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[19] ai.viXra.org:2510.0079 [pdf] submitted on 2025-10-31 00:47:22
Authors: E.P.J. de Haas
Comments: 24 Pages.
This paper shows that the gravitational rotor field Qg, defined inside the Dirac algebra, provides an exact first-order linear formulation of stationary General Relativity. The field satisfies a Bernoulli—Noether transport law that acts as the linear generator of the Einstein equations. The metric, and with it curvature, lapse, and shift, emerge internally from the adjoint action of the rotor rather than from an externally imposed spacetime geometry. Explicit constructions for the Schwarzschild, Kerr, Kottler—de Sitter, FLRW, and Gödel metrics demonstrate that all stationary Einstein geometries can be derived directly from suitable rapidity profiles of Qg. The resulting line elements coincide with the familiar Painlevé—Gullstrand or Doran forms and reduce to the standard diagonal coordinates by simple transformations. In this framework, the Einstein equations appear as the second-order integrability conditions of a linear, first-order rotor transport law—exactly as the Dirac equation is the linear "square root" of the Klein—Gordon equation. Gravitation is therefore interpreted as a linear, self-organising flow within the Dirac algebra, placing General Relativity on the same algebraic foundation of linearity that underlies quantum theory.
Category: Relativity and Cosmology
[18] ai.viXra.org:2510.0072 [pdf] submitted on 2025-10-29 20:33:43
Authors: Ivars Fabriciuss
Comments: 30 Pages.
The cosmological constant problem and the nature of inertia are two of the most profound puzzles in theoretical physics. We propose a unified solution based on the elastic properties of a structured vacuum: the I 3 crystal, a Planck-scale lattice characterized by negative energy density and negative pressure. From this substrate, we derive an infrared graviton mass mg = ℏH/c2 and an inertia quantum m⋆ = ℏH/(2πc2), related by mg = 2πm⋆. The framework provides a mechanical explanation for inertia, gravitation, and cosmic acceleration without fine-tuning, and offers testable predictions for gravitational wave dispersion and dark energy evolution.
Category: Relativity and Cosmology
[17] ai.viXra.org:2510.0071 [pdf] submitted on 2025-10-29 20:31:55
Authors: Sara Gomez Riol
Comments: 13 Pages.
The Hubble tension ($H_0^{m local} = 73.0 pm 1.0$ km/s/Mpc vs $H_0^{m CMB} = 67.4 pm 0.5$) and the S$_8$ discrepancy ($0.83$ predicted by $Lambda$CDM vs $0.76 pm 0.01$ observed) challenge the standard cosmological model. We introduce the Finite Flows Theory (TFF), a framework derived from three minimal axioms where time is a fundamental discrete field $phi_t$ with geometric signature $gamma = 3/(8pi)$ emerging from 3D dimensional stability. The master equation and Induced Flows Lagrangian (LFI) are derived step-by-step from these axioms (Appendix B). Using DESI DR2 BAO measurements, TFF fits the data with $chi^2 = 4.18$ (vs $Lambda$CDM's $4.00$), achieving a Bayes factor $sim 2.3 times 10^{10}$ by naturally reconciling local $H_0$ with Planck $Omega_m = 0.315 pm 0.007$ and predicting $S_8 = 0.762$ that resolves the observed tension. Sensitivity analysis (Appendix C) confirms robustness, with Bayes factor $>10^5$ under weak priors. 2D and 3D simulations verify emergent fermion spin ($s=1/2$ via $pi$ periodicity), topological repulsion ($E_{m int} approx 0.001 E_P$, comparable to Pauli potential in superfluids), and $gamma approx 0.119$ from the Fourier spectrum. Vacuum energy is derived as $ho_{m vac} = frac{3}{8pi} frac{H^2}{G} c^2$ (Appendix B), self-regularizing divergences. Falsifiable predictions include $w(z=1) = -0.97$ (Euclid 2026), LHC diphoton resonances $sim 1.2$ TeV, and Mercury precession anomaly $+0.002''$/century (BepiColombo). TFF unifies tensions from first principles without ad hoc parameters, with fully reproducible code in Appendix A.
Category: Relativity and Cosmology
[16] ai.viXra.org:2510.0068 [pdf] submitted on 2025-10-28 20:06:25
Authors: Antonios Stefanou
Comments: 12 Pages.
