Physical Sciences

Abstract: Building on the published finite-resolution, background-independent framework for local semiclassical gravity, this work audits its phenomenological consequences across cosmology and particle physics. The finite–continuum bridge and cosmoparticle consistency provide the organizing principles. Because the diffeomorphism-invariant Hilbert space does not factorize, the construction is formulated on a causal diamond with a boundary-completed algebra that supplies the edge data needed for a local Wheeler–DeWitt description. The operational state and semiclassical reference family then share this algebra, allowing their relative-entropy mismatch to define local dynamics as statistical inference within an entropic approach to quantum gravity. The topology-locked boundary capacity fixes an effective channel multiplicity N ≈ 1.23 × 10¹¹. Calibrating its coherent tensor fraction to Newton's constant gives a common matching scale Mₛ ≈ 3.02 × 10¹³ GeV. In the equilibrium KMS regime, the leading relative-entropy Hessian separates into tensor, vector, and scalar response blocks. A quasi-local heat-kernel expansion maps these responses to a matching-scale effective field theory, while completely positive trace-preserving updates describe the open-modular evolution between causal diamonds. The finite–continuum bridge separates the geometric spectral response from the internal matter trace. The internal algebra \( \mathcal A_F\simeq\mathbb C\oplus\mathbb H\oplus M_3(\mathbb C) \) organizes the Standard Model structure. Once the Newton calibration, finite capacity, and internal algebra are fixed, the architecture must reproduce cosmological and microscopic targets from the same scales. In the cosmological sector, one-resolution saturation fixes the scalaron pole M_R = Mₛ and the curvature stiffness \( \lambda_{R^2}=N_{\rm eff}/12 \). The isotropic boundary response sets the coherence duration \( \mathcal N_*=18\pi \), yielding \( n_s\approx0.9646 \) and \( r\approx0.0038 \). All continuous dimensional scales cancel from the primordial scalar amplitude, leaving the pure finite-capacity relation \( A_s=81\pi/N \). Extending this same response gives exploratory late-time targets for vacuum energy, structure growth, and acceleration scale. In the cosmoparticle sector, the same capacity N and matching scale Mₛ determine the electroweak saturation limit and the gauge-coupling relations, while the scalar accessibility organizes the charged-lepton hierarchy. Finite-mesh simulations confirm the six-pole projection, attractor convergence, one-resolution matching, and the finite-\( \mathcal N \) primordial trajectory. Structural inputs, epistemic status, and failure conditions are stated explicitly. The resulting construction is usefully rigid: changing one shared input disrupts several linked relations, allowing cosmological and microscopic observables to test the same quantum-gravitational architecture.

Abstract: Classical physics describes gravity, electromagnetism, and light with extraordinary precision but not what they are — this paper proposes a unified mechanical model: they are consequences of space being a crystal of spinning spheres. The elements of this crystal — called hyphons (from Greek hyphē, fabric) — are vortices in a superfluid ether, each spinning on one of four tetrahedral axes, packed in the same face-centred cubic (FCC) arrangement as the atoms in a silver crystal. Transverse sound travels through silver at 1,600 m/s — a wave governed by the lattice spacing, stiffness, and density. Light, in this model, is the same kind of wave in the hyphon crystal, governed by the same wave mechanics, travelling at the speed of light. The crystal picture describes undisturbed space; where enough energy concentrates to disrupt the lattice — inside particles and black holes — the underlying superfluid nature of the medium becomes visible. The proton is a vortex configuration in the hyphon lattice with a bound positron in its core giving it charge +1e. The neutron is the same vortex with an additional bound electron cancelling the charge, plus the electron’s pinned half-winding partner — a frozen antineutrino twist — which supplies the neutron’s spin and forces the antineutrino of beta decay. The electron is a wound defect of the lattice’s orientational sector — a localized winding of the spin axes; the free neutrino is a travelling helical wave of the same sector, the space lattice’s chiral acoustic phonon. Every proton and neutron is a vortex that creates a pressure drop propagating through the crystal as a 1/r field — this is gravity. The hyphons carry enormous base energy, but because it is perfectly uniform, only excitations above it are visible as mass. Charge is the winding itself: same-sense windings overlap constructively and repel, opposite windings cancel and attract; the long-range 1/r interaction follows from harmonic relaxation of the lattice — the same Laplace far field as gravity’s pressure deficit — and the electron’s mass is the stored elastic energy of the winding. The strong nuclear force is the overlapping-flow interaction between borderless nucleon vortices in rock salt ordering. The weak nuclear force is the energy threshold for the electron to escape the neutron’s outer well — beta decay; inside nuclei these electrons delocalize between proton cores and bind them. The framework fits the measured proton and neutron form factors with the same exponential distribution family that describes the hydrogen electron — the two organizations of matter separated by the single scale ratio a0/ƛ_p = m_p/(m_e α) ≈ 2.5 × 10⁵ — and reproduces the neutron’s Galster curve as the difference of two dipoles with one free parameter.

