Abstract: We present a mathematically rigorous formulation of the Fundamental Speed Theory (FST), a vector-tensor theory of gravity featuring a dimensionless vector field νᵐ. The theory introduces characteristic scales M₀ = ħ/(cL₀) and L₀ = 10 kpc to ensure complete dimensional consistency, with explicit inclusion of ħ and c in all physical expressions. Galactic dynamics obeyd²ν̃/dξ² + (2/ξ) dν̃/dξ = β_eff ν̃³where ξ = r/L₀ and β_eff = (λν₀²)/(6c₁) = 2.0×10⁷.We perform a hierarchical validation at three distinct levels of parameter freedom: • Level 3 (Zero Free Parameters): Fixed M = 1.0×10¹⁰ M⊙ and r_d = 3.0 kpc for all 175 galaxies. Even with no galaxy-specific parameters, FST correctly describes 65.7% of galaxies with mean χ²_ν = 0.809. • Level 2 (Estimated Parameters): Mass and scale length estimated from scaling relations (no fitting). Success rate reaches 93.6% with mean χ²_ν = 0.347 for the 160 galaxies with χ²_ν < 3.0. • Level 1 (Fully Fitted): Mass and scale length fitted per galaxy. Success rate reaches 100% with mean χ²_ν = 0.170.This hierarchical validation demonstrates that FST captures the essential physics of galactic rotation without overfitting. The theory achieves a mean reduced chi-squared of ⟨χ²_ν⟩ = 0.170 across all 171 SPARC galaxies, with 91.2% of galaxies having χ²_ν < 0.5 (excellent fit) and only 1.8% (three galaxies) having χ²_ν > 1.0. The characteristic transition scale is ξ_c = √(2/β_eff) = 3.16×10⁻⁴, corresponding to a fundamental scale r_c = ξ_c L₀ ≈ 3.16 pc.Remarkably, we discover that all five field parameters (c₁, c₂, c₃, λ, ν₀) unify into a single fundamental acceleration scale:A₀ = (c₁ + c₃) ν₀² c² / L₀ = 2.42 × 10⁻¹⁰ m/s²This unified parameter reproduces the full 5-parameter theory identically for all 171 galaxies, demonstrating that FST is fundamentally a one-parameter theory.Cluster analysis reveals three distinct dynamical families of galaxies. Solar System constraints are satisfied through the galactic field gradient, with the local FST acceleration at Earth being ~8×10⁻¹⁵ of Newtonian acceleration—more than 100,000 times below current observational limits. Complete mathematical derivation and an open-source implementation ensure full reproducibility. Extension to cosmological scales is planned for future work.

Abstract: We present a systematic study of giant pulses (GPs) from the Crab pulsar (PSR J0534+2200) using ultra-wideband observations with the Parkes radio telescope. We introduce an empirical classification scheme based on the cumulative distribution function (CDF) of pulse energy in frequency, separating the detected events into narrow-band and broadband GPs, with the former dominating the present sample. The narrow-band events concentrate most of their energy within limited frequency ranges, whereas broadband events show more extended spectral coverage. Spectral fitting shows that most narrow-band GPs have negative spectral indices, while a few events exhibit positive slopes, indicating substantial spectral diversity within the sample. The 3σ widths of narrow-band main pulse GPs appear to cluster around two characteristic ranges, although this feature should be interpreted with caution given the time resolution of the data. The energy distribution of narrow-band main pulse GPs is broadly consistent with a log-normal form at low-to-intermediate energies and a power-law-like tail at the high-energy end. The waiting-time distribution can be described by a Weibull function, while a sliding-window comparison with Monte Carlo Poisson realizations shows no statistically significant deviation from temporal independence over the present 18.9-minute observing span. These results provide observational constraints on the phenomenology of Crab giant pulses and may be useful for future studies of pulsar coherent emission and related radio transients.

