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.
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.
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.
Quantum degenerate gases have proven to be an ideal platform for the simulation of complex quantum systems. Due to their high level of control it is possible to readily design and implement systems with effective Hamiltonians in the laboratory. This thesis presents new tools for the characterization and control of engineered quantum systems and describes their application in the realization of a topological system with Rashba-type spin-orbit coupling. The underlying properties of these engineered systems depend on their underlying energies. I describe a Fourier transform spectroscopy technique for characterizing the single particle spectrum of a quantum system. We tested Fourier spectroscopy by measuring the dispersion relation of a spin-1 spin-orbit coupled Bose-Einstein condensate (BEC) and found good agreement with our predictions. Decoherence due to uncontrolled fluctuations of the environment presents fundamental obstacles in quantum science. I describe an implementation of continuous dynamical decoupling (CDD) in a spin-1 BEC. We applied a strong radio-frequency (RF) magnetic field to the ground state hyperfine manifold of Rubidium-87 atoms, generating a dynamically protected dressed system that was first-order insensitive to changes in magnetic field. The CDD states constitute effective clock states and we observed a reduction in sensitivity to magnetic field of up to four orders of magnitude. We additionally show that the CDD states can be coupled in a fully connected geometry and thus enable the implementation of new models not possible using the bare atomic states. Finally, I describe a new realization of Rashba-type SOC using Raman coupled CDD states. Our system had non-trivial topology but no underlying crystalline structure that yields integer valued Chern numbers in conventional materials. We validated our procedure using Fourier transform spectroscopy to measure the full dispersion relation containing only a single Dirac point. We measured the quantum geometry underlying the dispersion relation and obtained the topological index using matter-wave interferometry. In contrast to crystalline materials, where topological indices take on integer values, our continuum system reveals an unconventional half-integer Chern number.
We present a laboratory-constrained phenomenological framework linking controlled quantum coherence experiments to large-scale cosmological observables. Using experimental results from superconducting qubits subjected to structured low-frequency toroidal magnetic fields, we define a dimensionless coherence proxy, κ_lab = 0.728 ± 0.020, which captures both temporal decoherence suppression and spatial field uniformity. This observable is derived directly from measured enhancements in qubit relaxation time (T1), without modification to materials or circuit design. We then introduce a calibrated laboratory-to-cosmology bridge, mapping κ_lab into an effective coupling parameter within a coherence-driven cosmological framework. This mapping enables a quantitative pre-data prediction for an environmental modulation of the Hubble expansion rate:ΔH0/H0 = 0.73^{+0.21}_{-0.18}%,for the benchmark regime m_φ ~ H0 and α = 1. The key contribution of this work is not the assumption of a confirmed cross-scale mechanism, but the construction of a transparent and falsifiable bridge between a laboratory-measured coherence observable and a cosmological testable quantity. The prediction lies within the sensitivity range of DESI Year 3, enabling a clear binary test: • Detection of a ~0.5–1.0% environmental step supports the viability of scale-bridging coherence dynamics.• A null result constrains the phenomenological bridge while preserving the laboratory result as an independent demonstration of environmental coherence engineering. This approach establishes a new paradigm in which controlled quantum systems can serve as quantitative anchors for testing phenomenological extensions of large-scale physics, connecting laboratory coherence and cosmological expansion in a falsifiable framework.
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.
This work is the third paper in the MonoField Theory programme, a unified classical field framework based on a single field Φ:R3,1→S3\Phi: \mathbb{R}^{3,1} \to S^3Φ:R3,1→S3. It derives concrete decoherence predictions for mesoscopic matter-wave interferometry by treating localized topological solitons (“twists”) as matter and small-amplitude wave modes (“ripples”) as the environment. Starting from the MonoField Lagrangian, the paper constructs an explicit system–bath coupling, obtains a visibility law logV(Δx)≈−Γ2(Δx)2−Γ4(Δx)4\log V(\Delta x) \approx -\Gamma_2 (\Delta x)^2 - \Gamma_4 (\Delta x)^4logV(Δx)≈−Γ2(Δx)2−Γ4(Δx)4, and ties the nonlinear scale Δxnl∼Rtwist\Delta x_{\rm nl} \sim R_{\rm twist}Δxnl∼Rtwist directly to the microscopic soliton radius. The same parameter combination λm2/F2\lambda m^2/F^2λm2/F2 that controls calm-mode gravity in Paper II also fixes the interferometric decoherence scale, making gravity and mesoscopic interferometry jointly constrain the MonoField parameter space.
Note on Theoretical Context and Terminology: The mathematical formulations and notations presented in this version reflect an earlier stage of development. In subsequent works and theoretical revisions, all concepts previously referred to under localized personal naming conventions (e.g., specific individual equations or theories) have been formally standardized and integrated under the unified framework of the Stochastic Decoherence Model. Readers are advised to interpret the underlying velocity-dependent decoherence mechanisms, stochastic differential equations, and cosmological implications within this updated conceptual framework. This preprint presents a hypothesis of material-dependent quantum decoherence within an emergent information-based framework. The work derives quantitative predictions for coherence-time ratios between crystalline and amorphous forms of several materials, including silicon, carbon and silica. The central prediction is that structural disorder enhances intrinsic decoherence through material-dependent coupling parameters linked to experimentally measurable dielectric response functions. Unlike standard quantum mechanics and conventional mass-based collapse models, the framework predicts measurable differences between materials of identical chemical composition but different structural order. The proposed effects are experimentally testable using optomechanical resonators, nanomechanical oscillators and matter-wave interferometry. The manuscript explicitly discusses limitations, open theoretical questions and falsification criteria, and is intended as a contribution to ongoing research on quantum foundations, decoherence and collapse models. The author welcomes constructive feedback, criticism and potential collaboration from researchers interested in quantum foundations, decoherence theory, condensed matter physics and precision quantum experiments.