Abstract: The Madelung equations reproduce the Schrödinger equation only when supplemented by the Wallstrom condition of integer circulation, \( ∮_γ p ∈ 2πℏℤ \) for the phase one-form p, which the hydrodynamic equations do not supply: on the positive-density region the circle- and line-valued phase geometries are locally isometric, and explicit finite-energy stationary solutions with arbitrary real circulation exist (Wallstrom; Reddiger–Poirier). We show the condition decomposes into two independent parts, one of which can be derived. The Madelung gradient energy endows the local amplitude–phase value space with the flat polar metric g = dr² + (r²/κ²) dS², r = √ρ, κ = √(8mα), with α the Fisher coefficient. Within a minimal two-dimensional phase-equivariant category we prove that the line cover and circle quotients exhaust the globalizations of this geometry; each has a canonical metric completion adding a single phase-blind point at zero amplitude, and exactly one completion is a smooth Riemannian surface there. Smoothness fixes the phase period uniquely to 2πκ — for the quantum Fisher coefficient α = ℏ²/8m, to 2πℏ — and identifies the completed target with the Euclidean plane ℂ, the wavefunction \( ψ = √ρ e^{iS/ℏ} \) arising as the pullback of its regular Cartesian coordinate. Madelung data that descend to a globally defined scalar field then obey integer circulation by degree theory; fractional-circulation solutions survive locally but fail descent. Target regularity thus fixes the phase period, while integer winding irreducibly requires global scalar descent. Gauge coupling yields the flux-shifted (fluxoid) circulation law, and multiply connected and twisted sectors are delimited explicitly.

Abstract: Existing information-theoretic derivations of quantum mechanics from Fisher informationlack a thermodynamic embedding: they contain no temperature, no entropy, and no free-energy balance, and therefore cannot address the quantum–classical boundary within thesame variational structure. We show that this limitation is removed by a Helmholtz-typefree-energy functional on probability distributions in which Fisher information provides theenergy and relative Shannon entropy, weighted by an effective temperature ϑ, provides theentropic cost. Chentsov’s theorem and the Shore–Johnson axioms constrain this functionalup to two coefficients, one of which is fixed by consistency with the quantum kinetic energy.At ϑ= 0 the functional reproduces the Fisher-information variational principle of Reginattoand Hall–Reginatto; extremisation of the associated action recovers the Schr¨odinger equationvia the Madelung transformation. Quantum mechanics is thereby identified as the zero-temperature fixed point of the Helmholtz structure. The finite-temperature sector ϑ > 0,which has no counterpart in previous approaches, yields three results: a gauge-invariantbalance scale Lc = ℏ/2√mϑ at which both the free-energy descent and the gradient-flowspreading law change character — the spreading exponent crossing over from the quantum-pressure value 1/4 to the diffusive value 1/2 — together with, under harmonic confinement,a genuine variationally stable minimum interpolating between the exact quantum ground-state and classical equipartition widths; a dissipation bound for localisation transitions,derived from a Wasserstein gradient flow with Lyapunov structure, from which Landauer’sprinciple follows as a corollary in the entropy-dominated regime; and a thermodynamicstability property that singles out the Born weights as the unique stable basin fractionsunder the dissipative dynamics, presented as a consistency check.