Rapidity Curvature: A New Lorentz-Invariant Scalar in Special RelativityWe introduce a new Lorentz-invariant scalar in special relativity, the rapidity curvature (ho), which quantifies the local rate of change of rapidity along a timelike worldline. The scalar is defined via the hyperbolic angle between neighboring 4-velocities and provides a coordinate-independent measure of non-inertial motion. The instantaneous rapidity curvature ho(tau) is shown to be equivalent to the magnitude of the proper acceleration, sqrt{a^{mu}a_{mu}}, in the differential limit. We rigorously prove its Lorentz invariance, derive its series expansion in terms of proper acceleration, 4-jerk, and higher derivatives, and provide its geometric interpretation as the curvature of the worldline on the velocity hyperboloid. Examples including uniform acceleration and circular motion are provided to illustrate its physical utility. We also outline its covariant generalization to curved spacetime using parallel transport and introduce a variational formulation based on the action S_{ho}=intho~dtau, highlighting its theoretical relevance in relativistic physics and suggesting new avenues for studying accelerated trajectories in both flat and curved spacetimes.
Category: Relativity and Cosmology
[15] ai.viXra.org:2510.0065 [pdf] submitted on 2025-10-27 20:52:39
Authors: Jason Horsepool
Comments: 24 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
I propose a new framework that is founded on defining a zero-sum universe composed of Positive Energy and a dynamic, anti-symmetric Negative Energy/Spacetime Current. The model hopes to resolve the Cosmological Constant Problem by defining observed Dark Energy as the persistent residual tension required for dynamic stability. Crucially, the framework Falsifiable predictions involve the Horsepool Repulsion Signature (an outward radial accelerationin cosmic voids), And Non-NewtonianDeviation in Cluster Cores. There is also The Antrion experiment which is a small, cheap, definitive test that can be run in a physics lab.
Category: Relativity and Cosmology
[14] ai.viXra.org:2510.0064 [pdf] submitted on 2025-10-27 20:54:52
Authors: Arayik Danghyan
Comments: 15 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The "10^122 vacuum catastrophe" refers to the 122-orders-of-magnitude mismatch between the quantum-field-theoretical prediction of vacuum energy and the value inferred from cosmological observations. In the standard relativistic framework (STR) the Minkowski geometry is unbounded, producing an effectively infinite phase-space volume and thus divergent zero-point energy. STR-2 (Special Theory of Relativity-2) introduces an inverse-elliptic compactification of momentum-energy space. This finite geometry regularizes the vacuum spectrum through a curvature parameter B = ℓP^2 /R0^2 , yielding a small but finite cosmological constant Λ = 3/R0^2 and vacuum-energy density ρΛ = 3c^4 /(8πGR0^2). For R0 ≈ 1.3 × 10^26 m one obtains ρΛ ≈ 5.6 × 10^−10 J/m^3 and Λ ≈ 1.8 × 10^−52 m^−2. Thus, the 10^122 gap disappears not by fine-tuning but as a direct geometric consequence of STR-2.
Category: Relativity and Cosmology
[13] ai.viXra.org:2510.0061 [pdf] submitted on 2025-10-25 23:11:20
Authors: Xylo Xi
Comments: 5 Pages.
In this concluding part of the "Beyond the Horizon" trilogy, we present a refined and ghost-free formulation of the curvature-driven VSL cosmogenesis model introduced in Parts I—II. At a heuristic level, those works proposed that the Kretschmann scalar K controls the suppression c → 0 near black-hole horizons. Here we make that link explicit through a Lagrangian framework. While a direct phi*K coupling captures the essential idea, it introduces higher-derivative ghosts. To resolve this, we adopt a stable scalar—Gauss—Bonnet interaction, L = (1/16πG)R — (1/2)(∇phi)^2 — V(phi) + f(phi)G, which preserves the same horizon-peaking behavior while avoiding pathologies. In vacuum, G = K, ensuring the desired curvature response; in accreting systems, G also couples to matter via the Ricci tensor, maintaining sensitivity to infalling mass. Collapse then halts within a finite-thickness region where c → 0, the entropy density s ∝ c^3 vanishes, and geometric inversion maps the horizon to a cosmological Big Bang. The resulting "boundary engine" offers a stable Lagrangian foundation for the curvature-driven cosmogenesis picture developed across the trilogy.
