Physical Sciences

Abstract: Quantum Information Copy Time (QICT) is formulated as a receiver-based operator construction in which finite spectral geometry, reversible body-centered-cubic dynamics, compact gauge transport, Riesz–Kato state selection, and matrix-valued spectral reconstruction form a single derivation chain. Within the declared primitive receiver class, orientation visibility fixes a three-state endpoint carrier; its irreducible Weyl pair enforces three-family multiplicity; the visible finite algebra is \(\mathbb C\oplus\mathbb H\oplus M_3(\mathbb C)\); and anomaly compatibility selects the hypercharge ray \((1,4,-2,-3,-6,0,3)\) in the normalization \(q_Y=6Y\). A frozen compact-gauge update, a selected spectral subspace, and the six-source moments \(C_n^{(6)}=V^\dagger U^nV\) generate a positive matrix spectral measure and a regulator-resolved observable map. At \(L=24\), the charged \(SU(2)\) sector is encoded by 13 sparse matrix-product-state cores containing \(2\,804\,819\) nonzero coefficients with maximum observed bond dimension \(594\,652\); the four incident charged plaquettes occupy 128 disjoint sparse shards with support \(77\,036\). The rank-six common contraction contains \(21\,136\) links, \(18\,252\) plaquettes, \(261\,346\) connected \(SU(2)\) recoupling pairs, and a \(3925\)-node \(C_{10}\) graph. Exact color factorization in the charged-lepton relative operator sharpens the propagated representation bound from \(3.85779742077\times10^{-8}\) to \(1.83128545829\times10^{-8}\). The selected finite Kato calculation has dimension \(122\,677\) and gap \(14.4258464463\), while the matrix-free Riesz evaluation reaches projector and density errors of \(1.44\times10^{-17}\) and \(1.57\times10^{-16}\). Fermion masses arise from sector-specific spectral objects generated by the same microscopic dynamics. Dimensionless charged mass coordinates are singular values of the residue-normalized left–right Feshbach block; quark masses are the scalar chirality-changing coefficients of the renormalized color-resolved inverse propagator in a declared short-distance scheme and scale; and the neutral \(6\times6\) complex-symmetric Nambu kernel yields Takagi masses and neutrino observables. The reduced charged-lepton construction produces the parameter-free scale-free mass coordinates \((m_e:m_\mu:m_\tau)_{\mathrm{red}}=1:206.731294355038:3477.03865395274,\ Q_K=0.666671416005203.\) The mass and mixing observables are generated by one common interacting operator hierarchy. Residue-normalized isolated poles and lower charged spectral-support edges determine the physical two-point mass coordinates, while the matched charged-current three-point function on the same regulator net determines CKM and PMNS. The converged spectrum fixes all dimensionless mass ratios, and the single metrological coordinate \(\tau_*\) completes the dimensional map to absolute masses. Finite quark and neutral Takagi coordinates provide regulator-resolved spectral anchors whose common-net limits define the corresponding continuum observables. The construction also yields exact finite-regulator invariants: receiver timing \(1{:}3{:}5\) within the integer structure \((1,3,5,14,21,126)\tau_*\) and a parameter-free normalized BCC photon signature whose quadratic fingerprint has high-symmetry ratio \(9{:}21{:}25\), spherical mean \(31/160\), variance \(1/525\), and a fixed quartic directional map; its anisotropic amplitude exhibits the predicted \(a^2\) suppression, providing a quantitative approach to the Poincaré-covariant continuum limit. The formal closure is organized as ten theorems with explicit hypothesis classes. Universal quantum principles define the admissible finite-geometry category; source-visible receiver data select \(\mathbb C\oplus\mathbb H\oplus M_3(\mathbb C)\) within that class; source completeness plus the primitive endpoint Weyl system fixes \(N_g=3\); and strict CAR functoriality fixes the matter lift. Along a renormalized path the reconstruction defect obeys \(\|D(a)\|_1\le C_D(a\mu_*)^{p}\) with \(p=\min\{2,\omega_*\}\), where \(\omega_*\) is the least irrelevant interacting RG exponent on the selected trajectory and the auxiliary regulators follow the stated cofinal schedules. The overlap-kernel gap, Kato branch-selection gap and physical sector thresholds are treated as distinct spectral quantities; gauge-invariant observables are defined before gauge fixing, with maximal-tree representatives furnishing the auxiliary gauge-fixed comparison functions. The reconstructed continuum anomaly-free gauge theory inherits perturbative renormalizability from the established 't Hooft–Veltman gauge-theory theorems, while the microscopic RG map fixes the renormalized trajectory. The \(L=24\) rank-six data supply the exact precontraction and numerical backends for finite-regulator validation, together with the common-net operator contract that defines the interacting \(G_2/G_3\) mass and mixing construction.

