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Article
Physical Sciences
Acoustics

Haozhen Wen

,

Yuan Qin

,

Yang Yang

,

WenQing Yan

Abstract: Passaggio is a natural physiological phenomenon during vocal register transitions in singing, with its pitch location varying across individuals. Conventional identification methods rely on auditory judgment or voice type classification, which are inaccurate due to individual differences. In this study, a laser doppler vibrometer (LDV) and an acoustic microphone set were used to synchronously measure laryngeal surface vibration and singing voice,in order to systematically investigate singing passaggio behavior. The data indicate a stable fundamental frequency correspondence between the laryngeal vibration signal and the acoustic signal, which supports the use of amplitude ratios of low-order harmonic peaks in the laryngeal vibration spectrum as relative indicators of structural changes in laryngeal vibration. The result shows that male and female singers exhibit distinct patterns of structural change in laryngeal vibration during passaggio, while consistent patterns are observed within the same sex. For individuals, clear structural transitions in laryngeal vibration are observed at the pitch of passaggio, providing a basis for accurate identification of individual singing passaggio.

Article
Physical Sciences
Quantum Science and Technology

Jussi Lindgren

Abstract: The Stueckelberg wave equation is solved for unitary solutions, which links the eigenvalues of the Hamiltonian directly to the oscillation frequency. As it has been showed previously that this PDE relates to the Dirac operator, and on the other hand it is a linearized Hamilton-Jacobi-Bellman PDE, from which the Schrödinger equation can be deduced in a nonrelativistic limit, it is clear that it is the key equation in relativistic quantum mechanics. We give a stationary solution for the quantum telegraph equation and a Bayesian interpretation for the measurement problem. The stationary solution is understood as a maximum entropy prior distribution and measurement is understood as Bayesian update. We discuss the interpretation of the single electron experiments in the light of finite speed propagation of the transition probability field and how it relates the interpretation of quantum mechanics more broadly.

Review
Physical Sciences
Atomic and Molecular Physics

Theodoros Ioannis Miltiadis Tzouros

,

Emmanouil P. Benis

Abstract: Resonant transfer and excitation (RTE) is a correlated two-electron process mediated by the two-center electron-electron interaction: A projectile electron is excited while a target electron is captured, forming doubly excited states. These decay via X-ray (RTEX) or Auger (RTEA) emission. For fast enough collisions with light targets, RTE becomes analogous to dielectronic capture (DC)—a key plasma process—and is described by the impulse approximation (IA). Early (1983–1992) RTEX and the more stringent, state-selective RTEA measurements at accelerator facilities provided indirectly, essential DC cross section information before direct electron-ion DC measurements became available. The 1992 review [1], focusing on zero-degree Auger projectile spectroscopy (ZAPS) of state-selective KLL D states, validated the IA for low-Zp ions (Zp ≤ 9). However, a puzzling systematic discrepancy was revealed: IA cross sections were consistently larger than experiment, with the disagreement increasing as projectile atomic number Zp decreased. This review updates RTEA progress since 1992: Refinements to IA calculations include the use of more accurate Auger rates, considerations of Auger anisotropic emission, novel target binding corrections and even an exact IA formulation. Experimental ZAPS improvements feature a hemispherical spectrograph and a proven in situ more accurate standardized absolute cross section calibration using binary encounter electrons. A methodical analysis demonstrates impressive agreement across all measurements spanning both pre- and post-1992 eras including measurements presented here for the first time, eliminating systematic discrepancies. IA validity is confirmed down to boron ions, with He+ ions as the sole clear exception together with some borderline Li-like ion cases. Recently, a rigorous ion-atom collision treatment has also emerged: Nonperturbative close-coupling calculations of transfer excitation of He-like ions in collisions with He confirms RTE dominance via two-center electron-electron interactions at large impact parameters, while providing unexpected insights into many-body collision dynamics at the lowest collision energies.

Article
Physical Sciences
Theoretical Physics

Francois Danis

Abstract: This paper critiques the established loss of simultaneity in special relativity which comes from Minkowski spacetime, and proposes a return to simultaneity through Lorentz transformation. Einstein's original thought experiment with a train (observer M’), an embankment (observer M) and lightning is shown, at first, to be inadequate for a test on simultaneity, and a new scenario is proposed. The new scenario posits that both observers M and M’ should be in the middle when the waves arrive (when waves leave is the original scenario). Despite time dilation and length contraction, simultaneity can be observed, suggesting that motion does not preclude simultaneity. But there is more; by using Lorentz invariance (therefore pure calculation), the conclusion of simultaneity will be reached with both the original and the new scenarios for both observers. This paper argues that Minkowski's oblique coordinates are probably unnecessary. Lorentz transformation maintains a consistent scale between observers, suggesting a shared background that supports simultaneity.