Category: Relativity and Cosmology
[12] ai.viXra.org:2510.0059 [pdf] replaced on 2025-11-07 00:54:03
Authors: Ignacio Lesta Pelayo
Comments: 4 Pages. (Note by ai.viXra.org Admin: For the last time, please cite and list scientific references)
We propose that dark energy is not an independent entity, but the cosmological manifestation of a dual physical reality: the dynamic expansion of the vacuum. Within this framework, the vacuum behaves as an active medium with a self-sustaining expansive dynamics. This continuous and fundamental process acts as the geometric cause of the universe’s accelerated expansion. Thus, vacuum expansion and gravity are conceived as complementary manifestations of a single principle. Their dual interaction explains the structure and evolution of the cosmos with ontological economy, without the need to postulate new particles or additional fields beyond General Relativity.
Category: Relativity and Cosmology
[11] ai.viXra.org:2510.0054 [pdf] submitted on 2025-10-23 14:55:55
Authors: Ivars Fabriciuss
Comments: 17 Pages.
We present an information-theoretic framework unifying inertia and cosmic acceleration through horizon thermodynamics. The stretched horizon is quantized into Planck tiles with digital capacity. Causal compaction drives the system to a fixed point with saturated fraction fu2081 = ln 2, directly predicting Ω_Λ = ln 2 ≈ 0.693 - matching Planck/DESI observations within 1%. Inertial mass emerges from Landauer-erasure costs at Unruh temperature, yielding m = m_⋆N_p with m_⋆ ≈ 6.1×10u207bu2076u2079 kg. The framework predicts cosmic mass growth M ∝ R_H, resolves the cosmological constant problem, and connects particle masses to cosmic expansion history through specific anchoring epochs. All phenomena derive from a single information-dynamic principle applied consistently across scales, providing testable predictions for cosmological surveys and laboratory experiments.
Category: Relativity and Cosmology
[10] ai.viXra.org:2510.0042 [pdf] submitted on 2025-10-19 23:21:16
Authors: Bahman Masarratbakhsh
Comments: 4 Pages.
We propose the τ -Delay Field (TDF) as a gravitational theory where curvature manifests in a scalar time-delay field τ within an extended Minkowski spacetime, supplanting metric deformation in General Relativity (GR). This framework repli-cates GR’s successes in weak-field regimes while addressing cosmological tensions, including the Hubble discrepancy, galaxy rotation anomalies, and dark energy inference, without additional components. Prioritizing temporal effects aligns with observations measuring delays and shifts, such as Terrell—Penrose rotations, Shapirodelays, muon lifetimes, GPS corrections, and LIGO/Virgo/KAGRA waves. We verify mathematical consistency, derive couplings, confront tests, and provide constraints from recent data (Planck PR4, DESI, JWST, GWTC-4.0).
Category: Relativity and Cosmology
[9] ai.viXra.org:2510.0039 [pdf] submitted on 2025-10-16 16:39:21
Authors: Ivars Fabriciuss
Comments: 4 Pages.
We propose that both dark energy and inertial mass arise from information dynamics on the cosmological horizon. The stretched horizon is discretized into Planck tiles of area $4L_P^2$, each with capacity $1$ nat. Causal, capacity-limited compaction drives the system toward a digital fixed point where a fraction $f_1=ln 2$ of tiles are saturated ($1$ nat) while $f_0=1-ln 2$ are empty ($0$ nats). The saturated fraction fixes the late-time dark-energy share $Omega_{Lambda,0}=ln 2$. The empty fraction supplies vacancies that enable reversible, local updates when a particle accelerates. Mapping a particle to a tiny horizon-cap of $N_p$ tiles, a small reorientation flips only a one-tile rim. Using the Unruh temperature for an accelerated worldline~cite{Unruh1976} and Landauer's minimal energy emph{per nat}~cite{Landauer1961}, equating mechanical work to flip energy yields a universal mass-per-tile $m_star=hbarln 2/(2pi c^2),(gamma/chi)$ and the composition-blind law $m=m_star N_p$. Massless modes have $N_p=0$ and follow null geodesics; black holes form a separate regime where the relevant surface is the black-hole stretched horizon with $N_p^{m BH}propto M^2$. The framework is thermodynamically consistent, EP-friendly, and leads to quantitative scales testable by precision cosmology and inertial experiments.
Category: Relativity and Cosmology
[8] ai.viXra.org:2510.0036 [pdf] submitted on 2025-10-14 20:27:58
Authors: Martin Hristov
Comments: 2 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper proposes a physical model in which the phenomenon of inertial mass arises from a self-interaction effect. Specifically, it is suggested that the inertial resistance to acceleration is the work required to displace an object's own gravitational field. A heuristic derivation is presented, showing that this work is proportional to the object's gravitational potential, resulting in a quantity with the units of mass. This model provides an immediate physical explanation for the equivalence of inertial and gravitational mass. This heuristic argument serves as the initial, testable consequence of a broader research program aimed at a purely geometric unification of matter and spacetime. The author is seeking collaboration with researchers possessing expertise in differential geometry and general relativity to formalize this framework.Contact: M.V.Hristov@proton.me
Category: Relativity and Cosmology
[7] ai.viXra.org:2510.0033 [pdf] submitted on 2025-10-13 20:04:54
Authors: James Maguire
Comments: 5 Pages.
This paper explores a perceptual interpretation of Einstein’s Special Relativity. The Luminal Coupling Hypothesis proposes that the speed of light, c, represents not a hard physical wall but a limit of mutual observability between reference frames. A dimensionless coupling factor P(v)=sqrt{|1-v^2/c^2|} is introduced, mirroring the Lorentz factor while describing how perceptual coupling diminishes as an object approaches or exceeds c. For v
Category: Relativity and Cosmology
[6] ai.viXra.org:2510.0029 [pdf] submitted on 2025-10-11 22:34:12
Authors: Tejbir Singh Sandhu
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references and list each reference in complete and standard reference stype such as APS style)
In various fields of science, concepts such as six degrees of separation (from social network theory), game theory (from economics and biology), the Fibonacci series (from mathematics and natural patterns), and hyperbolic geometry (from nonEuclidean spaces) appear individually or in partial combinations repeatedly. Whileencountering these terms again and again across disciplines, the author pondered combining them all to explore their application to the large-scale structure of the universe.Leveraging the power of AI to correlate these disparate ideas, this exploratory framework proposes the Hyperbolic Fibonacci Game (HFG) model as a novel framework forunderstanding cosmic web formation. The AI (Grok) assisted in correlating datasets,deriving scaling relations, and identifying consistent network motifs across cosmologicaland complex-system simulations. The model embeds strategic game-theoretic interactions in a hyperbolic space, governed by Fibonacci-driven growth, yielding a networkwith small-world properties akin to six degrees of separation. A simplified simulationillustrates emergent filaments, clusters, and voids, with geometric features such as lowdegree junctions (tending toward ∼3 branches) and efficient connectivity (diameter ∼6in components). These are qualitatively compared to established cosmological simulations (e.g., IllustrisTNG and EAGLE) and real telescope data (e.g., from Euclid andJWST). Rather than supplanting existing simulations, this hypothesis aims to inspiresynergistic tweaks, highlighting how interdisciplinary mathematics might complementstandard ΛCDM cosmology in interpreting observational efficiencies like short-pathconnectivity and hierarchical merging. Potential predictions, such as Fibonacci-scaledfilament lengths and trivalent-like junctions, are offered for collaborative testing.
Category: Relativity and Cosmology
[5] ai.viXra.org:2510.0018 [pdf] submitted on 2025-10-08 18:15:02
Authors: Mohit Singhal
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper presents a novel diagnostic model designed to explore the origin of the Big Bang by evaluating whether it was driven by internal dynamics or influenced by external forces. The framework introduces two primary indices—Causal Index Prime (CIu2032) and Causal Disconnection Index (CDI)—that collectively assess internal energy, pressure, and the degree of causal connectivity. Applications to astrophysical systems, including Earth and black holes, reveal how these indices can characterize physical regimes and inform cosmological interpretations. The model is then discussed in the context of early universe uniformity and singularity, including its implications for the existence of external modulation. Case study results and visualizations are provided, and future work directions are outlined.
Category: Relativity and Cosmology
[4] ai.viXra.org:2510.0015 [pdf] submitted on 2025-10-07 18:03:50
Authors: N. J. Kettlewell
Comments: 8 Pages.
