I present a mathematically consistent framework in which a single light scalar field Φ generatescorrelated signatures across quantum tunneling, spin-dependent interactions, and decoherence. Alleffects are derived from a single effective Lagrangian without ad hoc insertions. The frameworkuses a dimensionless coupling g to a density operator OˆS (mass dimension 3), ensuring dimensionalconsistency across all three regimes. The effective 1D tunneling potential is obtained by explicittransverse projection of the 3D interaction, eliminating phenomenological reduction factors. Mean-field validity is justified in the high-density regime where quantum fluctuations are suppressed by1/√nmV . In tunneling systems, the force is derived from the potential gradient F = −R|ψ|2∂xV dx,independent of stress-tensor ambiguities. To leading order in g and in the absence of operator mixing,both ∆P/P0 and the decoherence rate γ scale as g2, establishing ∆γ/γ = ∆(P/I)/(P/I) as a directtest of the shared coupling structure. Renormalization group flow connects the couplings throughδg/g = β0 δc/c with β0 = 2/3 in a minimal UV completion and β0 = O(1) generically. Eliminatingparameters yields the falsifiable prediction ∆(P/I)/(P/I) = β0 · ∆(c2/Λ2)/(c2/Λ2) = ∆γ/γ. Ipresent a multi-platform protocol with NEMS, spin sensors, and superconducting qubits, usingnuclear spin polarization as the common modulation. The key experimental observable is notthe absolute signal magnitude but the cross-regime correlation structure, which is robust againstindependent backgrounds. A deviation from the predicted scaling would directly falsify the unifiedframework.
I present a mathematically consistent framework in which a single light scalar field Φ generatescorrelated signatures across quantum tunneling, spin-dependent interactions, and decoherence. Alleffects are derived from a single effective Lagrangian without ad hoc insertions. The frameworkuses a dimensionless coupling g to a density operator OˆS (mass dimension 3), ensuring dimensionalconsistency across all three regimes. The effective 1D tunneling potential is obtained by explicittransverse projection of the 3D interaction, eliminating phenomenological reduction factors. Mean-field validity is justified in the high-density regime where quantum fluctuations are suppressed by1/√nmV . In tunneling systems, the force is derived from the potential gradient F = −R|ψ|2∂xV dx,independent of stress-tensor ambiguities. To leading order in g and in the absence of operator mixing,both ∆P/P0 and the decoherence rate γ scale as g2, establishing ∆γ/γ = ∆(P/I)/(P/I) as a directtest of the shared coupling structure. Renormalization group flow connects the couplings throughδg/g = β0 δc/c with β0 = 2/3 in a minimal UV completion and β0 = O(1) generically. Eliminatingparameters yields the falsifiable prediction ∆(P/I)/(P/I) = β0 · ∆(c2/Λ2)/(c2/Λ2) = ∆γ/γ. Ipresent a multi-platform protocol with NEMS, spin sensors, and superconducting qubits, usingnuclear spin polarization as the common modulation. The key experimental observable is notthe absolute signal magnitude but the cross-regime correlation structure, which is robust againstindependent backgrounds. A deviation from the predicted scaling would directly falsify the unifiedframework.
I develop a fully self-consistent open quantum sys-tems framework demonstrating that vacuum fluc-tuations of a light scalar field induce universal,temperature-independent decoherence in mesoscopicquantum systems. Starting from a microscopicsystem-field Hamiltonian, I derive a Lindblad mas-ter equation under physically justified Born-Markovapproximations. Ultraviolet regularity is enforcedvia an exponential cutoff Λc representing the fi-nite spectral response of the physical system, yield-ing a regularized vacuum spectral density SΦ(ω) =(ω/2π2)e−ω/Λc. The resulting decoherence ratescales quadratically with the system’s characteristicenergy, γ ∝ g2ω2, a prediction that is parameter-free when expressed as a ratio across different systemfrequencies. I propose a concrete experimental proto-col spanning two platforms—superconducting qubitsand graphene-based mesoscopic devices—and iden-tify a triple smoking-gun signature (quadratic fre-quency scaling, quadratic Fermi-energy scaling, andtemperature independence) that no standard noisemodel can simultaneously satisfy. Simulated exper-imental signatures are presented, demonstrating themeasurability of the predicted effects in current andnear-term devices
We derive from first principles the magnetic field dependence of quantum decoherence rates in materials with strong spin-orbit coupling (SOC) within the Constitutive Quantum Field Theory (TCFQ) framework. TCFQ proposes that spacetime geometry emerges from the elastic response of a fundamental phase field Φ with universal rigidity β = 1/4, anchored to the spectral stability of Riemann’s zeta function. A critical consequence is that quantum decoherence includes an irreducible contribution from the Constitutive Field Classical Analog (CFCA), a fundamental bath with characteristic frequency γ_0 ≈ 1.6 GHz. Starting from the full Lagrangian with non-minimal coupling ξΦ^{2}R, we obtain an explicit expression for the field-dependent decoherence parameter α_B = (λSOC/vF)^{2}(geµB/EF)^{2} without free parameters. For Bismuth, the theory predicts α_B^{Bi} ∼ 1.2 ×10^{−5}, while for Rubidium (control) α_B^{Rb} ∼ 3 ×10^{−9}—a factor 4 ×10^{3} difference arising solely from electronic band structure. We propose a definitive experimental test using spin-echo spectroscopy with AC lock-in detection of the modulated decoherence rate δ_{γAC} under oscillating magnetic field. The measurement is viable at T < 100 mK with signal-to-noise ratio ∼ 1.5 after 5 days integration, providing the first quantitative falsifiable prediction of TCFQ at laboratory scales. A null result would establish an upper bound α_B < 10^{−7}, constraining the coupling between matter and the constitutive phase field. We invite experimental collaboration to realize this measurement.