Article
Physical Sciences
Other

Doron Kwiat

Abstract: We present a classical theoretical framework in which combinatorial optimization emerges from nonlinear relaxation of coupled real-valued phase fields governed by a global Lyapunov energy functional. Each computational element (CF-bit) evolves in a bistable periodic potential while pairwise interactions encode problem-specific couplings, enabling gradient-descent minimization of QUBO and Ising objective functions. The key contribution is an explicit global energy functional from which all dynamics are derived, guaranteeing monotonic energy descent under damping. This distinguishes the approach from existing oscillator-based Ising machines where no closed-form Lyapunov functional exists. Numerical simulations on instances up to 20 bits demonstrate deterministic phase-locking convergence, with optional transient noise improving exploration of rugged landscapes. While limited in scale and not overcoming NP-hardness, this work provides a conceptual framework showing how discrete optimization can emerge from continuous classical dynamics with mathematically transparent energy structure.

Article
Physical Sciences
Theoretical Physics

George Davey

Abstract: We develop a comprehensive quantum--mechanical and field--theoretic framework for a complex scalar field whose modulus encodes a local time density and whose internal phase carries a \(U(1)\) structure. This field, which we call the timeon, admits a potential with two thermodynamically distinct minima: a null--stress vacuum phase and a deeper condensed atomic phase. We show that localized, finite--energy atomic--phase domains embedded within the vacuum couple naturally to a conventional matter wavefunction psi(x, t), giving rise to a new class of composite eigenstates-Baryon Partner States (BPS). These states are elements of the composite Hilbert space (H_psi tensor H_Phi) and function as the fundamental excitations of the theory. We derive the complete Lagrangian and Hamiltonian governing the timeon field, obtain the coupled Euler--Lagrange equations for the composite system, and construct static, spherically symmetric BPS configurations satisfying regularity and finite--energy boundary conditions. Each BPS exhibits a topologically constrained core, a nontrivial radial profile, and a quantized \(U(1)\) phase winding. These structures endow the states with emergent mass, charge, and confinement properties. Baryonic mass arises entirely from spatial gradients and potential energy of the field configuration; charge originates from the internal phase winding; and confinement emerges as an energetic and geometric necessity---continuous unwinding of the phase is forbidden without traversal of infinite--energy configurations, preventing fractional excitations from existing in isolation. Vacuum--to--atomic tunneling and bubble nucleation processes are analyzed in detail, including energy barriers, critical radii, and transition amplitudes for metastable decay. The local matter density \(|\psi|^2\) acts as a compression parameter that dynamically lowers nucleation thresholds and drives the formation of atomic--phase regions. Linearization about both homogeneous phases and static BPS configurations yields the complete small--oscillation spectrum of the theory; these internal modes form a predictive excitation tower and correspond directly to resonances in scattering processes. By promoting the translational degree of freedom of a BPS to a dynamical modulus, we derive its effective nonrelativistic Lagrangian and identify a renormalized inertial mass. Pairwise interactions between BPSs generate an effective potential consisting of strong short--range repulsion, an intermediate--range attractive well, and Yukawa--like long--range decay. This structure supports two--body bound states, determines low--energy scattering phase shifts, and produces resonances when collision energies match internal excitation frequencies. Extending to many--body systems, we show that BPSs form stable clusters analogous to small nuclei. A systematic low--energy effective field theory is obtained by integrating out internal BPS modes. Together, these results demonstrate that mass, charge, confinement, excitation spectra, scattering behavior, and nuclear--like structure can emerge from the dynamics of a single complex field coupled to a matter wavefunction.

