Cross-Scale Empirical Tests of the Information Locking Degree Hypothesis: Nuclear Decays, Cosmological Expansion, Galaxy Structure, and Fusion Reactions
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 DmaxDmax, 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
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 DmaxDmax, 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
This paper establishes a conceptual and empirical bridge between cosmological and quantum systems within the Relational Lens framework. In prior work, deviations from standard models in galaxy dynamics and cosmic expansion—typically interpreted as dark matter and dark energy—were shown to exhibit structured, regime-dependent behavior rather than featureless noise. Notably, these structured residuals are most clearly expressed in transition regimes where the dominance of gravitational contraction weakens. Extending this analysis to the quantum domain, this paper examines measurement-induced entanglement transition experiments, in which unitary evolution (entanglement generation) and quantum measurement (entanglement suppression) compete directly. Experimental results demonstrate that the variance of entanglement entropy peaks in the intermediate regime between these phases, rather than within either phase individually. This observation provides a direct quantum analogue to the structured residual behavior identified at cosmological scales. In both domains, the most informative signatures are not found in regimes dominated by a single tendency, but in transition regimes where competing tendencies are simultaneously active. From this, the paper proposes a unifying principle: The signature of the underlying contraction–expansion tension is most visible in regimes where competing tendencies become legible, rather than where one dominates. At cosmological scales, this appears as structured residuals in galaxy rotation curves and supernova data. At quantum scales, it appears as enhanced variance and fluctuation near measurement-induced transitions. This work reframes residuals and quantum probability as scale-specific manifestations of a common relational structure and introduces a predictive program for quantum systems. Specifically, it predicts that variance, fluctuation, and higher-order structure should be maximized in transition regimes across a wide range of quantum experiments. This paper serves as the transition point from cosmological analyses to a data-anchored investigation of quantum measurement, superposition, and uncertainty within the Relational Lens framework.
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.
This deposit seals the baseline (v1.0) pre-registration of four experimentally testable predictions of the Triadic Entanglement State-Determination Engineering (TESE) framework, together with a shared-coupling back-inference protocol and pre-specified decision criteria. All four predictions derive from a single coupling set {g_AB} governing six fundamental modes of a first-space meta-field; confirmation of any one prediction, combined with back-inference of {g_AB} and consistency checks against the remaining three, constitutes system-level (global) confirmation rather than an isolated one. The predictions are: (M5-delta) a four-threshold decoherence staircase with threshold positions at 13.6 eV, 8.8 MeV, 939 MeV, and 200 MeV, plus six absorption peaks of an entanglement-medium response spectrum; (M5-gamma) a statistically significant deviation of the cosmological structure growth index from the general-relativistic scaling law, jointly with superior TESE-template fit over Lambda-CDM at pre-specified model-comparison thresholds; (M5-beta) vanishing of decoherence rates as temperature approaches zero, in contradiction with spontaneous-collapse models; and (M5-alpha) an upward shift of +9.6 percent in the hadron-quark transition temperature in neutron-star gravitational environments, with environment-independence of the crossover shape as an independent kill criterion. For each prediction we register the quantitative anchor value, the acceptance and rejection thresholds, the designated data source, and the axiomatic link that a conflict would localize. This v1.0 baseline is immutable; revisions follow a versioned chain under one concept DOI with explicit change logs. Companion frozen analysis code is deposited separately. No analysis choice in this document depends on post-registration information.
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.
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.
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