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Empirical Tests, Uncertainty, and Replication Protocol for an Entanglement-Induced Suppression Functional

Ahaneku, Oguike

Published Dec 1, 2025• 0 citations
Publisher

Abstract

An entanglement-induced suppression functional is proposed that modifies the effective weight of histories traversing highly entangled environments. The functional is intended to apply across microscopic, mesoscopic, and cosmological regimes without parameter tuning against specific datasets. This document consolidates the empirical tests of the suppression functional into a single, fully transparent and replicable analysis. All data sources, modelling decisions, and computational steps are documented in a form suitable for independent replication. A global replication and modelling protocol is established, including a parameter-fitting audit, a registry of constructed variables, and an uncertainty and robustness analysis. Eight tests are described in detail, spanning qubit decoherence, Nuclear Magnetic Resonance (NMR) relaxation, organic dye fluorescence, Green Fluorescent Protein (GFP) photophysics, long-range electron transfer, viscosity-dependent isomerisation, enzyme catalysis, the cosmological lithium problem, and the muon anomalous magnetic moment. Each test is explicitly classified either as a parameter-free constraint on the suppression functional or as a structural consistency check using proxy variables, with uncertainties and potential limitations made explicit.

DOI
10.5281/zenodo.17782777

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An entanglement-induced suppression functional is proposed that modifies the effective weight of histories traversing highly entangled environments. The functional is intended to apply across microscopic, mesoscopic, and cosmological regimes without parameter tuning against specific datasets. This document consolidates the empirical tests of the suppression functional into a single, fully transparent and replicable analysis. All data sources, modelling decisions, and computational steps are documented in a form suitable for independent replication. A global replication and modelling protocol is established, including a parameter-fitting audit, a registry of constructed variables, and an uncertainty and robustness analysis. Eight tests are described in detail, spanning qubit decoherence, Nuclear Magnetic Resonance (NMR) relaxation, organic dye fluorescence, Green Fluorescent Protein (GFP) photophysics, long-range electron transfer, viscosity-dependent isomerisation, enzyme catalysis, the cosmological lithium problem, and the muon anomalous magnetic moment. Each test is explicitly classified either as a parameter-free constraint on the suppression functional or as a structural consistency check using proxy variables, with uncertainties and potential limitations made explicit.
Abstract The Information Space Ontology (ISO) proposes a scalar order parameter — the locking degree L∈[0,1]L∈[0,1] — to quantify the classicality of a quantum system and to govern decoherence dynamics. This work presents comprehensive empirical tests of the locking degree hypothesis across five independent physical systems spanning energy scales from 10−310−3 eV to MeV. A universal decoherence coefficient ξ=10.30±0.59ξ=10.30±0.59 is extracted from αα, ββ, γγ and proton emission half‑lives (5562 nuclei) and survives explicit inclusion of the Fermi function in ββ-decay. Neutral kaon decoherence data confirm the predicted vanishing of decoherence at L→1L→1; meson total lifetimes serve as a negative control (ξ≈0ξ≈0). On cosmological scales, the ISO information‑inertia model is phenomenologically highly similar to ΛΛCDM in background expansion: the maximum distance‑modulus difference is 0.0940.094 mag, smaller than the typical supernova uncertainty (0.150.15 mag). A theoretical extrapolation yields a dark‑energy equation of state w0≈−0.937w0≈−0.937 and a relaxation rate β≈0.095β≈0.095. A cross‑scale closure test on 169 SPARC galaxies gives a relative scatter of 0.44 for the halo scale parameter Dmax⁡Dmax, indicating that a single global relaxation scale accounts for the full structural diversity without galaxy‑by‑galaxy tuning. For the first time, the hypothesis is extended to light‑nuclei fusion reactions. D‑T reaction data (48 points) give ξDT=−3.96ξDT=−3.96 (95 % CI [−7.72,−0.26][−7.72,−0.26]). D‑D reactions (802 points) analysed with the ENDF/B‑VIII.0 R‑matrix evaluated baseline — a zero‑free‑parameter gold standard — yield ξDD=−1.5×10−4ξDD=−1.5×10−4 (95 % CI [−1.7,−1.3]×10−4[−1.7,−1.3]×10−4). Across all seven independent fusion fits, ξξ is consistently negative and statistically significant, establishing a cross‑reaction sign rule: nuclear decays give ξ>0ξ>0 (decoherence releases energy), whereas fusion reactions give ξ<0ξ<0 (information inertia suppresses quantum tunnelling), exactly as predicted by the reversal of the locking‑degree difference ΔinfoΔinfo. The exact static, spherically symmetric solution of the field equations yields negligible galactic dark‑matter contribution, pinpointing a completeness boundary. Seven alternative theoretical paths are enumerated and nine adjudication tests are carried out, six of which favour the locking degree hypothesis. All code, data and pipelines are publicly available. Keywords locking degree · information space ontology · decoherence · nuclear decays · fusion reactions · cosmological constraints · cross‑scale tests · Bayesian inference
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
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.
Experimental practice in high-energy physics relies on an implicit methodological assumption: that the quantum coherence of a well-defined subsystem can be treated as independent of the global structural complexity of the entire event. While this assumption underlies standard factorized descriptions and has proven extraordinarily successful, it has not been explicitly formulated nor empirically tested as a standalone hypothesis. This work makes that implicit assumption explicit and proposes a systematic empirical test of coherence invariance with respect to global event complexity. The contribution is methodological rather than phenomenological: no new particles, mechanisms, or specific experimental effects are predicted. Instead, the paper formulates a falsifiable null hypothesis asserting statistical consistency of a subsystem coherence observable across variations in event-level structural complexity, and outlines a conceptual experimental protocol suitable for LHC environments. The proposal is deliberately distinct from standard decoherence or open-quantum-system analyses. It does not model environmental coupling or dynamical loss of coherence, but tests the empirical validity of the commonly assumed independence between subsystem-level quantum correlations and global many-body event structure. By identifying coherence invariance itself as an empirical assumption and rendering it testable, this work delineates the domain of validity of factorized quantum descriptions in high-energy experiments and provides a clean methodological framework for future experimental scrutiny.
This study presents the first comprehensive dataset on quantum entanglement dynamics in open quantum systems, recorded under the environmental noise profiles characteristic of the Tanzanian equatorial region between 2021 and 2022. The experimental apparatus, situated at the University of Dar es Salaam, employed spontaneous parametric down-conversion in a type-II beta-barium borate crystal to generate polarisation-entangled photon pairs. Tunable spectral filters and liquid-crystal variable retarders were used to engineer controlled Markovian and non-Markovian phase-damping channels, replicating diverse environmental conditions. The dataset comprises 48 CSV files systematically organised across three distinct reservoir spectral densities—Ohmic, sub-Ohmic, and super-Ohmic—each examined under varying coupling strengths. Time-stamped records of concurrence, purity, and negativity, along with associated uncertainties, provide a multi-metric characterisation of the system's state, enabling the disentanglement of genuine quantum correlations from classical mixing effects. A separate metadata file details experimental parameters including system–reservoir coupling constants, temperature, cut-off frequencies, and calibration constants. Data validation was performed through systematic comparison with exact analytical predictions for the Markovian limit, where observed decay curves for concurrence and logarithmic negativity showed high qualitative agreement with theoretical expectations, particularly in the early-time regime. This concordance confirms the integrity of the experimental apparatus and state-reconstruction protocol. The dataset enables validation of theoretical decoherence models under variable thermal and magnetic field fluctuations, offering a benchmark for quantum information processing in resource-limited settings. By systematically cataloguing entanglement evolution under both Markovian and non-Markovian regimes, the data support further research into error mitigation strategies and the development of robust quantum protocols for emerging quantum technologies.