Article
Physical Sciences
Astronomy and Astrophysics

Stephen Atalebe

Abstract: The origin of the arrow of time remains one of the most persistent conceptual problems in physics. While microscopic laws are largely reversible, the macroscopic universe exhibits unmistakable temporal directionality. This paper proposes that the arrow of time can be understood as the cumulative consequence of irreversible structural commitments that progressively reshape the accessible configuration space of the universe.Building on recent non-Markovian extensions of cosmology in which memory kernels link the present expansion to a weighted history of nonlinear structure, the paper elevates these results into a broader physical principle. Across simulations, observations, and phenomenological reconstructions, structure formation consistently generates retarded responses that act as an effective drag on cosmic expansion. The paper argues that such memory effects are not merely technical features of coarse-grained dynamics but are surface manifestations of a deeper constraint-forming process.This synthesis paper introduces the concept of \textit{structural commitment} as an irreversible transition that permanently restricts future dynamical possibilities. Within this framework, temporal direction emerges naturally from the accumulation of constraints rather than from entropy growth alone. Entropy describes evolution within an accessible state space; structural commitment governs how that space itself contracts over cosmic history.A minimal formal description is presented in which cosmological evolution proceeds on a progressively constrained manifold. The study shows how multiscale memory kernels provide empirical evidence for this process, forming a hierarchy that runs from fast, viscosity-like relaxation on nonlinear scales to slow horizon-level responses. Several observational and theoretical predictions follow, including increasing history sensitivity at late times and the generic emergence of long effective memory horizons from kernel mixtures.Rather than introducing new microphysics, this work synthesizes existing non-Markovian results into a unifying interpretation: the arrow of time is the macroscopic record of constraints the universe can no longer reverse.

Article
Physical Sciences
Applied Physics

Milind Kulkarni

,

Arun Kalkar

,

Vineeta Deshpande

,

Modika Kulkarni

Abstract: The crystallization behavior of polyethylene terephthalate (PET) and PET/Thermotropic liquid crystalline polymer (TLCP) composites was analyzed under nonisothermal conditions using calorimetric kinetic data, with thermodynamic parameters derived from the Lauritzen–Hoffman (L-H) model. The crystal growth process, dominated by secondary nucleation, deviates from simple spherulitic radial growth, instead reflecting a complex interplay of nucleation and lamellar growth phenomena. The temperature dependence of the linear crystal growth rate (G) follows a biexponential form as per the L-H relation, integrating both segmental transport and thermodynamic driving forces. Through kinetic modelling, values of nucleation constants (Kg), pre-exponential growth factors (G0), and surface free energies (σ and σe) were obtained.The analysis confirmed crystallization in Regime II across all compositions and temperatures studied (195–210°C), characterized by a chain-folding mechanism where growth occurs on pre-existing crystalline substrates. The substrate length (L), estimated via the Lauritzen Z test, increases with TLCP content and crystallization temperature,indicating enhanced nucleation and hindered chain folding in composites. PET/TLCP blends exhibited higher fold surface energy and work of chain folding compared to neat PET, revealing the inhibitory effect of TLCP on PET crystallization kinetics. These findings offer a comprehensive understanding of the crystallization regime transitions and underlying thermodynamics in PET/TLCP systems.

Article
Physical Sciences
Theoretical Physics

Kuldeep Singh Meel

Abstract: In this work, we develop a deterministic physical model of force, gravitation, and weight based on microscopic imbalances between positive (+) and negative (—) charge units. Within the proposed framework, energy deficiency in negative charge units generates a fundamental attractive interaction with positive charge units, leading to an effective microscopic force that scales approximately as r −3 with distance. Through statistical averaging of this microscopic interaction in many-body systems, the emergence of gravitation at macroscopic scales is obtained. The model further demonstrates that the mutual attraction between a material object and a celestial body, in which both bodies exert equal and opposite forces on each other, manifests as weight through their combined effect. Accordingly, weight is interpreted as the resultant of reciprocal gravitational responses between interacting bodies. The proposed theory treats force, gravitation, and weight not as independent phenomena, but as different manifestations of a single underlying microscopic mechanism. The mathematical framework preserves dimensional consistency and predicts measurable deviations in high-density systems and microscopic structures. These predictions are experimentally testable and provide an alternative perspective on the microscopic origin of gravitational interactions.