Abstract: Phase transport specifies the change of phase along a path, but a predictor must also determine the path from initial data. We study this distinction in a conservative projector–connection model on the physical--observation dual-axis structure. A homogeneous two-mode reduction preserves the field equations, Gauss constraint, and energy, and has a global classical flow. Horizontal transport followed by a fixed analyzer gives a nonvanishing coherent readout on an invariant plane. With known parameters, no active input, and zero Gauss momentum, we derive a closed system of seven inner products for the planar branch. The Jacobian of the phase rate and its first six time derivatives has full rank at an explicit rational state, proving that seven is the minimal smooth predictive dimension on an open dense set. The initial phase is independent of these seven states. Near equilibrium, the linear observable motion reduces to two states; on a separate invariant family, internal motion leaves the phase constant. These results are placed in a protocol-dependent realization theory based on future phase increments. We also derive a background-dependent frequency law and the leading nonlinear phase coefficient. Signed perturbations and half-amplitude contrasts isolate the cubic contribution, while an explicit correction separates it from the cubic term introduced by coherent integration. Dynamic references and finite-window array processing illustrate the distinction between instantaneous alignment and phase prediction. All numerical examples are synthetic; the proposed physical tests require independent calibration of a device realizing the stated action and readout.

Abstract: A transient force was observed with high-voltage capacitors switch-on/off by several teams with dozens of experiments. It is well-known that, in the maxwell equations, as an electric field is switched on/off, an instantaneous superstrong magnetic field can be produced. For the hypothesis of gravitational-magnetic field interaction, the superstrong magnetic field should make a transient variation of the gravitational acceleration. Therefore, these experiments could be solid evidence for gravitational-magnetic field interaction. And, a way to finally judge the reason for the transient force is presented.

Abstract: The relation between meta-laws, first-order laws, and observational conditions poses a question about the structure of scientific intelligibility. This paper develops a categorical account of that relation. A four-quadrant ontology distinguishes the possible configurations of relations among M, L, and O. The ensuing theory of ontological degeneration interprets the remaining three quadrants as specializations of quadrant IV-C, obtained by replacing the corresponding categorical factor by the terminal category. The designation of these specializations as degenerate forms rests on an interpretive commitment: to preserve the explanatory power of scientific practice. In the full two-axis formulation, symmetry, normativity, causality, and statistical covariance require the dependence structure retained by quadrant IV-C; the other quadrants remove one or more of its defining relations. The central thesis is that F(L,O) = Ψ(R(L,O)) is the local projection or reconstruction of the global meta-law M at a specific pair (L,O), with M ∼ F(L,O) recording the relation between global structure and local realization. This thesis is developed through eight structures, with the categorical data and scope of their realizations stated in each case: \( Sym_H(M)\cong H/\ker\rho \), with faithful inheritance giving \( Sym_H(M)\cong H \); normativity is the constraint structure of covariance; causality is the functoriality of F over the category of time; statistical covariance is the functoriality of F over the category of probability; historicity is the functoriality of F along the flow of time; modality is the functoriality of F over admissible transformations; higher-categorical structure is the structural product of F as a 2-functor; and topos-theoretic structure takes shape in presheaf and sheaf realizations, whose internal logic characterizes the conditionality, boundedness, hierarchy, symmetry, normativity, causality, modality, and higher structure of laws. As a meta-theory, the F-framework is not directly falsifiable; its empirical implications take the form of three classes of testable assertions: covariance predictions, obstruction predictions, and levelevolution predictions. The inquiry also examines the geometry of observational space and engages with the major traditions of Western philosophy. The mathematical argument develops the natural comparison with its unit and counit, the presheaf extension adjunction, a representability criterion for an object-valued realization, and a logical model of joint inference. Global reconstruction proceeds through cones and cocones whose universal properties govern the passage from local descriptions to a global object. Sheaf gluing is related to the colimit of local domains, and an obstruction class belongs to the solution torsor of the realization problem. A finite calculation on the circle makes the distinction between an incompatible choice and a nonzero obstruction class explicit. Together, these constructions support a philosophical thesis: we have always inhabited quadrant IV-C, yet this condition has largely escaped recognition. Mathematics and philosophy have historically sought quadrant III—the realm of observer-independent absolute truth—by treating O as a transparent window. This aspiration involves a transcendental forgetting: the functor F(L,O) conceals the very O that makes knowledge possible, so that local projections come to be mistaken for absolute truths. The M-L-O framework brings this unacknowledged condition into view: it does not invent quadrant IV-C, for we have never left it. Philosophy’s task is to become conscious of the O that the aspiration to a God’s-eye view has led us to forget.