This paper develops the first experimental test of the representational framework introduced in Papers 1–14. Building on the coherence dynamics derived in Paper 14 and the regime structure established in Paper 13, it identifies a measurable deviation from standard quantum mechanics arising from the coherence‑dependent dissipation rate γ(c)=γ0e−βc. The paper shows that this exponential form is not an arbitrary ansatz but the minimal monotone function compatible with the structural and phenomenological constraints of the framework. Using a superconducting flux‑qubit architecture, the work derives the predicted tunneling suppression, specifies the observable signatures, and identifies the parameter regimes in which the deviation becomes experimentally accessible. The analysis demonstrates robustness under alternative dissipation laws and under controlled environmental noise. With this paper, the representational programme completes its transition from conceptual reinterpretation to empirical testability, providing a concrete experimental pathway for probing the coherence dynamics at the core of Postulate P1.
We present the Dynamical Scalar Field Theory (DSFT), a complete and self- consistent framework that explains quantum entanglement as a topological remnant of the pre-Big Bang Euclidean phase. In this theory, entanglement is not a nonlocal correlation but a geometric property of spacetime: two entangled particles are connected by a static topological soliton (phase-locking filament) within which the effective metric becomes Euclidean (Ω = 0, dt = 0), rendering spatial separation meaningless. We derive the full Lagrangian from first principles, including non-minimal cou- pling to matter (ξϕ2ρm) and curvature (αϕ2R), and demonstrate the existence of stable soliton solutions via the Bogomol’nyi bound. The decoherence process is identified as a sudden geometric phase transition (Ω : 0 → 1) occurring on the Planck time scale (∼ 10−43 s), independent of spatial distance. A detailed numerical analysis resolves previous dimensional inconsistencies: the correct prediction for the soliton response time is τresp ≈ 5.4 × 10−42 s, not 85 as. The attosecond time scale can be recovered only by introducing a perturbative term γϕ˙2ϕ 2 with γ ∼ 1050, which acts as a dynamical slowing mechanism. We further derive a dynamic cancellation mechanism via α(ϕ) that maintains soliton stability across a wide range of matter densities. Our model predicts FQ ∼ 1049 for a macroscopic crystal at T ∼ 10 K, in quantitative agreement with the recent Nature Physics observation of multipartite entanglement in the strange metal CePdSi (Mazza et al., 2026). The framework offers seven distinct predictions, five of which are experimentally testable with current or near-future technology. This work establishes DSFT as a mathematically rigorous, falsifiable theory that bridges quantum information, condensed matter, and gravitational physics, providing a physical mechanism for entanglement without violating causality or Lorentz invariance. https://doi.org/10.5281/zenodo.20724433 New version of this DOI
We present a complete theoretical framework—Dynamical Scalar Field The- ory (DSFT)—that explains quantum entanglement as a topological remnant of the pre-Big Bang Euclidean phase. Unlike standard quantum mechanics, which treats entanglement as a nonlocal state reduction, DSFT provides a physical mechanism: two entangled particles are connected by a static topological soliton (phase-locking filament) within which the effective metric is Euclidean (dt = 0) and the crystal- lizing function vanishes (Ω = 0). Decoherence corresponds to a sudden geometric phase transition (Ω : 0 → 1) occurring over ∆tjump = 85.2 ± 0.4 attoseconds— independent of spatial distance. We derive the complete Lagrangian from first principles, including non-minimal coupling to matter (ξϕ2ρm) and curvature (αϕR), and establish the existence of stable soliton solutions via Bogomol’nyi bounds. Numerical simulations of the Lind- blad master equation, including DSFT-specific decoherence terms, confirm a 2-fold enhancement of qubit coherence time through a controlled resuscitation protocol (Prediction #5). We formulate seven distinct, falsifiable predictions, each supported by closed-form analytic expressions, numerical simulations with error bars, and an ex- perimental roadmap with Technology Readiness Levels (TRL) and cost estimates. These predictions span: (1) a constant gravitational repulsive force between en- tangled particles; (2) attosecond phase echoes under sub-threshold stimulation; (3) pair production at the Ω = 0.5 metric transition (analog black holes); (4) cascade decoherence in multi-qubit systems; (5) entanglement resuscitation via counter- pulses; (6) Planck-stepped Hawking radiation with ∆f = 1.17 × 1016 Hz; and (7) non-Coulombic electron deflection in STEM. The framework is self-consistent, uses only Planck-scale parameters (ϕ0, λ, ξ), and its predictions align quantitatively with unexplained noise in IBM/Google qubits (Pthermal = 2.36 × 10−4 W) and attosecond time delays in Max Planck photoionization data (85 as). We propose a definitive experimental protocol for Prediction #5 with pass/fail criteria, including hardware design for a 10 as pulse generator via high-harmonic generation, timing synchronization with 10−18 atomic clocks, and a cost-benefit analysis showing ROI within 4.5 years for large-scale quantum processors.
Closed-form derivation of the coincidence tunneling probability for spin-entangled particle pairs traversing spin-dependent barriers. The central result P_coinc(φ,γ) decomposes into incoherent background plus coherent interference modulated by cos(φ + 2Δθ), where Δθ is the differential tunneling phase — a barrier property invisible to single-particle measurements but directly observable through entanglement. Numerical predictions for Co/Al₂O₃/Co magnetic tunnel junctions yield coincidence visibility >90% and modulation ratio R > 10⁴. Three experimental proposals: magnetic tunnel junctions with Cooper pair splitting, frustrated total internal reflection with photon pairs, and cold atoms in optical lattices. Paper IV of VII in the Δ-Gate theoretical core. Part of the Δ-Gate Formalism (DOI: 10.5281/zenodo.19103765). , , , , , , ,