Article
Physical Sciences
Theoretical Physics

Raoul Bianchetti

Abstract: We propose a foundational reinterpretation of geometry, based on the informational framework of the Viscous Time Theory (VTT). At the heart of this approach lies the hypothesis that geometry is not a precondition for information, but rather the natural response of the vacuum to structured informational pressure (ΔC). We demonstrate that the Planck length (l_P) is not a minimal spatial unit, but rather a threshold of informational coherence, below which no Φα tunnel—a stable conduit of structured logic in VTT—can persist. From this principle, we derive the existence of the Unità Elementare Coerente (UEC-it means Elementary Unit of Coherence) — a minimum pair (ΔI_0, l_P^2) — representing the smallest area capable of hosting an irreducible coherent information unit. We propose a correspondence between this construct and the Hodge Conjecture, by showing that only within such coherent regions can harmonic forms emerge and persist. This leads to a unified view of topological information, where space, time, and geometry are not primary, but emergent from the self-organization of information via ΔC gradients. This work extends our previous VTT reinterpretations of Casimir effect, Euler–Mascheroni persistence, and Minkowski fields, by anchoring all structures to a Planck-scale field of informational response. We conclude by outlining implications for quantum gravity, a novel interpretation of curvature as an informational phenomenon, and a testable experimental setup to detect ΔC-induced micro-geometric structures in photonic environments.

Article
Physical Sciences
Astronomy and Astrophysics

Henry Matuchaki

Abstract: We present a scalar-tensor extension of General Relativity (GR) in which a covariant coherence field Φ is non-minimally coupled to spacetime curvature through a variational action of the form S = R d4x √−g [(1+λΦ)R− ω2∇μΦ∇μΦ−V (Φ)]/(16πG)+Sm. Variation with respect to the metric yields modified Einstein equations Gμν + Cμν(Φ) = (8πG/c4) Tμν, where the coherence tensor Cμν encodes gradients of the scalar field and vanishes identically when Φ → 0, recovering GR exactly. We derive the effective correction to periapsis precession in the weak-field regime and show that it is governed by a single dimensionless combination Ξ = e2(1 − e2)−1 · rg/a, where e is the orbital eccentricity, a the semi-major axis, and rg = 2GM/c2 the gravitational radius. The effective coupling λeff is bounded by precision pulsar timing to λeff < 2.0, which renders Solar System corrections undetectable at present but predicts corrections of order 10−3 for the S2 star orbiting Sagittarius A* — within reach of next-generation interferometric astrometry. The theory constitutes a phenomenological effective framework with a single effective parameter λeff , constrained by internal consistency and binary pulsar observations. We outline falsifiable predictions and identify the regimes where screening mechanisms may permit larger deviations, motivating future work on galactic-scale applications.

Article
Physical Sciences
Optics and Photonics

Onse Jeong

,

Jong-Kwon Lee

Abstract: Dielectric engineered plasmonic nano-hole arrays (NHAs) provide an effective approach for controlling subwavelength light confinement. Here, we investigate wavelength compression in aluminum NHAs filled with three different dielectric materials such as Al2O3, MoO3, and TiO2 under illumination by a 1.5 µm lightwave. The hole radius varies from 300 nm to 500 nm to analyze the combined effects of geometry and dielectric environment on the plasmonic response. The NHAs filled with Al2O3 exhibit a pronounced and monotonic increase of the compressed wavelength with decreasing hole radius, indicating strong geometric tunability of the dominant plasmonic mode. Meanwhile, the structures filled with MoO3 or TiO2 show weak wavelength variations over the same radius range. Spatially resolved analysis at these nano-holes reveals nearly position-independent wavelength squeezing for Al2O3, whereas noticeable spatial variations appear for MoO3 and TiO2 at hole radii of 450 nm and 400 nm, respectively. The observed wavelength compression is attributed to hybrid plasmonic modes originating from the interplay between in-hole–like compressed cavity modes and localized surface plasmon polaritons. Our findings demonstrate how dielectric composition tunes wavelength compression in plasmonic NHAs, offering practical guidelines for designing the near-infrared plasmonic devices.

Article
Physical Sciences
Quantum Science and Technology

Tejinder P. Singh

Abstract: Objective collapse models are often implemented so that collapse acts only on the fermionic (matter) sector, while bosonic fields do not undergo fundamental collapse. In generalized trace dynamics (GTD), spontaneous localization is expected to arise when the trace Hamiltonian has a significant anti-self-adjoint component. In this note we show, starting from the STM-atom (spacetime-matter atom) trace Lagrangian written in terms of two inequivalent matrix velocities 1 and 2, that the purely bosonic subsector admits a self-adjoint Hamiltonian, whereas the fermionic sector carries an intrinsic anti-self-adjoint contribution. The key structural input is that making the trace Lagrangian bosonic requires insertion of two unequal odd-grade Grassmann elements β1β2. Assuming natural adjoint properties for these elements, we compute the trace Hamiltonian explicitly via trace-derivative canonical momenta (with bosonic and fermionic variations treated separately) and isolate the resulting anti-self-adjoint term. This provides a first-principles mechanism, within GTD, for why only fermionic degrees of freedom act as collapse channels.