Abstract: A quantum phase reference is part of the state from which an observation record emerges. Within the physical-observation dual-axis structure, we describe such a reference by a compact quantum coordinate coupled to a finite-dimensional physical system. A covariant rotor action gives the joint evolution and expresses the readout's phase acceleration through ordered correlations and a covariant force. In a qubit model whose dynamics preserve two adjacent observation momenta, the first harmonic depends on four complex correlations. For fixed nondegenerate parameters, its full complex history requires eight real state variables. For phase increments alone, a common amplitude and phase factor can be removed, leaving three complex correlation ratios. We prove that these six real variables are locally minimal at generic states for every fixed nondegenerate parameter choice. Six suitably timed phase estimates and an initial reference recover the ratios by solving real linear equations; an error bound relates uncertainty in those estimates to the subsequent phase prediction. The role of the retained correlations is illustrated by preparations with equal marginals and equal initial phase, rate, and acceleration, but different future phases. We also describe how the state continues through a zero of the first harmonic and how finite integration windows affect the available information. The resulting theory connects a joint quantum action to phase prediction from finite records, subject to independent physical characterization of the phase inertia and coupling.

Abstract: The Spiral Structure Model (SSM) is a phenomenological model in the tradition of Bohr’s early atom: confined to kinematics and geometry, it exchanges dynamical depth for ontological clarity and experimental exposure. Three postulates suffice. (I) The photon is a pointlike energy quantum in uniform helical motion, its axial and circulation speeds both equal to c; (II) physical space is an elastic, relativistically covariant medium sustaining vortex excitations; (III) the electron is a stable topological vortex defect of that medium. From these — with every step carrying an explicit epistemic label — the model obtains the photon’s circulation angular momentum mcrγ = ℏ as a consistency theorem, identified with its spin; logarithmic vortex confinement with no free parameters; the two polarization states and the absence of a longitudinal mode; orbital angular momentum as an ensemble property; the electron’s 720-degree periodicity and spin ℏ/2 from π1(SO(3)) = Z2; the fine-structure constant as a ratio of structural scales; the free radiation field as a retarded ensemble moment satisfying the wave equation exactly; a phase-coupling account of two-slit interference; and a double-helix ontology of entangled pairs that reproduces the CHSH value 2√2. Three falsifiable discriminants are stated with explicit kill criteria: a wavelength-locked on-axis void in the photon’s detection profile, a spin-dependent electron form-factor window near Q = mc, and a circulation-periodic component in entangled-pair coincidence timing.

Abstract: In many contemporary studies on solar activity, time is typically treated as a single variable or as a linear variable over a given timescale. In traditional Chinese culture, time is represented by two ordinal categorical labels—Heavenly Stems and Earthly Branches—across four timescales. In recent studies, these two categorical variables were transformed into two cosine waves and significant correlations were found between these waves and the yearly variations in tropical cyclones and sunspot numbers. This study followed the methods of previous studies and provided explicit mathematical expressions. The objective of this study was to investigate the possible relationship between time represented by two cosine waves derived from the Ganzhi calendar and the spatial attributes of solar activity. Results showed that, on the yearly timescale, significant correlations were found between the two cosine waves and solar activity in the northern and southern hemispheres of the Sun, and three distinct patterns were identified. Based on these results, a linear formula for solar activity was proposed, from which estimates for the sunspot cycle and the solar magnetic cycle can be derived. In conclusion, treating time as two cosine waves may be useful for extracting spatial as well as temporal information from solar activity.