Abstract: Nuclear Magnetic Resonance (NMR) spectrum, an invaluable tool in the frequency domain, is generated from the Fourier transformation of time-domain NMR signal. Previous research has utilized this method, applying the Fourier transform to data that represents the transient state solution of the improved Bloch NMR fluid flow equation. The current study developed a new resultant spectrum equation designed to enhance the accuracy of the NMR spectrum. Additionally, this research explores how the relaxation times of arterial, venous, and capillary blood affect the area beneath the resultant spectrum (A_r) produced by spinning blood protons. This study employed the Fourier transform to theoretically construct the frequency domain spectrum, while Laplace transform method and Heaviside expansion theorem were used to generate the NMR signals, which are the time-dependent solutions of the improved Bloch NMR fluid flow equations. For the purpose of data processing and visualization, MATLAB and Origin Pro software were employed. The arterial blood simulation results show corresponding values of A_r = 263.48746 Arads^-1m^-1, 261.59038 Arads^-1m^-1, 259.62945 Arads^-1m^-1, and 257.62471 Arads^-1m^-1 respectively at specific input values of arterial blood flow parameter T₁ = 1387 ms, 1419 ms, 1451 ms, and 1483 ms respectively. The simulation results produce values of A_r = 263.54293 Arads^-1m^-1, 281.53685 Arads^-1m^-1 , 299.23162 Arads^-1m^-1 , and 318.59282 Arads^-1m^-1 respectively for arterial blood when the input arterial blood flow parameter is set to T₂ =228 ms, 245 ms, 262 ms, 279 ms respectively. The simulation results produce values of A_r = 185.78128 Arads^-1m^-1, 185.81027 Arads^-1m^-1, 186.25025 Arads^-1m^-1, and 184.71834 Arads^-1m^-1 respectively for venous blood when the input venous blood flow parameter is set to T₁ = 1381 ms, 1461 ms, 1451 ms, and 1486 ms respectively. The simulation results produce values of A_r = 189.30669 Arads^-1m^-1 ,189.25119 Arads^-1m^-1, 220.72525 Arads^-1m^-1, and 236.86291 Arads^-1m^-1 respectively for venous blood when the input venous blood flow parameter is set to T₂ = 158 ms, 173 ms, 188 ms, and 203 ms. The results of simulation for capillary blood show corresponding values of A_r = 10.78129 Arads^-1m^-1, 6.453 Arads^-1m^-1, 5.85084 Arads^-1m^-1, and 5.63595 Arads^-1m^-1 at specific capillary blood flow parameter values of T₁ = 300 ms, 1200 ms, 2100 ms, and 3000 ms respectively. The simulation results produce values of A_r = 10.77763 Arads^-1m^-1, 102.02507 Arads^-1m^-1, 377.54099 Arads^-1m^-1 and 14345.86911 Arads^-1m^-1 respectively for capillary blood when the input capillary blood flow parameter is set to T₂ = 10 ms, 73 ms, 136 ms and 199 ms respectively. These findings indicate that the number of vascular compartments blood protons undergoing spin varies as a result of differences in relaxation times of arterial, venous, and capillary blood during circulation through blood vessels.

Abstract: We construct retained scalar Green functions on a real Lorentzian background \( g_{\mu\nu} \) whose carrier operator has an auxiliary quaternionic-valued principal-symbol coefficient \( \mathcal{G}^{\mu\nu}=g^{\mu\nu}I+\delta\mathcal{G}^{\mu\nu} \). This coefficient is not a spacetime metric or an inverse quaternionic metric. Microscopic \( \mathcal{PT} \) is anti-linear, whereas the retained projector \( P_\Theta=(I+\Theta)/2 \) uses a separate complex-linear grading \( \Theta \). For a faithful representation \( \rho:\mathbb H\to M_2(\mathbb C) \) we prove \( \rho(\mathbb H)\cap\mathrm{Herm}(2,\mathbb C)=\mathbb RI \) and use the genuine quaternionic channel \( W=\rho(e_2) \), for which \( W^\dagger=\Theta W\Theta \) and \( \{\Theta,W\}=0 \). The local doublet symbol has a real-spectrum domain and a positive local-symbol metric witness. Most importantly, the background channel \( \delta\mathcal{G}^{\mu\nu}=E^{\mu\nu}e_2 \) induces the off-block differential operator \( \mathcal{B}W \). Strict projection removes its linear retained block, while exact Schur reduction gives \( \mathcal{D}_{{\rm eff},+}=\mathcal{D}_{++}+\mathcal{B}\mathcal{D}_{--}^{-1}\mathcal{B} \). For \( \mathcal{D}_{--}=\mathcal{K}_--M^2 \) in a local soft/gapped regime, this generates \( \delta\mathcal{D}_{{\rm eff},+}=-M^{-2}\mathcal{B}^2-M^{-4}\mathcal{B}\mathcal{K}_-\mathcal{B}+\cdots \); its frozen principal symbol begins with \( -[E^{\mu\nu}k_\mu k_\nu]^2/M^2 \). Thus a grading-odd quaternionic channel re-enters retained Green-function dynamics at second order as a microscopic-\( \mathcal{PT} \)-even higher-derivative EFT insertion. We match that insertion to ordinary retained scalar propagator and one-loop machinery. Schur reduction and the loop integrals are standard, and no observational result is derived. We construct retained scalar Green functions on a real Lorentzian background with an auxiliary quaternionic-valued principal-symbol deformation. We distinguish microscopic PT from the linear grading and strict projection from Schur reduction, derive the controlled retained effective operator in a local gapped regime, and match it to ordinary retained scalar Green-function and loop machinery. No observational result is derived.

