Authors: Rüdiger Giesel
Comments: 5 Pages.
We propose a compact effective mechanism for baryogenesis in which the CP-odd source is the oriented phase of the octonionicassociator. The signed imaginary projection of the associator defines a dimensionless field ΘA that couples derivatively to the baryoncurrent with strength cΘ. In a homogeneous radiation-dominated Universe this coupling gives an effective baryonic chemicalpotential, and baryon-number-violating reactions freeze a nonzero asymmetry when their rate falls below the Hubble rate. Theobserved baryon-to-photon ratio fixes the model-independent target cΘ˙ΘA/TD ≃ 2.4 × 10−8 at freeze-out. For Hubble-drivenrelaxation this corresponds to perturbative associator orientations at high decoupling temperatures, TD ∼ 1012—1015 GeV. We givean explicit baryonic projector, a representative dimension-six baryon-violating operator, the effective equation of motion for ΘA,and the conditions required to avoid sphaleron washout and low-energy nucleon-decay constraints
Category: Relativity and Cosmology