Article
Physical Sciences
Theoretical Physics

Andrew Wutke

Abstract: Motivated by the work of Matsas et al. (2024), which demonstrates that time can serve as the fundamental unit for physical quantities—obviating the need for traditional Length-Mass-Time (LMT) dimensions—this research evaluates the operational resolution of velocity within relativistic frameworks. Utilizing a Lorentz transformation matrix approach, we first validate the Matsas three-clock protocol, confirming the derivation of distance as a function of three proper clock times in Minkowski spacetime and uncovering two novel velocity expressions derived solely from these temporal intervals. The investigation was extended to Tangherlini’s 4D spacetime framework (1958) to test the hypothesis that absolute velocity could be resolved through subluminal signaling. While the initial three-clock scenario resulted in the systematic cancellation of the Base system's absolute velocity, a breakthrough was achieved by applying the Relativistic Doppler Effect within the Tangherlini metric. This approach effectively circumvents the mathematical cancellations prevalent in standard relativistic "null" experiments. The findings reveal that the Tangherlini and Minkowski frameworks are intimately related; the former serves as a necessary complement to the Special Theory of Relativity (STR) rather than an antagonist. This theoretical advancement suggests a plausible methodology for the measurement of absolute velocity without the requirement of instantaneous signals. By resolving the longitudinal Doppler shift within a preferred-frame geometry, this research provides fresh impetus for the historical debate on absolute motion initiated by Poincaré and Einstein.

Article
Physical Sciences
Mathematical Physics

Felipe Oliveira Souto

Abstract: We present a first-principles derivation of the hydrogen \( 2S_{1/2}-2P_{1/2} \) Lamb shift correction from the spectral geometry of Riemann zeta zeros. The framework reveals an exact scaling factor 366 connecting pure mathematical expressions to physical observables. Starting from the first four non-trivial zeros \( \gamma_1, \gamma_2, \gamma_3, \gamma_4 \) of \( \zeta(1/2 + i\gamma_n) = 0 \), we derive: (1) the Lamb shift correction \( \Delta\nu_{\text{Lamb}} = 7.314 \) kHz, (2) the exact scaling factor \( 366 = 8\pi^2(\gamma_4/\gamma_1)^2 \), and (3) demonstrate that this factor emerges necessarily from the Enneper-Möbius geometric framework underlying fundamental constants. The derivation is mathematically self-contained, numerically exact to computational precision, and provides a unified geometric origin for \( \alpha^{-1} = 137.035999084 \), \( \ell_P = 1.616255\times10^{-35} \) m, and quantum electrodynamic corrections.

Article
Physical Sciences
Quantum Science and Technology

Yves Schmit

,

Mert Bayraktar

,

Symeon Chatzinotas

Abstract: Quantum Sensing (QS) is a sub-category of Quantum Technologies (QT). Within defence and military domains, QT is considered an Emerging Disrupting Technology (EDT). QS leverages the properties of Quantum mechanics (QM) to develop and introduce a new family of sensors that are unmatched in performance compared with classical sensors. As such, QS might have the ability to break current stealth technologies and detect avionics, underground facilities, or undersea objects such as submarines and man-made structures, which are key capabilities of a Nuclear Deterrence (NT) strategy. This paper examines the current development in QS and the potential impact of this EDT on military operations with a focus on nuclear deterrence.