Abstract: This paper formulates Quantum Information Copy Time (QICT) as a relational receiver--spectral closure for quantum information copy time. A receiver is not an observer postulate; it is a finite operational boundary, represented by a quotient algebra and by projectors selecting the degrees of freedom that can be distinguished at that boundary. Imposing receiver distinguishability, fixed-point-free copy opposition, oriented endpoint transport and first-order opposite locality selects the finite algebra \(\mathcal{A}_F \simeq \mathbb{C} \oplus \mathbb{H} \oplus M_3(\mathbb{C})\) and the primitive endpoint denominator \(q = 14\). The neutral Takagi extension gives \(q_\nu = 21\), \(\theta_{13}^{\mathrm{PMNS}} = \pi/21\), a negative leptonic Jarlskog branch and the mass sum \(\sum_i m_i = 0.072810131 \, \mathrm{eV}\). Independent finite-channel contractions generate CKM, electroweak and receiver-reconstruction ledgers with explicit exclusion criteria. Unlike grand-unified or string-theoretic embeddings, the construction does not begin from a simple gauge group, extra dimensions or compactification data; it begins from a finite receiver quotient and derives the internal algebra before numerical comparison. A new prospective signature is predicted: a receiver-null boundary-to-Majorana endpoint echo with quadratic onset, phase maxima \(\pi/21+2\pi a/3\), and period ratio \(3/2\). The continuous completion is obtained from the receiver-constrained Connes--Chamseddine spectral action on the product manifold, with Planck-scale gauge and Higgs boundary conditions fixed by the finite trace seeds and one-loop RG flow connecting them to the infrared. The same primitive phase register also fixes a branch temporal-spatial resolution, \(T_{\rm prim}=\pi\hbar/(21v_Q)\) and \(L_{\rm prim}=cT_{\rm prim}\), with a Ramsey-type test of \(21Et/(\pi\hbar)=1\). The online resources provide derivations, finite traces, determinant and residue calculations, numerical simulations, and audit code.

Abstract: This article formulates Timeless Counterspace and Shadow Gravity within the TCGS–SEQUENTION framework as a type-disciplined source–shadow architecture. The framework posits a complete, non-temporal four-dimensional Counterspace (C4, G, Ψ); a three-dimensional shadow carrier Σ3 whose observables are pullbacks of source structure; a conserved singular set S = Orb(p0); an admissible foliation as geometric readout structure; a foliation label defined only up to monotone gauge reparameterization; operational clock time as a derived shadow functional; and one source-grounded Extrinsic Constitutive Law (ECL). The concept of 4D Counterduction is introduced to prevent two recurrent category errors: identifying Counterspace with (3 + 1)-dimensional spacetime and identifying source–shadow realization with conventional holography. Counterduction neither replaces nor renames Counterspace. Counterspace is the complete source domain; Counterduction is the selector-indexed, ECL-governed relation by which source content becomes operationally readable as a three-dimensional shadow. The qualifier “4D” refers to the dimensionality of the antecedent source, not to an independent Counterduction manifold. A Minkowski-trap firewall further distinguishes a temporal coordinate in Lorentzian representation from a temporal source dimension while retaining Lorentz covariance, invariant intervals, proper-time comparisons, and clock metrology as indispensable shadow-level structures. The formalism separates source configuration, informational organization, complete readability profile, selector-evaluated readout, and physical observable. General Relativity is recovered conditionally through the Baierlein–Sharp–Wheeler/ADM relational route at the shadow level. The static weak-field scalar response is identified with the AQUAL comparison class; its interpolation and transition scale are treated as partially closed rather than uniquely derived; and post Newtonian, lensing, cluster, and cosmological completion are stated as explicit open requirements. The resulting framework is positioned relative to relational gravity, the problem of time, differential geometry, holographic duality, inverse-problem theory, dark-matter phenomenology, modified gravity, and biological constraint theory. TCGS–SEQUENTION thereby functions as a 4D-counterductive research architecture whose governing ontology is kept distinct from every provisional mathematical map and empirical readout.