Abstract: This paper examines the conceptual boundary and governing principles connecting classical Newtonian mechanics, Einsteinian mass-energy equivalence, and Planckian quantum electrodynamics. In low-velocity macroscopic dynamics, mechanical energy transformations proceed under strict mass invariance, rendering relativistic corrections unnecessary. However, in complete radioactive decay or particle-antiparticle annihilation of a resting mass, intrinsic rest-frame energy converts directly into quantum electromagnetic energy. By linking rest-frame energy directly with Planck’s quantum formulation relating photon energy to radiation frequency and wavelength, the study demonstrates that the cumulative radiant energy strictly conserves the system's initial rest energy, establishing the fundamental equivalence between initial rest energy and total emitted photonic field energy. This paper details the structural transition from classical Newtonian mechanics to quantum field energy conservation without relying on intermediate relativistic momentum formulations.

Abstract: This work continues the framework developed in Ref. [1], in which time is treated relationally as the +1 evolution parameter associated with the dimensional configuration space of a physical phenomenon, and quantum-mechanical structure is proposed to emerge from the information-preserving dimensional recording of a higher-dimensional wave field. Here we extend that construction beyond the single-system description and investigate whether additional central elements of quantum mechanics can arise without being introduced as independent quantum postulates. We first clarify the recording process in terms of physically distinguishable equivalence classes of parent configurations and show how changes of the parent field can produce effective measurement-induced state updating in the reduced description. For independently preparable systems, preservation of local linear superposition leads to bilinear composition and, subject to completeness of the accessible composite state space, to Hilbert-space tensor products. Joint interactions then generate nonfactorizable reduced states, providing a structural origin for entanglement before any probabilistic interpretation is introduced. We subsequently derive the Born probability rule from the geometry of orthogonal reduced alternatives together with unitary invariance, noncontextual consistency, continuity, normalization, and additive coarse-graining. The resulting probability structure is compared with the independent robustness-based reconstruction of De Raedt, Katsnelson, and Michielsen [2]. Using the derived composite structure and probability rule, Bell–CHSH correlations are obtained from generic interaction-generated pure entangled states without assuming a singlet state or Pauli spin operators, while operational no-signalling is preserved. Finally, we explore a possible geometric extension toward internal gauge symmetries: aligned three-dimensional, tilted three-dimensional, and fully four-dimensional parent-field deformations lead respectively to one, two, and three component complex internal representations, suggesting U(1), SU(2), and SU(3) type symmetry structures. Unlike approaches that take the quantum formalism as their starting point, or reconstruction programs based primarily on operational or informational axioms, the present framework seeks a concrete physical mechanism from which these structures emerge together. The fact that a single modification in the dimensional role of time, combined with information-preserving reduction, consistently generates multiple otherwise independent features of quantum theory makes this possibility physically significant even before genuinely new empirical predictions are established.

Abstract: Residual analyses of gravitational-wave observations commonly ask whether post-model data are compatible with detector noise or contain coherent excess power. Paper III asks a different question: once recurrent merger-local morphology has been converted into frozen connected multiscale paths, do those paths exhibit repeatable family-level dynamics that remain unusual when controls are allowed to construct their own maps and paths? The confirmatory panel contains 13 frozen events. Each event contributes 1,000 controls, and each control passes through preprocessing, feature construction, a free path search, trajectory formation, frozen family classification, and the hypothesis statistic. Three prelocked hypotheses are tested. In the canonical analysis, corrected empirical p-values are 0.005994 for multistep trajectories under raw/M5 (H1), 0.002997 for oscillatory trajectories under raw/M5 (H2), and 0.026973 for quasi-stationary trajectories under raw/M3 (H3). A separately regenerated internal computational replication uses 13,000 newly generated controls and 1,000 valid population draws with zero technical invalids; corrected p-values are 0.009990, 0.002997, and 0.045954, respectively. The two nulls are not pooled. H1 and H2 therefore support a shared dynamical representation across distinct morphology families, while H3 supports a separate and less stable regime. A separately frozen compact-law audit is negative after search correction (search-aware p=0.089910; fixed-law p=0.677323), preventing the family-level result from being promoted to one universal trajectory law. The supported conclusion is recurrent, partially shared path dynamics in the frozen panel. Physical origin, catalog-wide prevalence, exhaustive systematic exclusion, and Beyond-GR interpretation are not established.

