Radial Coherential Dynamics (RCD) posits a scalar coherence field 𝒞 whose deco- herence drives phenomena from quantum circuit noise to cosmological dark energy. Two mature but disconnected modules exist: (i) a cross-platform analysis of GHZ state fidelity under dephasing-dominated noise, where a Lindblad model with local and col- lective dephasing channels produces a crossover at 𝑁⋆ ≈ 𝛾local/𝛾𝑐; and (ii) a cosmo- logical effective field theory in which a Caldeira–Leggett bath stabilizes a hilltop dark energy potential, with effective coefficients derived from an Ohmic spectral density parametrized by (𝜂, 𝜆, ΛUV). Here we construct a minimal phenomenological bridge between these modules by introducing a single dimensionless parameter 𝜀 ≡ 𝛾𝑐/𝛾local — the fraction of collective-to-local noise — and proposing, as an explicit ansatz, that 𝜀 is approximately scale-invariant. Under this ansatz, the laboratory measurement 𝑁⋆ ≈ 15–20 on IonQ Forte fixes 𝜀 ∈ [0.05, 0.07], which constrains the cosmological bath coupling 𝜂𝜆 to a narrow window. Conversely, the cosmological requirement of controlled backreaction imposes an upper bound 𝜀 < 𝜀max, predicting a lower bound 𝑁⋆ > 1/𝜀max testable in future multi-qubit experiments. For the benchmark param- eters of the HDE series, the three conditions (stabilization, backreaction, and QC data) overlap in the narrow window 𝜀 ∈ [0.05, 0.07], yielding a dark energy equation of state 𝑤0 ≈ −0.987, consistent with current DESI constraints. The bridge is explic- itly falsifiable: non-overlapping 𝜀 windows from QC and cosmology would refute the universal noise ansatz independently of the validity of either module.
Radial Coherential Dynamics (RCD) posits a scalar coherence field 𝒞 whose deco- herence drives phenomena from quantum circuit noise to cosmological dark energy. Two mature but disconnected modules exist: (i) a cross-platform analysis of GHZ state fidelity under dephasing-dominated noise, where a Lindblad model with local and col- lective dephasing channels produces a crossover at 𝑁⋆ ≈ 𝛾local/𝛾𝑐; and (ii) a cosmo- logical effective field theory in which a Caldeira–Leggett bath stabilizes a hilltop dark energy potential, with effective coefficients derived from an Ohmic spectral density parametrized by (𝜂, 𝜆, ΛUV). Here we construct a minimal phenomenological bridge between these modules by introducing a single dimensionless parameter 𝜀 ≡ 𝛾𝑐/𝛾local — the fraction of collective-to-local noise — and proposing, as an explicit ansatz, that 𝜀 is approximately scale-invariant. Under this ansatz, the laboratory measurement 𝑁⋆ ≈ 15–20 on IonQ Forte fixes 𝜀 ∈ [0.05, 0.07], which constrains the cosmological bath coupling 𝜂𝜆 to a narrow window. Conversely, the cosmological requirement of controlled backreaction imposes an upper bound 𝜀 < 𝜀max, predicting a lower bound 𝑁⋆ > 1/𝜀max testable in future multi-qubit experiments. For the benchmark param- eters of the HDE series, the three conditions (stabilization, backreaction, and QC data) overlap in the narrow window 𝜀 ∈ [0.05, 0.07], yielding a dark energy equation of state 𝑤0 ≈ −0.987, consistent with current DESI constraints. The bridge is explic- itly falsifiable: non-overlapping 𝜀 windows from QC and cosmology would refute the universal noise ansatz independently of the validity of either module.
The MMA–DMF framework connects cosmological “dark sector” phenomenology with quantum-foundational phenomena by treating a single screened scalar field as both a mediator of large-scale modified gravity and a stochastic vacuum bath responsible for gravitational decoherence. This paper consolidates the full, dated MMA–DMF validation record contained in the project materials (with an audited, frozen parameter set) and reports the complete test suite relevant to uncertainty and decoherence: (i) a strict Fluctuation–Dissipation Theorem (FDT) stability test for the Generalized Langevin Equation (GLE) memory kernel, which passes an energy-drift criterion of |slope| < 10−5 in long integrations; (ii) a dynamic contextuality roll-off test in which the CHSH Bell parameter transitions from the Tsirelson value S ≈ 2.828 at quasi-static settings to the classical bound S → 2 under fast modulation, quantified by explicit frequency-dependent suppression formulas; and (iii) a T-MAGIS atom-interferometry campaign prediction in which a density-modulated environment produces a detectable contrast loss ∆V ≈ 3.4 × 10−3 to 4 × 10−3 under representative configurations, with a tabulated scaling versus distance and interrogation time and a shot-noise sensitivity forecast yielding high signal-to-noise for hour-scale integration. We also summarize MMA–DMF-linked phenomenology across scales, including a joint cosmological likelihood structure with cross-covariance correction and representative reported values (H0, S8) ≈ (72.1 km s−1 Mpc−1, 0.761), plus a gravitational-wave echo delay estimate of ∆techo ≈ 32 ms for stellar-mass systems. The combined record constrains MMA–DMF by demanding simultaneous thermodynamic consistency of the stochastic sector, a controlled transition from contextual to classical correlations under finite response time, and a falsifiable laboratory decoherence signature under controlled density modulation
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.