Abstract: We developed a formulation of classical electrodynamics in the 2T + 3S dimensions without compactifying the extra time dimension. We found an effective electric charge defined by the ratio of the two distinct speeds of causality. We extended the concept to the hadronic Color-Space and postulated that the massless gluon was tied to the second time dimension, with an intrinsic speed different from the speed of light. We applied the theoretical formulations to the e⁺e^- → hadrons experiments and suggested a preliminary estimate of the gluon speed using the R- values.

Abstract: We study the observational identifiability of MOND-like weak-field response dictionaries on the SPARC sample (N_gal = 91, N_points = 1782) under a full within-galaxy covariance likelihood with a learned systematic floor σ_sys. A constrained projected scalar-sector interpretation motivates the matching relation a₀ = εcH₀ and additional structural and cross-scale consistency conditions, without treating SPARC as validation of complete quaternionic gravity.For fixed H₀, that matching is one-to-one on the compared domain, so the PTQ-ν and MOND simple-ν likelihood families are analytically identical; the same reparameterization identity holds for the shared ν_q family. Within the ν_q deformation the best recovered value is q ≈ 0.984, and the present analysis does not require a material departure from the simple-ν limit under AIC. An external thickness audit (N = 19) identifies a robust kinematic–structural association after surface-density control (R² ≃ 0.818), based on a local epicyclic-frequency-like diagnostic κ_kin with dimensions of inverse time. A dimensionally valid map from κ_kin to a dimensionless PTQ geometric efficiency is not established here. Strict cross-scale equality under the selected matching relation and the adopted Ω_Λ(ε) diagnostic map fails (ε_RC ≈ 0.155 versus ε_cos ≈ 1.492). A dimensionless structural bridge that could mediate the mismatch is not established here. The paper’s contribution is therefore a constrained observational interface for PTQ-motivated weak-field phenomenology, with clear targets for future theory derivation.

Abstract: This paper presents an expanded biological foundation for SEQUENTION within TCGS--SEQUENTION. Standard evolutionary biology is retained as an effective shadow-level account of mutation, recombination, selection, drift, development, ecology, and phylogenetic history. The framework-level question is different: how do biological structures become readable as ordered histories when the complete source architecture is non-temporal? The answer is formulated through 4D-Counterduction, the selector-indexed, Extrinsic-Constitutive-Law-governed realization by which complete four-dimensional Counterspace content becomes operationally legible in a three-dimensional biological shadow. Biological 4D-Counterduction neither replaces nor renames Counterspace: Counterspace remains the complete source ontology, whereas Counterduction names only the biological source-to-shadow realization. The qualifier ``4D'' refers to the source from which the realization proceeds and does not grant Counterduction independent source content or manifold status. The term is introduced to prevent biological source--shadow structure from being mistaken for either three-plus-one-dimensional spacetime or conventional holography. A biological Minkowski-trap firewall further distinguishes the geometric foliation of admissible biological readouts, its reparameterizable gauge label, and operational ages, generation counts, stratigraphic coordinates, and laboratory durations. Their use in successful biological models does not grant time source dimensionality. We type the biological ECL as a source-grounded map, a complete readability profile, and a selector-evaluated readout; the biological immersion, foliation class, corridor data, and domain projector select a readout but do not add source content. On the observable genotype--phenotype--environment state space, a scalar informational-flux reduction and a tensorial generalization are retained as map-level reductions, not teleological forces or reductions of biology to gravity. The associated biological potential, mobility function, and embedding scale remain map-level quantities rather than independent source primitives. Nine candidate biological invariants are formalized: convergence curvature, developmental path length, morphospace endpoint stability, canalization-basin topology, modular perturbation invariance, minimum-description-length complexity, lineage-invariant developmental curvature, source-tracing singular markers, and a chart-stable multifractal crossover scale. The Chicxulub isotope distinction, multifractal geological-time analysis, deterministic nonlinear dynamics, scale-free collective correlations, and finite-resource origin-of-life analyses are treated as methodological or empirical anchors of specific distinctions within the governing source ontology. Every proposed invariant, kernel, scale, and reduction is assigned an operational estimator and a failure condition. The resulting formulation is a non-vitalist, non-anthropomorphic, and empirically accountable theory of counterduced biological organization in which time, chance, and directionality remain valid shadow-level descriptions without becoming source-level substances.