Abstract: We explore the hypothesis that the observed FLRW cosmology admits a finite global completion and ask how this changes the prospects for testing quantum gravity. A finite overdense region embedded in a larger background can undergo gravitational collapse, providing a possible prehistory for the observed expansion. If the collapse approaches a finite quantum-supported density \( \rho_G \), positive spatial curvature permits a nonsingular bounce connecting contraction to expansion. In one realization, the late-time de Sitter horizon of the FLRW interior is identified with the Schwarzschild horizon of the exterior, providing a finite global completion without modifying the local FLRW dynamics. The central proposal of this review is that such a finite bouncing cosmology can act as a laboratory for quantum gravity. We use quadratic gravity and PT-symmetric quantum theory as concrete realizations while emphasizing that the observational strategy is more general. Within scalaron inflation, the measured CMB amplitude constrains the \( R^2 \) coupling \( \alpha \) once the primordial state, reheating history and pivot-scale mapping are specified. Large-angle CMB parity statistics can similarly be related, within a specified primordial-state model, to an effective PT-breaking amplitude \( A_{\rm PT} \). PT completion also suggests a possible connection between the arrow of time and quantum information: information inaccessible within one semiclassical branch may remain encoded in a unitary PT-complete quantum state, potentially reformulating aspects of both the Past Hypothesis and apparent information loss. The contracting phase provides a possible second source of structure, distinct from inflationary quantum fluctuations. Nonlinear structures may form before the bounce. If such relics survive, their evolved abundance and mass function could be constrained by dark matter, early supermassive black holes, lensing and gravitational-wave observations. Strong-gravity measurements provide complementary tests of candidate microscopic completions through black-hole perturbations, horizon absorption and extreme-mass-ratio inspirals whenever the relevant additional degrees of freedom lie in an observationally accessible regime. The resulting framework is therefore best regarded as a network of cross-consistency and falsification tests. Relations among \( A_s \), \( \alpha \), \( A_{\rm PT} \), \( Y_B \), \( \rho_G \), spatial curvature, relic populations and strong-gravity observables range from established model-specific results to phenomenological hypotheses that still require microscopic derivation. If these relations can be sufficiently specified, otherwise unrelated observations could over-constrain a common quantum-gravitational history. Cosmological maps, black holes and gravitational waves can be regarded as experiments performed by Nature in regimes inaccessible to terrestrial laboratories, providing an observational approach to quantum gravity complementary to microscopic theory building. A finite Universe may preserve measurable information about both its pre-Big-Bang evolution and its high-density quantum state, turning otherwise inaccessible quantum-gravitational dynamics into a potentially falsifiable observational programme.

Abstract: A detector records an event through a succession of physical changes, from its initial response to the recovery of its working state. We construct a complete finite cycle on the local physical--observation phase space of PODA. An incoming carrier traverses fixed interaction regions, with its arrival, speed, and energy transfer governed by an autonomous Hamiltonian bounded below. Six canonical gates write a smooth event profile, amplify the pointer separation, export the record, reverse the working displacement, and exchange the remaining pointer state with a prepared blank. Their exact reference map identifies the selector and mechanical recoil left by record export. The retained core returns on the event-cell plateaus; narrow transition strips contribute a bounded probability of failure and a recoil that depends on the resolution. With a positive free Hamiltonian present throughout the passage, energy conservation and a finite-time perturbation estimate establish faithful writing, finite retention, and return within prescribed tolerances. An explicit binary realization admits nonzero preparation errors, and independent trajectory integrations check the equations and the endpoint map. These results complete the single cycle for the specified local model and incoming family. The calculation follows the archive, carrier, and waste through the output section, making explicit the resources consumed by reset. Preparation of fresh blanks, replenishment of those resources, and storage beyond the proven holding interval remain physical requirements of continued operation.

Abstract: Building on the generalized microon gas model and its equations of motion proposed in our previous work, this paper derives the four fundamental laws governing material interactions, namely Newton's law of universal gravitation, Coulomb's law, Faraday's law of electromagnetic induction, and the Biot–Savart law. Within this theoretical framework, the origins of mass and electric charge, as well as the fundamental nature of material interactions, are revealed, and the four fundamental interactions—strong, weak, electromagnetic, and gravitational—are unified under a single equation. As applications of the theory, we explain the origin of the anomalous rotational velocities of stars in galactic outskirts, analyze the mechanisms underlying nuclear decay and stability, derive an analytical formula for the β-stability line, and discuss the physical basis of the mass–velocity relation.