Abstract: We present a complete and rigorous derivation of the relation between the fundamental speed field \( \nu^\mu \) in the Fundamental Speed Theory (FST) and the fabric of spacetime \( g_{\mu\nu} \). Starting from the full FST Lagrangian, we compute the energy-momentum tensor \( T_{\mu\nu}^{(V)} \) step by step, then use the Einstein field equations to derive an equation relating spacetime curvature to gradients of the field. We prove that the metric \( g_{\mu\nu} \) is not a separate background but a function of the field \( \nu \) and its derivatives. We then provide a physical interpretation of the asymptotic field value \( \nu_0 = 10^{-3} \). We show that \( \nu_0 \) is the ratio of the characteristic FST velocity \( v_{\text{char}} \) = \( \sqrt{A_0 L_0} = 273.3 \) km/s to the speed of light c:\( \nu_0 = \frac{v_{\text{char}}}{c} = \frac{273.3 \text{ km/s}}{3 \times 10^5 \text{ km/s}} \approx 9.11 \times 10^{-4} \approx 10^{-3}.\ \) Finally, we demonstrate that the derivation of \( g_{\mu\nu} \) from \( \nu^\mu \) inherently preserves the natural screening mechanism of FST. In high-density environments (where |\( \nabla \nu| \gg A_0/c^2\ \)), the non-linear kinetic terms dominate, recovering the standard Schwarzschild geometry. The FST corrections only become non-negligible in the deep-MONDian regime, where the vacuum floor \( \nu_0 \) defines the curvature scale. Note on the derivation of the metric-field relation: The derivation presented here is valid in the weak-field linearized approximation. The extension to the full non-linear regime requires numerical relativity techniques and is left for future work.

Abstract: We derive an effective gravitational potential \( Φ_{halo} (r)∼-[ln⁡( r/r_*)+1]/r \) from the asymptotic behavior of dark matter halo models. At microscopic scales, the logarithmic term changes sign, producing repulsion that prevents matter from collapsing into a singularity. The corresponding logarithmically corrected Schwarzschild metric yields parameter-free, a priori predictions for the shadows of Sgr A* and M87* that agree with Event Horizon Telescope observations. Six falsifiable predictions for unobserved black holes, particularly NGC315, can discriminate this metric from the Kerr solution; we also make falsifiable predictions for the periastron precession of stars S4711 and S4716 based on the same framework (Appendix D). On galactic scales, the same logarithmic term fits rotation curves of the Milky Way, Andromeda, and NGC2974 using only ordinary matter, and passes the Bullet Cluster lensing test. Tidal effects in the Solar System are far below current experimental limits, ensuring consistency with the equivalence principle and parameterized post-Newtonian tests. We further derive the modified field equations via coarse-grained variation (Appendix B) from the effective action of a quantum vortex background, thus providing a more complete theoretical bridge to the modified Poisson equation and metric used in the main text. This effective theoretical framework indicates that various gravitational phenomena from black holes to galaxies may share a common quantum topological origin. It provides a unified, testable alternative to the dark matter problem, and also points out a potential path for the observable detection of quantum gravity effects.

Abstract: The long‑term evolution of the Earth–Moon system is traditionally attributed to tidal friction, which transfers angular momentum from Earth’s rotation to the Moon’s orbit. Present‑day measurements show that Earth’s rotational angular‑momentum loss closely matches the Moon’s orbital gain, consistent with this framework. However, deep‑time constraints from fossil growth increments and tidal rhythmites reveal a persistent and significant mismatch between these two quantities over the past 3.2 billion years. At 900 million years ago, Earth’s rotational angular‑momentum loss exceeded the Moon’s orbital gain by ~40 %, and at 3.2 billion years ago, by nearly a factor of three. These discrepancies cannot be reconciled by classical tidal friction, even when accounting for solar tides, ocean‑basin evolution, atmospheric tides, or core–mantle coupling. The Earth exhibited significantly greater flattening in the past than it does today and is projected to approach a near-spherical configuration in approximately 3 billion years. Using empirically fitted histories of the length of day (LOD), number of days per year (DOY), and Earth–Moon distance (DOM), I show that the angular‑momentum imbalance is robust and increases exponentially backward in time. The Dark Matter Field Fluid (DMFF) model provides a natural explanation: Earth loses rotational angular momentum to a pervasive dark‑matter‑like medium, while the Moon’s orbital evolution is driven by DMFF drag and anti‑gravitational effects. The DMFF‑derived equations for LOD, DOY, and DOM match both modern astronomical measurements and deep‑time geological records, including the critical LOD and DOM constraints at 3.2 billion years ago. The angular‑momentum discrepancy is therefore not a flaw in the data but a signature of DMFF physics, revealing a deeper dynamical structure of the Earth–Moon system.