Abstract: We present a fully self-contained derivation of the Standard Modelgauge structure from operational axioms on a quantum-informationreceiver. A receiver that must distinguish two source preparationsmodulo a fixed-point-free involutive opposition is shown to requirea minimal contour graph. Requiring a faithful three-class endpointquotient—motivated by the three observed colors of QCD and thethree generations of fermions—forces the minimal contour to be thecycle C₆ = Z/6Z. The six orientations of C6 induce six candidatespectral projections onto Z3. Four explicit admissibility conditions(opposition separation, forward transport, receiver faithfulness, andnon-degenerate flavour lifting) reduce these to the arithmetic towerq = 2(6n+ 1). The smallest non-degenerate value, q = 14 (r= 7), isselected by a minimality principle on the boundary carrier dimension.This primitive projection yields the finite algebra C⊕H⊕M3(C), whichcoincides with the noncommutative-geometry Standard Model algebra.We write the explicit Standard Model Lagrangian derived from thespectral action on this algebra. The five non-primitive projectionscorrespond to dormant sectors: a left–right symmetric extension, aU(1)-stripped sector, and a Pati–Salam SU(4) sector. The SU(4)sector necessarily contains a sequential fourth generation of quarksand leptons together with vector leptoquarks. We estimate their massrange from perturbative unitarity and electroweak naturalness, andformulate precise, quantitative falsification conditions for the FCC-hh.All assumptions are stated explicitly; no prior knowledge of the QICTprogramme is required.

Abstract: The fine-structure constant is usually treated as an empirical dimensionless coupling of quantum electrodynamics. This paper proposes a different interpretation: \(\alpha^{-1}\) is a universal geometric capacity of the neutral-parent structure from which electromagnetic read-out becomes possible. In this view, branch-level electric charge is not primitive; it is an oriented read-out of a resolved defect, while magnetic response is a loop-level holonomy read-out of the completed neutral parent. A neutral object may therefore have no net electric charge while still possessing magnetic holonomy capacity. The leading neutral-parent capacity is formulated as the stratified Haar capacity \[ \Omega_{P_0} = (2\pi)(2\pi^2)+\frac12(2\pi^2)+\frac12(2\pi) = 4\pi^3+\pi^2+\pi , \] with the product term representing the coupled \(U(1)\)-phase and \(SU(2)\)-spinorial interior and the half-weight terms representing marginal boundary strata of the unresolved parent. The novelty of the proposal is not the isolated leading expression, but its interpretation as a neutral-parent magnetic capacity and its embedding into a constrained carrier-interface correction hierarchy. The first self-exposure correction from the ordered Z₃ → Z₄ interface contributes \(-1/(24\Omega_{P_0})\), and the reduced magnetic Z₄ → Z₅ cross-interface transfer contributes \(-7/(5\Omega_{P_0}^{3})\). Thus \[ \alpha^{-1}_{geom} = \Omega_{P_0} - \frac{1}{24\Omega_{P_0}} - \frac{7}{5\Omega_{P_0}^{3}} = 137.0359991761696 . \] This differs from the CODATA 2022 value \(\alpha^{-1}_{\rm CODATA}=137.035999177(21)\) by approximately \(-8.3\times 10^{-10}\), corresponding to about \(-0.04\sigma\). The same adjacent-interface logic gives a rule-defined higher-order continuation, with successively suppressed terms at orders \(\Omega_{P_0}^{-5},\Omega_{P_0}^{-7},\ldots\). These terms are not introduced as fitted improvements, but as a conditional consistency check and as quantitative targets for future higher-precision measurements of \(\alpha^{-1}\). The result is presented as a structural conjecture: the leading capacity is formulated as a stratified Haar capacity, while a complete carrier-defect theorem for the interface corrections and their all-order persistence remains an open task.