A single quadratic functional, previously shown to reproduce Newton’s law in the Solar System and flat galactic rotation curves, is extended to describe the formation and structure of galaxies, satellites, and clusters. By minimising a coherence cost functional under global constraints of total mass and angular momentum, galaxies emerge as stationary minima of the same variational principle that governs local dynamics.Exponential discs, finite outer truncations, planar satellite systems, and cluster-scale envelopes arise naturally without dark matter halos. Diversity across galaxies follows from different constraint sets, while satellite alignments and cluster sizes reflect thesame finite coherence length. Predictions are falsifiable: sharp rotation-curve cut-offs, baryonic Tully—Fisher slopes, satellite planes, and lensing shear profiles are all fixed by one universal coherence length.
Category: Relativity and Cosmology
[3] ai.viXra.org:2510.0011 [pdf] submitted on 2025-10-06 20:01:35
Authors: Bernard Lavenda
Comments: 45 Pages.
This paper presents a geometric foundation for gravitational radiation theory that challenges the conventional framework of general relativity (GR) by rejecting Ricci suppression—-the imposition of (G_{muu}=8pi T_{muu})--which erases critical curvature terms and obscures the local dynamics of radiation. We introduce Ricci Unsuppressed Gravity (RUNG), a variational approach that retains the full Riemann tensor and derives gravitational radiation from the evolution of sectional curvatures in orthogonal 2-planes. A gravitational Maxwell tensor (mathfrak{F}^{muu}) is constructed from these curvatures, yielding a conserved current (J^{mu}=abla_{u}mathfrak{F}^{muu}) that enables local detection of energy flux at finite distances, without reliance on asymptotic constructs such as null infinity ((mathscr{I}^{+})).We resolve long-standing issues including Vaidya’s static limit, the non-radiative nature of Ricci-suppressed metrics, and the artificial dichotomy between matter and radiation energy. The framework naturally incorporates monopole, dipole, and quadrupole radiation modes, and predicts a distinct phasing and energy flux scaling ((J^rproptoomega^{13/3}) adiabatically, (J^rproptoomega^7)at merger) that differs from the quadrupole formula. Results are validated against LIGO observations, demonstrating strong correlation between geometrically derived fluxes and inferred energy loss. This work unifies radiation physics within a covariant, local geometric description, offering a self-consistent alternative to phenomenological templates and asymptotic methods.
Category: Relativity and Cosmology
[2] ai.viXra.org:2510.0004 [pdf] submitted on 2025-10-02 12:14:21
Authors: Paul Caracristi
Comments: 4 Pages.
Recent reconstructions of galaxy motion and matter distribution in the observable universe have revealed the presence of two dominant large-scale anomalies: the Great Attractor and the Great Repeller (Tully et al., 2014; Hoffman et al., 2017). Traditionally interpreted through the lens of general relativity and gravitational potentials (Einstein, 1916; Misner, Thorne, & Wheeler, 1973), these phenomena can be recontextualized within a cavitational cosmological model. This model introduces gravity and levity as expressions of positive and negative spacetime curvature, respectively (Caracristi, 2021a; Caracristi, 2024a). In this paper, we present a detailed analysis of how these curvature polarities influence the large-scale dynamics of cosmic structure, treating the universe as a cavitated domain embedded in a curvature gradient field. We interpret the Great Attractor as a region of high positive curvature and the Great Repeller as a region of high negative curvature, and propose that their influence on matter flows results from intrinsic curvature gradients, not simply mass distribution. This perspective yields new insights into the interplay between structure formation and the underlying spacetime topology.
Category: Relativity and Cosmology
[1] ai.viXra.org:2510.0002 [pdf] submitted on 2025-10-02 20:14:55
Authors: N. J. Kettlewell
Comments: 4 Pages. (Note by ai.viXra.org Admin: The correct citation of previous work is: ai.viXra.org: 2509.0058; please cite listed scientific references)
We present the Solar-System predictions of Phase-Biased Geometry (PBG). From a quadratic action with three constants (α,β,γ), we derive the invariants c, ℏ, and the coherence length ℓ⋆. Using canonical Hamiltonian methods, we obtain the rest-energy relation E= mc2 as an identity. The coherence kernel reduces to 1/r on Solar-System scales. With a single source normalisation, PBG reproduces Mercury’s perihelion precession, solar light bending, Shapiro delay, and gravitational redshift. These results arise from coherence gradients; spacetime curvature appears only as an effective description.
Category: Relativity and Cosmology