Article
Physical Sciences
Astronomy and Astrophysics

André J. H. Kamminga

Abstract: We propose a framework in which the physical vacuum is described as a spectrally bounded medium rather than an unbounded quantum background. Vacuum fluctuations are restricted to a finite energy interval, bounded above by the hadronic confinement scale and below by a thermal transition scale asso- ciated with hadronic matter formation. This natural double bound renders the vacuum-energy integral finite by construction within the effective SBV framework and yields a finite vacuum energy density without fine-tuning. Within this bounded interval we introduce a spectral density ρ(E), a discrete energy spectrum with degenerate levels, and damping factors that encode the entropic and thermal suppression of different energy modes. We formulate the hypothesis that the stable particles of the Standard Model arise as excitation patterns of this bounded vacuum spectrum. Gauge symmetries appear as symmetry groups of internally degenerate spectral structures, such that the full SU (3)×SU (2)×U (1) gauge structure emerges from this underlying organization. Coupling constants appear as geometric quantities determined by overlap integrals of spectral modes. In addition, we develop a thermodynamic formulation by introducing a spectral entropy and an effec- tive temperature, allowing gravity to be interpreted as a thermodynamic response of the bounded vacuum spectrum to matter–energy distributions, in line with emergent-gravity ideas. We systematically present this emergent spectral vacuum model and explore its implications for vacuum energy, particle physics, and gravitational dynamics.

Article
Physical Sciences
Particle and Field Physics

Dimitris Mastoridis

,

Konstantinos Kalogirou

,

Panos Razis

Abstract: We present a non-supersymmetric Grand Unified Theory based on the gauge group U(4) that offers a unified origin for the electroweak scale, the strong interactions, the hierarchy of fermion masses, and the confinement of color. We propose that the symmetry breaking pattern SU(4) → SU(2)H is radiatively selected, partitioning the vacuum into a standard gluon sector and a new topological "Warden" sector. We identify the excitations of this new sector (the Wardens) not as simple gauge bosons, but as Hopf solitons (Hopfons) formed by the scalar Goldstone degrees of freedom. Crucially, we employ the Cho-Duan-Ge decomposition to separate the gauge potential into a topological ’restricted’ mode and dynamical valence gluons. We demonstrate that the transverse valence modes acquire a large constituent mass from the magnetic background and effectively decouple from the renormalization group flow, leaving the evolution dominated by the scalar topological degrees of freedom. Furthermore, we show that the fermionic statistics of the Warden fields are not a violation of quantum field theory but a rigorous consequence of the Finkelstein-Rubinstein mechanism, where the non-trivial Hopf invariant (QH = 1) induces a geometric Berry phase that mandates Fermi-Dirac quantization to preserve S-matrix unitarity. This topological identification resolves the spin-statistics tension and justifies the use of scalar beta-function coefficients, leading to a precise three-loop unification of gauge couplings at MGUT ≈ 3.2 × 1016 GeV. The theory posits a "Tilted Universe" mechanism wherein the electroweak scale is generated by a geometric misalignment between the Higgs vacuum and the rigid Warden condensate. The misalignment angle is dynamically locked to the flavor sector, predicting a fundamental stiffness scale of FUV ≈ 1.1 TeV. We demonstrate that this high-energy stiffness generates a lower dynamical confinement scale via dimensional transmutation, ΛIR ≈ 330 MeV, which correctly predicts the scalar glueball mass (MGB ≈ 1699 MeV) and string tension (√σ ≈ 440 MeV) from first principles. In the matter sector, a single flavor-democratic Yukawa coupling at the GUT scale is shown to deterministically evolve into the observed 17-order-of-magnitude hierarchy of quark and charged lepton masses. The model resolves the flavor puzzle by predicting a hierarchical CKM matrix for quarks and, via a non-universal "Hopf Portal," an anarchic PMNS matrix for leptons. The framework makes two sharp, falsifiable predictions: the absolute stability of the proton, and the existence of a heavy topological resonance at 8.2 ± 0.4 TeV, accessible at future hadron colliders. The proposed model, along with its associated phenomenological effects and searches for new particles within the emergent "Warden" sector, accurately derives from first principles the Top Quark mass (172.68(22) GeV), the Weak Mixing Angle ( sin2 θW = 0.23125), and other experimentally derived quantities with high accuracy. It can be examined at current and upcoming high energy physics experiments focused on Beyond the Standard Model (BSM) physics, such as at the High Luminosity LHC at CERN and the Future Circular Collider (FCC).