Standard quantum mechanics separates unitary time evolution from non-unitary measurement collapse, creating a severe foundational bottleneck when applied to closed cosmological systems where no external classical observer exists to collapse primordial quantum fluctuations. Simultaneously, modern cosmology faces unexplained dark-sector anomalies, including dark energy, dark matter, and Hubble/structure growth tensions. In this paper, we establish the Dynamical Quantum Measurement and Cosmological Quantum-to-Classical Transition (DQMCQT) framework, unifying and upgrading items #6 (Dynamical Foundations of Quantum Measurement), #5 (Early Universe and Quantum-to-Classical Transition), and #4 (Dark Sector and Cosmological Effective Laws) of the 20 Emergent Physics Agenda. Anchored in our 71-page ZFC Master Monograph (Lee, 2026, DOI: 10.5281/zenodo.23486681) and synthesized with the SVKES and HDGPS frameworks, we formulate coupled system–apparatus–gravity evolution on the Takesaki Type II₁ factor (ℳ_ground, τ_ground) with τ_ground(1_ℳ) = 1, governed by the URRHC idempotent modal reflection monad T_URRHC (T_URRHC² = T_URRHC) and universal constants 𝔘 = (𝒯_0x8A2C, C_UPTC, η_friction, ε_SHID). We establish six core axioms (DQMCQT-1 through DQMCQT-6) and prove six fundamental theorems: (1) Objective Pointer-State Contraction ‖ρ̂_t − T_URRHC(ρ̂_t)‖_tr ≤ η_friction in finite Lambert W₀ time τ_freeze = −(C_UPTC / Γ_dec) W₀(−Γ_dec η_friction / C_UPTC) < ∞ without ad-hoc collapse postulates, recovering the exact Born rule p_k = τ_ground(ρ̂_t Π̂_k); (2) Quantitative Visibility Deviation ΔV(t) = V_QM(t) − V_DQMCQT(t) > 0 from standard linear Lindblad decoherence when entanglement information crosses I_ent > ε_SHID, testable in macroscopic matter-wave interferometry; (3) Primordial Quantum-to-Classical Freezing of Mukhanov–Sasaki curvature perturbations R̂_k at Hubble horizon exit (2N_freeze ≥ C_UPTC) with oscillatory power spectrum cutoff; (4) Unified Dark-Sector Effective Action S_dark[g, φ_dec] where kinetic transition condensates and potential floors simultaneously yield the cosmic dark-to-baryonic matter ratio Ω_DM,0 / Ω_b,0 = C_UPTC / (12 c_𝒯 (1 + ε_SHID)) ≈ 5.33 and a thawing dynamic dark-energy equation of state w_eff(z) = −1 + (ε_SHID² / (3 C_UPTC)) (1 + z)^(c_𝒯 / (1 + c_𝒯)) > −1; (5) Primordial Quantum Discord and Scale-Dependent Non-Gaussian Bispectrum Bounds |f_NL^trans(k)| ≤ (5/12) ε_SHID c_𝒯 < 1; and (6) Anytime-Valid Martingale e-Value Model Selection (E_N ≥ 1/α) separating Unified Dark Physics from ΛCDM. Complete Python numerical verification is provided in Appendix A.