Abstract: Understanding the growth of supermassive black holes (SMBHs) requires observational constraints on how their angular momentum – or spin – varies with mass, since the relative importance of coherent accretion, chaotic accretion, and mergers will be reflected in SMBH spin populations. Here we present an updated compilation of reflection-based SMBH spin measurements from the literature and assemble a set of ancillary quantities of interest for each SMBH (including redshift, Eddington ratio, and X-ray luminosity). We find no obvious correlation between the Eddington ratio and the reflection-inferred spin in the sample. We discuss the limitations of using this heterogeneous mass–spin sample to test predictions of SMBH growth from semi-analytic models and cosmological simulations, emphasizing the need for a more uniform sample. We then highlight the encouraging prospects enabled by the next-generation NewAthena X-ray flagship observatory. Finally, we summarize how hierarchical Bayesian population inference applied to observed SMBH mass–spin populations will constitute a powerful framework for confirming tentative mass–spin trends in future samples.

Abstract: This work analyses 164 galactic rotation curves from the SPARC database and develops a field-based interpretation of the dark matter effect within the framework of the Universal Quantum Foam Hypothesis (UQSH). The empirical excess term C(r) = v²_obs(r) - v²_bar(r) reveals, after normalisation, a consistent structure of preferred dynamical regimes. 1 Global fits identify two dominant states: a peak regime with scale parameter q ≈ 0.5–1.0, encompassing mainly low-surface-brightness galaxies and dwarf galaxies, and a diffuse regime with q ≈ 3.0, dominated by more massive spiral galaxies. Individual fits yield a distribution of roughly 62% peak systems, 26% diffuse systems, and 12% in the transition zone. An analysis of the dynamic factor D = g_obs/g_bar as a function of the maximum rotation curve radius reveals a statistically significant negative correlation (r = -0.31, p = 0.0001). Beyond approximately 50–80 kpc, D converges systematically toward 1. This empirical instability boundary marks the spatial range within which coherent field organisation produces measurable amplification. In the UQSH, light is interpreted as a spherically propagating tension front that follows the accumulated field geometry. In this picture, the convergence κ does not measure the instantaneous mass density, but the projected field curvature. A UQSH model of the Bullet Cluster reproduces the characteristic order of magnitude of the offsets between gas centres and κ-peaks of 219 kpc and 228 kpc without requiring an additional non-baryonic matter component. In the UQSH, the dark matter effect is not a sign of missing particles but an intrinsic property of the field medium. Baryonic structures are stable field configurations that spatially pre-stress the field medium. Through continuous radiation they excite the field and generate persistent deformations that do not fully relax. The nonlinear superposition of these three sources — bound baryonic mass, continuous radiation, and the accumulated field pre-stress — produces a large-scale field tension that appears observationally as the dark matter effect. On galactic scales, the empirical instability boundary at approximately 50–80 kpc sets a natural spatial limit on this field tension. In galaxy clusters, the individual contributions of many saturated structures superpose into a collective field tension that systematically raises the lensing signal above the baryonic expectation. The universal fits show high internal consistency within each regime, with mean squared errors of MSE ≈ 0.016 in the peak regime and MSE ≈ 0.06–0.13 in the diffuse regime. This universality stands in contrast to the expectation from continuous halo models and supports the field-based interpretation of preferred dynamical states.

Abstract: The cislunar space, governed by the circular restricted three-body problem (CR3BP), presents significant challenges for mission design due to its complex stability structure. Traditional high-fidelity numerical integration is computationally prohibitive for a systematic stability census of millions of orbits. Here, we present a novel approach based on global volunteer computing via the BOINC platform to overcome this barrier. Using the public "Million Orbit" dataset from Lawrence Livermore National Laboratory, we distributed the computation of Jacobi constant time series across thousands of volunteer devices, producing over 16 billion individual values. The resulting dataset is freely available. Analysis reveals that 91.68% of orbits belong to the high-energy Region V, 8.07% to the stable Region I, and only 0.24% to Region III, with Region II completely absent. A single rare Region IV orbit (ID 754482) was identified and analyzed. This work demonstrates the transformative potential of volunteer computing for large-scale astrodynamics research, providing a detailed stability map and a benchmark for future machine-learning applications.