Abstract: We construct a common-action effective-field-theory interface between geometric–information relaxation and right-handed-neutrino condensation, retaining the distinction between configuration-space geometry and Lorentzian dynamics. A specified positive mediator operator bounds the induced four-Fermi susceptibility and excludes neutral condensation in a spectral parameter region. A derivative portal of the V20 form shifts the regulated mean-field gap equation, allowing a unique neutral threshold crossing when the bare coupling is supercritical and the statistical kinetic variable relaxes through the required value. The coupling's time dependence and its radial backreaction follow from the same action. At fixed statistical momentum and phase charge, a Routh reduction produces barriers at both the vanishing condensate and the degenerating kinetic coefficient. The reduced force is strictly increasing on the healthy interval: nonzero phase charge gives a unique positive stationary branch and rounds the neutral phase transition into a crossover. A two-reservoir Ward balance further yields a moving-equilibrium transport equation and a sufficient criterion for preserving condensate charge during exchange. Positive noise variance does not select a signed mean charge, and a configuration-space spectral bound does not establish a four-dimensional wormhole action. The companion Lean source imports the supplied V20 module, calls its CGICECore and UnifiedDynamics theorems, and extends the regulated-gap, transport and inequality evidence chains. This revision adds a complex rank–Takagi–ordering chain under explicit external mass inputs, and proves the algebraic freedom of complex mixing at fixed spectrum and flavor-singlet data. A restricted GY exponential ansatz also yields a scale-independent residual mass-ratio test. The new source compiles under Lean 4.34.0-rc1 (commit 3447a668) and Mathlib (commit 18accd59) with zero errors, zero sorry, and zero research axioms; the golden-gate #print axioms audit reports only propext / Classical.choice / Quot.sound. The derived restrictions and branch classification are conditional on explicit mediator, portal and initial-state inputs; measured neutrino masses, baryon yields and a quantum-gravity completion remain to be calculated.

Abstract: First, we generalize measure theory by establishing measures on all sets. Secondly, we take two properties of dark energy as the principle of the theory, one is that dark energy has the property of a non-measurable set, and the other is that all matter and fields are excitation of dark energy. We do deductive reasoning on the basis of these two principles, and the first conclusion is that there is non-measurable matter, and we provide evidence for the existence of such matter. According to the principles, We propose a theoretical framework that may provide a unified approach to a range of outstanding problems in physics. We can get that all geometric quantities in de Sitter space are interval-valued. Therefore , we can introduce quantum intertextuality into the theory of gravity and geometry.Finally,We put forward several falsifiable theoretical predictions, in particular the unilateral gravitational effect of non-measurable matter, which encompasses the violation of the weak equivalence principle for that matter.

Abstract: In vector field theory, calculating the energy of a rotating body requires using components of four-potentials and field tensors. In this connection, the scalar potentials and strengths of electromagnetic and gravitational fields, acceleration fields and pressure fields are calculated for the case of the relativistic uniform spherical system consisting of charged particles rotating with a constant angular velocity. The calculation method is based on the use of spherical vector polynomials associated with Legendre polynomials. It is shown that in a rotating system the same relation holds between field coefficients as in a stationary system. The rotation leads to new relativistic effects, in which directions of force lines of field strengths begin to deviate from the purely radial directions of rotating sphere. In addition, the scalar potentials of electromagnetic and gravitational fields in the center of the sphere and beyond the sphere increase in absolute value, as do the scalar potentials of acceleration field and pressure field in the center of the sphere. The Lorentz factor of particles moving in the center of the sphere also increases. The indicated effects were discovered due to the fact that the calculation method allows achieving high accuracy.