The MMA–DMF framework connects cosmological “dark sector” phenomenology with quantum-foundational phenomena by treating a single screened scalar field as both a mediator of large-scale modified gravity and a stochastic vacuum bath responsible for gravitational decoherence. This paper consolidates the full, dated MMA–DMF validation record contained in the project materials (with an audited, frozen parameter set) and reports the complete test suite relevant to uncertainty and decoherence: (i) a strict Fluctuation–Dissipation Theorem (FDT) stability test for the Generalized Langevin Equation (GLE) memory kernel, which passes an energy-drift criterion of |slope| < 10−5 in long integrations; (ii) a dynamic contextuality roll-off test in which the CHSH Bell parameter transitions from the Tsirelson value S ≈ 2.828 at quasi-static settings to the classical bound S → 2 under fast modulation, quantified by explicit frequency-dependent suppression formulas; and (iii) a T-MAGIS atom-interferometry campaign prediction in which a density-modulated environment produces a detectable contrast loss ∆V ≈ 3.4 × 10−3 to 4 × 10−3 under representative configurations, with a tabulated scaling versus distance and interrogation time and a shot-noise sensitivity forecast yielding high signal-to-noise for hour-scale integration. We also summarize MMA–DMF-linked phenomenology across scales, including a joint cosmological likelihood structure with cross-covariance correction and representative reported values (H0, S8) ≈ (72.1 km s−1 Mpc−1, 0.761), plus a gravitational-wave echo delay estimate of ∆techo ≈ 32 ms for stellar-mass systems. The combined record constrains MMA–DMF by demanding simultaneous thermodynamic consistency of the stochastic sector, a controlled transition from contextual to classical correlations under finite response time, and a falsifiable laboratory decoherence signature under controlled density modulation.
Version: v1.0 DESCRIPTION: We introduce Coherence Field Dynamics (CFD), a theoretical framework that extends holographic quantum gravity by promoting quantum coherence — the off-diagonal density matrix elements — to an independent geometric degree of freedom. While standard holographic frameworks (AdS/CFT, Ryu-Takayanagi) encode bulk geometry through entanglement entropy alone, CFD posits that coherence parameterizes effective bulk depth, complementary to entanglement's encoding of connectivity. The coherence field φ(p,γ) satisfies a wave equation in information-geometric parameter space, generating a Lorentzian metric that degenerates at a critical decoherence threshold γ_c. The framework predicts the existence of such a threshold from geometric stability analysis; its specific numerical value is system-dependent. Connections are established between information geometry, MERA tensor networks, and holographic entropy. The variational principle coupling coherence to an effective gravitational action is presented as an analogue gravity model (c and G are effective parameters), not a claim about physical 4D spacetime. Key results: Theoretical framework: coherence field equation, information-geometric metric, variational principle, and five testable predictionsCompanion experimental work demonstrates a fidelity threshold at γ ≈ 0.535 on IonQ Forte-1 (F = 0.988 baseline, collapse to F ≈ 0 under dephasing) and consistency with the dephasing response on Pasqal FRESNEL_CAN1 QPU (noise ratio 1.13×). These results are consistent with CFD's predicted critical behavior, though they do not uniquely distinguish CFD from standard noise models. The specific threshold value (0.535) is determined by the experimental circuit geometry, not derived from CFD aloneFour predictions remain open and experimentally accessible on current NISQ hardware: coherence-depth complementarity, MERA-decoherence correspondence, coherence-modulated entropy scaling, and hardware demonstration of non-trivial reversibilityThis paper presents the theoretical framework. The detailed experimental protocols and hardware data are reported in the companion publication "Cross-Platform Noise Thresholds in Quantum Teleportation: Trapped-Ion and Neutral-Atom Architectures" (see Related Identifiers).
We develop a complete theoretical framework for open quantum systems coupled to scale-invariant environments. We show that such environments are universally described by unparticle baths characterized by a single scaling dimension dU. This work provides the proof of the uniqueness theorem, the formalism of the resulting non-Markovian dynamics, and applications to several physical systems.
From the uniqueness theorem, we derive the non-Markovian memory kernels, the exact noise kernel including vacuum and thermal contributions, and a fractional generalization of the Caldeira-Leggett master equation for arbitrary dU. The scaling dimension governs a rich phase structure, including a thermalization transition at dU=3/2, the Ohmic boundary at dU=2, and a decoherence transition at dU=5/2 in the thermal regime, beyond which long-time quantum coherence is protected.
Three realizations are studied. For the quantum Ising model at criticality, coupling to the energy operator in (1+1) dimensions gives dU=3/2, producing 1/f noise, while the (2+1)D case yields dU≈1.413 from the conformal bootstrap. In inflationary cosmology, massless scalar and graviton baths in de Sitter spacetime give dU=2, predicting linear decoherence growth consistent with the quantum-to-classical transition. For high-energy astrophysical neutrinos, the decoherence rate Γdecoh∝B(E,TU)L5−2dU provides an observable signature of the scaling dimension.
We also compare the framework with Caldeira-Leggett and Lindblad approaches, analyze the validity regimes, and discuss experimental implications for trapped-ion simulators, neutrino telescopes, and superconducting qubits.