Abstract: We report a statistically significant detection of dihedral D₃ symmetry in the Planck PR3 temperature anisotropy data, validated across all four independent component-separation pipelines (SMICA, NILC, SEVEM, Commander). At a single optimized axis (ℓ, b) = (50.3◦, −64.9◦), the power fraction in the A₂ (reflection-antisymmetric) irreducible representation exceeds isotropic expectations with a two-tier structure: a dense cluster at l ≤ 15 (Fisher PTE = 4.2 × 10⁻³ to 1.2 × 10⁻² across maps), driven by three multipoles significant in all four pipelines, with l = 3 serving as the axis-registration multipole (f_A2 = 0.94, z > 4.4) and l = 7 and l = 9 providing independent corroboration at the fixed axis, plus sporadic cross-map-validated recurrences at higher multipoles—notably l = 34 (significant in 3/4 maps) and l = 63 (3/4 maps). The A₂ excess draws power specifically from the E (rotation-doublet) irrep with anti-correlation r = −0.81, while the A₁ (trivial) irrep is decoupled. Extension to lmax = 150 with NMC = 10,000 simulations shows that the aggregate high-l Fisher PTE is consistent with isotropy (PTE > 0.91), but individual multipoles punctuate this null background. Among the nine strongest cross-map-consistent peaks, none belongs to the l ≡ 2 (mod 3) residue class (p ≈ 0.02 under uniformity), consistent with the C₃ selection rule. Cross-map correlations of f_A2 (l) exceed r = 0.93 for all pipeline pairs (SMICA–NILC: r = 0.997), ruling out component-separation artifacts. A null test on E-mode polarization at the same axis returns Fisher PTE = 0.70, confirming that the signal is confined to the temperature channel as expected. The irrep redistribution is sharply parity-gated: all four maps confine the A2 collecting signal to odd-l multipoles (Fisher p ≤ 2 × 10⁻⁴), with even-l entirely null (p > 0.97). Crossing parity with residue class produces a six-cell grammar dominated by a single cell (odd, l ≡ 0 (mod 3)), with step-function onset at l = 3. Singular-value decomposition reveals that this 2 × 3 grammar admits an approximate rank-1 factorization into a binary parity selector and a D₃ residue routing vector, recovered independently by all four pipelines (rank-1 fraction > 94% in three of four maps). The binary gate acts on irrep redistribution, not on total power: a parity split of raw Cl is null (PTE > 0.61) in every map. The signal morphology—dense at large angular scales with isolated resonances at smaller scales—is consistent with a parity-gated boundary condition on the acoustic eigenvalue problem whose geometry is fully resolved only at l ≲ 15 (θ ≳ 12◦). No physical model parameters are fit; the single directional degree of freedom (axis orientation) is determined from the octupole alone and then frozen. Note added in v2: Extended validation tests (Appendices B–E) confirm that the signal replicates in the WMAP 9-year ILC map (Fisher PTE = 0.0025), is uniquely selected among dihedral groups D₃–D₆, is frequency-independent across Planck HFI channels (100–143 GHz ∆ f_A2 correlation r = 0.976; 353 GHz dust tracer null and anti-correlated), and is robust across 13 mask levels (PTE improves under the UT78 mask from 0.008 to 0.005).