Abstract: Physics describes evolution, causal structure, and measurement outcomes, but lacks an accepted physical account of why one outcome-conditioned quantum situation is actual as the present. This article develops a conditional account within the reconstruction program, which places a premetric selection layer prior to spacetime dynamics. The Indefinite Reconstruction Stability Principle requires identities and readable relations to survive admissible continuation and to ignore unobservable distinctions. A present is proposed to be the outcome-conditioned quantum read-out of an IRSP-stable, history-bearing reconstruction boundary. Because the underlying relational record need not factorize, its read-out is generally entangled rather than a classical instantaneous configuration. Admissible successors are represented by a quantum instrument; present actualization postulates that one stable record sector becomes definite with its conditional probability, without an external observer. An explicit event-identity bridge identifies operationally equivalent realizations of the same descended event, and observable descent then makes its weight independent of reconstruction representative and unread embedding context. Given positivity, normalization, exclusive additivity, and a Hilbert-space read-out, Gleason representation fixes the Born form. Linear history composition implies no genuine third-order successor interference. Proper inheritance of the complete ancestry class supplies a conditional acyclic reconstruction order, stable small-step channels recover standard effective dynamics, and spacelike confluence replaces a preferred global simultaneity surface. The result is a conditional quantum architecture of present actuality and becoming, with explicit premises and failure conditions but no fitted collapse rate.

Abstract: We present a compact, parameter-free expression for the inverse low-energy fine-structure constant, α⁻¹(0) = 4π³ + π² + π - 1/(32π⁴) + 1/(64π⁶). It evaluates to 137.035 999 216 and agrees with the 2020 LKB precision rubidium-recoil measurement to 7.6 × 10⁻¹¹ in relative terms (<1σ). The expression is not an arbitrary construction, but emerges as the static transverse electromagnetic susceptibility derived from the relative-entropy Hessian of a published, finite-resolution, background-independent causal-diamond framework, whose spectral modular history is the canonical S³ × S¹. Its four terms represent the bulk history volume, spin-twist, waist gluing and six-direction tip defect. This note isolates the result for better discovery, independent verification, comparison and criticism. The numerical agreement is a postdiction; it does not by itself prove uniqueness or establish a physical derivation of α.

Abstract: We prove the Wave Function Identity (WFI), a new symmetry constraint on the solutions of the Schrödinger-Pauli equation for the Coulombically interacting N = 3 electron 2-dimensional harmonically bound ‘artificial atom’ or quantum dot in a uniform magnetic field. The symmetry is comprised of an interchange of the spatial coordinates of two electrons whilst keeping their spin moments unchanged, followed by an inversion of all three electron coordinates. The proof is achieved by first deriving the general form of the exact correlated wave function in the high-electron-correlation Wigner regime and then proving the WFI employing this form for a quartet state. The satisfaction of the Pauli principle (PP) and the odd parity of this state are also proved. An exact closed-form analytical expression for a quartet state in the Wigner regime is derived, and the properties of the PP, WFI, parity and other properties exhibited diagrammatically. Together with our prior proof of the WFI for the N = 2 electron case, we propose ad hoc the validity of the WFI for all bound-state N ≥ 2 electron systems for arbitrary symmetric binding potential, arbitrary electron-interaction of the form ω(|r – r’|) and arbitrary dimensionality.

Abstract: This paper is a bottom up attempt to incorporate the standard model and general relativity in a unique quantum field theory. The tentative model presented here in particular is free of chiral gauge and gravitational anomalies that appear in the divergence of currents, and in the divergence and trace of the energy-momentum tensor when the SM matter couples to gravity. The fermion spectrum is composed of two multiplets, the SM (left) multiplet and a mirror copy (right) with opposite handedness. The right multiplet is interpreted as describing the dark matter world. The natural symmetry of the theory is enlarged to incorporate also Weyl invariance, by introducing one or more dilaton fields. After the cosmological and theoretical motivations, the necessary formalism is introduced for algebraic renormalization: gauge fixings, ghosts, propagators and vertices and their interplay in garanteeing the conditions for convergence of the subtracted amplitudes according to the BPHZL scheme, the Slavnov-Taylor identity and the relevant enlarged BRST symmetry. The corresponding (conformal) cohomology is analyzed and found to be trivial: there are no non-trivial even trace anomalies in theories with dilatons, but there are plenty of trivial ones, which require corresponding counterterms in the effective action. It is shown that such counterterms can play an important role in freeing the theory of unphysical particles.