Abstract: We develop a physical realization of controlled-completion entropy geometry and derive its action, field equations and observable response relations. Relative entropy fixes a positive kinetic metric and, once a symmetric finite comparison is prescribed, a restoring potential. We state the foundation's conditional local-horizon closure to Einstein gravity and the additional spacetime and scale inputs. A two-coordinate oscillator then yields an Einstein-coupled matter model whose canonical matching links four contact interactions. We prove an invariant nonrelativistic polarization, an exact relation among response coefficients, and connected predictions for core support, gravitational instability, coherent pressure and cosmological dilution. A stress decomposition identifies how internal gradients and thermodynamic preparation affect gravitational dynamics beyond total density. We also develop a conditional infrared extension: a capital-\( \Gamma \) capacity-clock argument supplies a proper-time interpretation, horizon thermodynamics motivates an acceleration scale, and spatial Weyl invariance selects \( p=d \) within a local homogeneous gradient class. For \( d=3 \), the deep AQUAL equation yields a logarithmic spherical exterior, flat rotation curves and \( v_c^4=GM_ba_* \). Contracted relative entropy identifies the required differential response. An explicit Gaussian variance constraint yields a cubic entropy cost at criticality and a quadratic correction at finite correlation length. For a sufficiently small positive response floor, conditional gravitational matching permits a nearly flat interval followed by a Keplerian decline; the observable, state and local gravitational coupling remain to be derived. Prepared-state calculations verify the toy model, while SPARC comparisons illustrate conditional state and infrared responses. The adopted inner-calibrated approximation, evaluated on all 3389 defined rows, gives a conservative fixed baryon-only Gaussian-marginal null bound \( p_G\leq5.90\times10^{-123} \), with two-sided normal equivalent \( Z_G\geq23.58 \). This rejects that specified null, without identifying the microscopic mechanism.

Abstract: In our previous work, we proposed a specific Lorentz-violating model, whose most distinctive feature is that the momentum of a moving particle possesses an intrinsic cutoff proportional to the particle's rest mass. Building upon this Lorentz-violating model and simultaneously introducing the assumption of ultraviolet scale invariance, we find that, once this cutoff is incorporated into the Standard Model, electroweak symmetry breaking can be spontaneously induced by radiative corrections. Employing the complete two-loop renormalization group equations and an exact pole-mass conversion, we obtain a theoretical prediction for the Higgs boson pole mass of Mh = 125.08 GeV, which agrees with the experimental value of 125.11 ± 0.11 GeV within 1σ, thereby reducing the number of free parameters in the electroweak sector from two to one. Furthermore, we find that this mechanism can eliminate quadratic divergences at the kinematic level, which substantially alleviates the hierarchy problem in the Standard Model.

Abstract: Quantum computing relies on the controlled preparation, coherent transformation, coupling, and measurement of quantum states implemented in physical hardware. This article develops a proposed Photony interpretation of electronic qubits based on electron structure, c-spin, x-spin, electron transduction, elemental charge photons, and organized electromagnetic chain states. The analysis focuses on two complementary implementations: semiconductor electron-spin qubits, in which an individual electron participates directly in the encoded quantum degree of freedom, and superconducting qubits, in which the relevant state is collective and must be associated with coordinated many-electron electromagnetic organization. The proposed interpretation does not identify $|0\rangle$ and $|1\rangle$ with two fixed classical electron orientations. Instead, a qubit is hypothesized to correspond to an admissible structural condition involving electron or collective electronic organization, x-spin response, transduction geometry, and the surrounding electromagnetic chain state. Applied control fields may modify this structural condition, while multi-qubit interactions may establish shared or jointly constrained transduced organization. The quantum state remains the established predictive description, and the Photony framework is treated as a structural hypothesis rather than a replacement for quantum mechanics. Its viability requires quantitative recovery of superposition, relative phase, coherent evolution, Rabi oscillations, basis-dependent measurement probabilities, entanglement, decoherence behavior, superconducting-qubit dynamics, and quantum no-signaling, together with at least one experimentally distinguishable prediction.

Abstract: Several million narrowly defined exo-Earth candidates may exist in the Milky Way’s 7–9 kpc annulus from the Galactic Centre, according to the conditional model estimate underlying this essay. The number is large, but its interpretation must remain narrow. Similarity in radius, stellar flux, and po-sition within a conservative habitable zone does not show whether such planets have suitable atmos-pheres, stable climates, life, or technological civilisations. This raises a problem. If potentially suitable worlds are numerous, why does the universe still appear silent? Distance alone may not explain this. Civilisations could emerge at very different times, remain detectable only briefly, disappear before another civilisation arises, or never develop the capacity for sustained interstellar expansion. The absence of detected traces therefore leaves substantial uncertainty. We currently know of only one active biosphere and one technological civilisation, whose future is not guaranteed. The ability to control violence, technological risks, ecological degradation, and destruction of the biological systems on which civilisation depends may be as important to long-term survival as technological progress itself. Regardless of how many living worlds may exist elsewhere, preserving Earth is not only a matter of environmental policy, but a question of the long-term continuity of life and civilisation.