Abstract: We propose a fundamental paradigm in which the vacuum is not empty but a discrete quantum state of a dynamical scalar field, the meta-field Φ. Drawing an analogy with the quantized energy levels of the hydrogen atom, this framework posits the existence of multiple vacuum tiers—discrete, stable configurations of Φ labeled by a quantum number n—each characterized by tier-specific values of fundamental dimensional constants. The speed of light in vacuum c and the Planck constant h become emergent properties of the vacuum state, varying reciprocally across tiers as cₙ = c₀ e^{{-α(n−30)}} and hₙ = h₀ e^{{+α(n−30)}} with α ≈ 0.01, while the fine-structure constant α_EM and the vacuum permittivity ε₀ remain strictly constant. The theory is grounded in a covariant action principle where c(Φ) couples directly to gravity: c⁴(Φ) / 16πG R. This hydrogen-like structure naturally resolves major cosmological puzzles: the large vacuum energy in high-energy tiers drives a period of inflation and solves the horizon problem; tier transitions provide a mechanism for instantaneous reheating at the GUT scale; and the slow evolution toward higher tiers in the current epoch explains dark energy while naturally resolving the Hubble tension. Furthermore, we demonstrate that the extreme geometry near rapidly spinning Kerr black holes acts as a catalytic gateway between tiers, enhancing transition probabilities within a defined resonance zone (r_H < r ≲ 1.5M) by a factor ~10⁴, yielding a transition probability P_Fe ~ 10⁻⁵ per iron nucleus. This leads to specific, falsifiable predictions across multiple independent channels: an anomalous energy-dependent composition of Ultra-High Energy Cosmic Rays (UHECRs) exclusively from spinning black holes; a quasi-monochromatic GUT-line in gamma-ray spectra (including radiation emitted during the tunneling process itself); point-source anti-nuclei fluxes; a high-frequency stochastic gravitational wave background; and measurable deviations in cosmological distance measures. The framework renders the multiverse concept testable, transforming black holes from endpoints of collapse into fundamental connectors in a tiered cosmic architecture.

Abstract: The investigation into the effects of wind and radiation pressures emitted by OB-type stars on star-forming molecular clouds constitutes a crucial area of research within astrophysics. As OB stars expel mass and release radiative energy, they exert pressure on nearby molecular clouds. This paper explores the impact of both wind and radiation pressure from OB stars on molecular clouds, examining how these forces influence the critical mass of the clouds in question. The approach taken involves a theoretical or mathematical framework, complemented by numerical analysis that utilizes a range of parameters associated with OB stars and molecular clouds. The findings indicate that an increase in wind and radiation pressure from OB stars leads to a reduction in the critical mass of the molecular cloud. This suggests that these pressures can have a dual effect, either dispersing or compressing the molecular cloud they affect. Furthermore, it was determined that the combined influence of wind and radiation pressure is more pronounced than the effects of either force acting independently, with radiation pressure demonstrating a somewhat greater impact than wind pressure based on the results obtained.

Abstract: In cluster-merger analyses, the dominant gravitating component is often modeled as effectively history-independent after several dynamical times, even if the gas retains thermodynamic signatures of past perturbations. Recent weak-lensing work by HyeongHan et al. (2025) complicates that expectation for the Perseus Cluster by reporting a massive sub-halo, centered on NGC 1264, and a connecting mass bridge in a cool-core system long treated as a benchmark relaxed cluster. Perseus is already known from X-ray studies to host large-scale sloshing and an ancient cold front that preserve evidence of past perturbation on Gyr (gigayear) timescales. Taken together, these results motivate a re-examination of how merger history can remain observationally relevant in nominally relaxed clusters. This paper advances a deliberately modest claim. Rather than treating Perseus as a standalone falsification of ΛCDM or of conventional hydrodynamical explanations, this paper treats it as an especially informative case in which a remnant stress-energy interpretation becomes interesting enough to warrant further study. In this interpretation, long-lived gravitational structure is represented phenomenologically by a coarse-grained remnant stress-energy TμνRem, motivated by a covariant closure construction. The principal contribution of the paper is a falsifiable observational program rather than a claim of proof. After controlling for instantaneous merger parameters, residual lensing-gas centroid offsets in nominally relaxed clusters should correlate with independent merger-history proxies if such remnants are physically relevant. Existing lensing and X-ray archives already permit a pilot test, while upcoming wide-field surveys can extend the sample.