Abstract: Why do the laws represented by the Standard Model and general relativity have their observed forms, why do their particular symmetry groups govern physical interactions, and why do particular constants and ratios enter them? The reconstruction program proposes that these laws, symmetries, and numerical parameters originate in a premetric selection layer logically prior to dynamical evolution in time. Earlier applications showed that invariant reconstruction structures can produce quantitative predictions for constants and particle ratios. This article develops the complementary laws side of the program. Reconstruction is not proposed as a replacement for the Standard Model or general relativity. Its role is to select persistent physical identities and a shared read-out platform—a structured, non-empty vacuum support equipped with the causal geometry, phase-comparison structure, and internal-comparison data on which those effective theories operate. The Indefinite Reconstruction Stability Principle ("IRSP") requires protected identities and readable relations to survive every admissible continuation and requires physical conclusions to be independent of arbitrary unread choices. A single neutral parent, understood as a common premetric archetype rather than an additional particle, organizes the resulting read-out channels. For a localized identity to qualify as physically existent, IRSP requires it to remain readable from its complement through a primitive closed detector; together with the primitive-loop and smooth-holonomy bridges, this existence condition selects codimension-two loop-readable structure and a local U(1) connection. The central geometric result is then the conditional selection of a (3 + 1)-dimensional Lorentzian read-out platform. Continuum IRSP and full-dimensional reciprocal response select Lorentzian signature and one temporal direction, while the resulting curvature two-form and conformal descent independently fix the total spacetime dimension to four. On the selected platform, gauge invariance and nativeness yield a source-free Abelian Maxwell law, while readable metric scale yields Einstein–Hilbert dynamics at leading order. A separate conditional internal 3 + 2 read-out selects the global Standard Model gauge group SU(3) × SU(2) × U(1) with its maximal Z6 quotient. Laws and constants thereby become complementary outputs of one prior architecture, while the Standard Model and general relativity remain the indispensable effective theories after read-out.

Abstract: Nonlinear superposition of solitons provide almost linear branches as well as “quantum jumps" to stable particle-like cores. Can the quest for possible nonlinearity of quantum mechanics and the “collapse paradox" of the wave function in (non-)linear quantum mechanics be resolved by transitions between different quasi-linear branches of the corresponding Whitney surface? (In memoriam of Carl Brans 1935 -2026).

Abstract: We study closed timelike curves (CTCs) in a cylindrically symmetric, stationary, axisymmetric spacetime within the Arnowitt--Deser--Misner (ADM) \( 3{+}1 \) decomposition, coupled to Einstein--Dirac--Maxwell (EDM) fields. The central observation of this work is that CTC formation is \emph{not} automatically incompatible with positive ADM energy. Beginning from the ADM Hamiltonian constraint, we prove rigorously that the ADM energy \( E \geq 0 \)for hyperbolic shift vectors of the form \( N_i = \partial_i \gamma \), yielding \( N_i = \partial_i \gamma \). The cylindrical metric admits CTCs when the coefficient \( R(r) < 0 \), a condition we translate into an explicit inequality on the determinant of the \( (t,\varphi) \) block of the metric. For the Einstein--Dirac--Maxwell system we compute the conserved Noether charge \( \QN \) and derive the critical ADM energy\( \Ecrit(\alpha, \QN) \) above which CTCs form in a tubular neighborhood of the Tipler cylinder. The quantum backreaction on the metric, encoded in the renormalized stress tensor \( \Tren \), produces a vacuum polarization (VP) distortion \[ \omega g^{\mathrm{VP}}_{\mu\nu} \;\sim\; \frac{\lPl^2}{D\,\Delta t}\sum_{n=1}^{\infty}\!\left(\frac{\delta}{2D}\right)^{\!n-1}, \] which converges absolutely for \( \delta < 2D \) to the closed-form value \( \lPl^2/(D\,\Delta t) \cdot 2D/(2D-\delta) \). We show this backreaction is consistent with, but does not by itself prove, Hawking's chronology protection conjecture. The Weak Energy Condition is satisfied globally by the ADM energy bound; local WEC violation is nevertheless required in a neighborhood of any Cauchy horizon where CTCs first form, in agreement with the Average Null Energy Condition analysis of Tipler-type spacetimes.