Article
Physical Sciences
Astronomy and Astrophysics

Huang Hai

Abstract:

This paper proposes an extremely simple logarithmically modified gravitational potential, whose most prominent feature is the cross-scale unity from black hole "singularities" to galactic dynamics: through the sign reversal of the gravitational potential at the microscale (r<r*≈8.792×10-11m), dynamics avoids any matter collapsing into "singularities". Under this mechanism, the angular diameter of black hole shadows and the orbital velocities of high-speed stars orbiting them can be a priori predicted without introducing any free parameters (such as spin, eccentricity, etc.), and finally extended to explain galactic rotation dynamics. By analyzing the mathematical asymptotic behavior of all dark matter halo models, we obtain a core finding: adding a simple logarithmic correction term to the original Newtonian gravitational potential: \( Φ(r)=-\frac{GM}{r}-\frac{(kG_h M^2 (ln⁡r+1))}{r} \) a possible framework that avoids collapse to (eliminates) singularities and explains the flattening of galaxy rotation curves under the same physical mechanism can be obtained. Among them, the logarithmic term " " is the key to realizing the cross-scale effect of "repulsion at short distances and attraction at long distances". Without introducing additional free parameters (such as spin), we a priori predict black hole shadows (Sgr A*, M87*) that are consistent with EHT observations; then, based on the same physical mechanism, a priori calculate the "perihelion" velocities of high-speed stars (S4714, S62) orbiting black holes, which are consistent with observations; finally, through this mechanism, we posteriori fit galaxy rotation curve data (Milky Way, Andromeda Galaxy, NGC2974) and other cross-scale verifications (spanning nearly 30 orders of magnitude from black hole singularities to galaxies), initially proving that the framework shows a high degree of observational consistency in both strong gravitational fields (black holes) and weak gravitational fields (galaxies) (especially the a priori prediction of black hole shadows). Based on this, we further provide almost unique quantitative a priori predictions for the angular diameters of six candidate black hole shadows (such as NGC4261, M84, etc.) that have not been observed by EHT under this theoretical mechanism (unable to adjust spin α and inclination i to match observations), as observable predictions awaiting future verification (e.g., NGC4261 is predicted to have a shadow angular diameter of 5.9 ~6.3μas, M84 is predicted to have a shadow angular diameter of 9.8 ~10.7μas, etc.). Core feature: The logarithmic correction is not introduced to address any single phenomenon. It originates from the universal result of the asymptotic mass distribution \( ρ(r)∼r^{-3} \) of dark matter halos, and is consistently reflected in: 1) the regularization of the central gravitational potential; 2) the formation of black hole shadows; 3) the dynamics of high-speed stars; 4) galactic rotation curves. These manifestations form an inseparable whole. This framework not only achieves, for the first time, a unified description of gravity from the microscopic to the macroscopic scale (requiring only ordinary matter mass) but also provides an observable and reproducible empirical framework for quantum gravity theory, potentially freeing it from the long-standing research method of pure mathematical modeling (distant from actual observations) and transitioning to physical verification.

Article
Physical Sciences
Theoretical Physics

Paul Swann

Abstract: We present an artefact-driven simulation study of calibration-first deterministic standing-wave qubit control derived from the calibrated scalar sector of the Refined Space–Time Membrane (STM) model. Starting from the STM governing equation written in SI force-density form, we show that coherence scales, gate-timing windows, stability margins, and spectral constraints can be derived directly from the calibrated elastic operator together with a single empirically extracted damping parameter, without invoking additional quantum postulates or phenomenological tuning. These quantities are treated operationally as stability and timing proxies that define an explicit admissible operating envelope for a given measured embodiment.A paired simulation pipeline is employed. Full-field spectral integration of the STM partial differential equation is used to extract the carrier frequency and coherence scales from a no-pump ring-down response while simultaneously verifying operator positivity. A reduced two-mode envelope model, calibrated directly against the governing equation, is then used to synthesise single- and two-qubit operations and to evaluate timing, slew, stability, and spectral hygiene under a uniform, windows-first acceptance policy. Interferometric, region-coupled, and sub-threshold parametric control routes are exercised within the same framework.Parametric operations are certified by exact Floquet analysis, demonstrating strictly below-threshold stability with explicit margin rather than heuristic thresholding. Robustness is assessed via multi-mode leakage tests and closed-loop noise injection, with all accepted operations satisfying the declared coherence, stability, and read-out constraints simultaneously. All reported quantities are populated exclusively from machine-readable artefacts generated by the build pipeline.The results establish a reproducible operating envelope for deterministic standing-wave qubit control in silico, conditional on the empirically measured damping rate and carrier response of the embodiment under test. In this role, the envelope may be interpreted operationally as a device-level acceptance boundary that distinguishes admissible from non-admissible regimes for deterministic execution. Within its declared scope, this study provides a concrete and falsifiable bridge between continuum STM dynamics and qubit-level control metrics, offering an extensible and platform-agnostic framework for resonant or wave-based qubit implementations.

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