Abstract: BL Lac objects are active galactic nuclei notable for beamed nonthermal radiation, which is generated in one of the relativistic jets forming a small angle to our line-of-sight. The broadband spectra of BL Lacs show a two-component spectral energy distribution (SED). High-energy-peaked BL Lacs (HBLs) exhibit their lower-energy (synchrotron) peaks at UV to X-ray frequencies. Consequently, these objects are generally bright in the 0.3-10 keV bands (compared to other blazar subclasses) and allow us to carry out intense timing and spectral studies on the wide range of timescales (from years down to a few minutes). Although x-ray emission of HBLs is widely accepted to have a synchrotron origin, many problems associated with the jet particle content, their acceleration up to ultrarelativistic energies, and unstable mechanisms responsible for the extreme flux and spectral variability still remain to be solved. This review highlights the basic timing and spectral results obtained in the framework of the numerous timing and spectral studies of HBLs in the 0.3-10 keV band which is covered by the X-ray instruments operating onboard the different space missions. Moreover, the plausible physical processes ot be responsible for the observed HBL features (relativistic shocks, magnetic reconnection, turbulence etc.) are also addressed.

Abstract: A number of approaches to a theory of quantum gravity assume the cosmological fabric of spacetime is distinct from the spacetime of the material world of matter and energy. On a short time scale, one cannot distinguish between the fabric of spacetime expanding, nominally due to dark energy, or the scale of the material world contracting with respect to the fabric of spacetime. Contraction of the scale of the material world (length, time, mass, and charge contracting equally) maintains observable physical laws and results in a decreasing derived dark energy density matching that reported by the DESI Collaboration in March 2025. The DESI Collaboration fits to the dark energy density over time show a distinct difference between those using scale-dependent supernovae data and those using mostly scale-independent angular measurements, such as from CMB and BAO measurements. That difference is resolved by applying a scale contraction rate of ~3%/Gyr to the supernovae data. Scale contraction of the material world eliminates the need for dark energy to explain the apparent expansion of space, resolving the ~10^122 discrepancy between the dark energy density required to match observation and that calculated for the vacuum energy as the mechanism for dark energy. The large force of the vacuum energy is a potential mechanism for compression of the material world, and would explain why the observed expansion only occurs outside of gravitationally bound systems. A scale-contraction model for cosmological kinematics explains why the dark energy density appears to be decreasing without requiring the underlying vacuum energy to be changing with time. Scale contraction of the material world predicts the observed directions and order of magnitude of the Hubble tension and the S8 tension, which has been a challenge to other proposed modifications of Lambda-CDM since those two tensions have opposite trends over time, the Hubble constant being about 10% larger in the late universe compared to the early universe, and the structure constant, S8, about 10% smaller. Scale contraction of the material world can be tested by modifying the Lambda-CDM cosmological model to include scale contraction over time, and assessing if the Hubble, S8, and other tensions are quantitatively reduced or resolved.

Abstract: The old Le Sage’s hypothesis on the corpuscular origin of gravity is revisited. The discussion is developed along three lines: the "modern" wave approach, a "mass–flux" model of a relativistic fluid, and the traditional corpuscular model. The predictions obtained in all the three approaches are convergent with other current attempts. The main outcomes are the emergence of a maximal gravitational acceleration – compatible with the surface gravity of neutron stars – and the absence of gravitational field divergences for arbitrarily large or collapsed masses. The resulting theory differs from classical Newtonian gravity in its much clearer separation between the concepts of heavy mass and inert mass, a distinctive characteristic of the Le Sage-type (or “shadow gravity” or “Push–Gravity” (PG)) theories. The price to pay is the abandonment of the equivalence principle in its weak form, which might no longer be considered rigorously valid. We will only touch on the issue of experimental verification, which remains very difficult: the simple test we propose here is a rough estimate of gravity at the Earth’s equator and poles using PG theory, which indicates only qualitative agreement with experimental data. In this version, the section “XVII. NEWTONIAN VS RELATIVISTIC EFFECTS OF GRAVITY” has been added and small changes have been made here and there to the text and the bibliography. Finally, a cosmological speculation based on Le Sage’s idea is sketched, which is discussed at a preliminary and tentative level.

Abstract: Background: Persistent cosmological tensions — particularly in the Hubble constant (H0) — motivate physically grounded alternatives to ΛCDM. We propose the Gibbs En ergy Redistribution Theory (GERT): a thermodynamic framework in which matter- and Λ-like contributions are promoted to density-controlled functions derived from the Gibbs free energy criterion. GERT interprets dark components as emergent manifestations of a single Primordial Enthalpic Reservoir, without new fields or fine-tuning. Methods: The dynamical H(z) is obtained by promoting FLRW source terms to ther modynamic functions fM(ρ) and fL(ρ), calibrated via MCMC against CMB, BAO, and Type Ia supernova data. Model complexity is reduced from 12 to 2 free parameters through thermodynamic priors. Results: The two-parameter implementation achieves χ2/dof ≈ 0.99 and infers H0 ≈ 72.5 kms−1Mpc−1, consistent with local distance-ladder determinations. GERT outper forms ΛCDM on WAIC and AIC. Companion papers (I–XIII) extend the framework to gravitational waves, galactic dynamics across 191 galaxies with zero free parameters, baryogenesis, and the proto-quantum frontier. Conclusions: GERT provides a thermodynamically causal account of cosmic evolution. The frozen parameter set constitutes a quantitative prediction accessible to future low redshift probes.

Abstract: Background: The Gibbs Energy Redistribution Theory (GERT) replaces dark matter and dark energy with thermodynamic functions of local density, derived from the Gibbs free energy criterion. Paper VI established a zero-parameter local extension validated on six SPARC galaxies, six clusters, and the Baryonic Tully-Fisher Relation, calibrated solely against CMB, BAO, and Type Ia data. Methods: We apply the identical GERT v0.4 equation — without modification — to the complete SPARC database: 175 late-type (LTG) and 16 early-type galaxies (ETG), spanning 107–1011 M⊙ across all morphological types. Results: GERT improves over Newtonian baryons in 165/175 LTGs (94.3%) and all 16 ETGs (100%). Across 3423 data points, RAR scatter falls from 0.308 to 0.212 dex (−31.4%) with zero free parameters. The 7% offset between aGERT = cH0/2π and Milgrom’s a0 is a quantitative target for the forthcoming pre-relativistic extension. Conclusions: A single thermodynamic equation, calibrated against cosmological probes alone, predicts galactic rotation curves across all morphologies, supporting a thermody namic bridge from cosmic to galactic scales.

Abstract: Based on highly accurate measurements of the Earth’s radius at various times, it is assumed that it is approximately constant in numerical terms. However, little attention has been paid to the scale drift observed in these measurements. The drift rate found is of the same order of magnitude as the rate of cosmological expansion, which may have important implications for geophysics and cosmology.

Abstract: We formulate the Quantum Information Copy Time (QICT) framework for conserved charges under strictly local quantum dynamics and isolate its logically strongest consequence. The theorem-level core is a receiver-optimised variational speed-limit inequality: after projection away from the conserved zero mode, the copy time is bounded from below by the inverse square root of a Liouvillian-squared receiver susceptibility times a local encoding seminorm. This statement is written in a finite-volume operator framework and does not require a diffusive ansatz. We then examine what follows only after additional infrared assumptions. Under a single diffusive slow-mode hypothesis, the variational inequality reduces to the practical scaling relation used in the benchmark computations. That reduction is treated as conditional and is stress-tested numerically rather than promoted by rhetoric. Within the anomaly-free Abelian span relevant for one Standard-Model-like generation, hypercharge selection is elevated to theorem-level status; by contrast, minimal gauge-algebra uniqueness remains explicitly conditional on additional model-selection axioms. The remainder of the manuscript is organised as a documented closure programme built on top of this core. In that closure, a gauge-coded QCA construction, a microscopic benchmark for the transport normalisation, and an electroweak matching convention are combined to produce a resonance-centred Higgs-portal singlet-scalar mass band together with direct-detection, invisible-width, and relic-consistency checks. These latter results are presented as model-dependent consequences of an explicit closure ansatz, not as deductions from locality alone.

Abstract: The equation for the function F(T) within the teleparallel gravity with torsion field T which provides the exponential scale factor is obtained and the function F(T) was computed. It is shown that the deceleration parameter q₀ ≈ -0.535 according to the Planck data at the current epoch, can not be realized for cosmology based on the exponential scale factor. Therefore, models of cosmology based on the exponential scale factor (studied in many papers) is ruled out. In the framework of entropic cosmology, the associated entropy was found.