Addendum VIII (Version 2) is an extension of the core publication The Berg Theory: A scalar–tensor energy web as a common foundation of space–time, gravitation, quantum phenomena, and entropy (core article collection DOI: 10.5281/zenodo.17937466). It records an audit-ready, fit-ready coherence module for two-path interference, measurement, decoherence, and entanglement, and adds a laboratory-facing interface to quantum-processor diagnostics. The operational backbone is intentionally mainstream-compatible: two-path interference is tracked through measured fringe visibility as the primary coherence proxy, and visibility loss is linked to the physical creation of which-way records via the standard environment-overlap mechanism. The Berg-specific contribution is isolated as a comparative hypothesis: a background-response factor (denoted Xi_Psi in the manuscript) that may rescale the effective decoherence response under carefully defined regime comparisons. Some regime changes are used only to calibrate and verify laboratory couplings (dial checks), while Xi_Psi is tested only under regime changes explicitly designed to keep the laboratory coupling unchanged within declared tolerances. The addendum is designed so that the default outcome is a bound: if no reproducible residual survives controls, the correct report is consistency with the null case in the tested regime. Version 2 strengthens falsifiability and reviewer-robustness by adding: a strict separation between “dimensionless decoherence exponents” and “decoherence rates” to avoid notational ambiguity, an explicit complementarity sanity check as a pipeline diagnostic, an operational regime definition (reference / modified / placebo) with logging requirements, plus blinded analysis and placebo discipline to protect against hidden drift and p-hacking (with the chosen Xi_Psi parametrization pre-declared before unblinding), fit-ready experimental routes for (A) residual coherence in two-path interferometers and (B) entanglement-lifetime curves based on CHSH-type tests, including practical detectability budgets, a quantum-processor section that turns coherence-language into laboratory diagnostics (correlated noise, memory effects, noise spectroscopy) with explicit null hypotheses and significance discipline, and tests a Berg-specific delta: whether any residual structure shows regime dependence under the same placebo/blinding audit rules used for interferometers. Two compact appendices provide independent numerical scale anchors: a double-slit fringe-spacing benchmark (including an electron-scale reference) and a tunneling benchmark included solely as a verified exponential-law boundary-value sanity check complementary to coherence-loss diagnostics.
Addendum VIII (Version 2) is an extension of the core publication The Berg Theory: A scalar–tensor energy web as a common foundation of space–time, gravitation, quantum phenomena, and entropy (core article collection DOI: 10.5281/zenodo.17937466). It records an audit-ready, fit-ready coherence module for two-path interference, measurement, decoherence, and entanglement, and adds a laboratory-facing interface to quantum-processor diagnostics. The operational backbone is intentionally mainstream-compatible: two-path interference is tracked through measured fringe visibility as the primary coherence proxy, and visibility loss is linked to the physical creation of which-way records via the standard environment-overlap mechanism. The Berg-specific contribution is isolated as a comparative hypothesis: a background-response factor (denoted Xi_Psi in the manuscript) that may rescale the effective decoherence response under carefully defined regime comparisons. Some regime changes are used only to calibrate and verify laboratory couplings (dial checks), while Xi_Psi is tested only under regime changes explicitly designed to keep the laboratory coupling unchanged within declared tolerances. The addendum is designed so that the default outcome is a bound: if no reproducible residual survives controls, the correct report is consistency with the null case in the tested regime. Version 2 strengthens falsifiability and reviewer-robustness by adding: a strict separation between “dimensionless decoherence exponents” and “decoherence rates” to avoid notational ambiguity, an explicit complementarity sanity check as a pipeline diagnostic, an operational regime definition (reference / modified / placebo) with logging requirements, plus blinded analysis and placebo discipline to protect against hidden drift and p-hacking (with the chosen Xi_Psi parametrization pre-declared before unblinding), fit-ready experimental routes for (A) residual coherence in two-path interferometers and (B) entanglement-lifetime curves based on CHSH-type tests, including practical detectability budgets, a quantum-processor section that turns coherence-language into laboratory diagnostics (correlated noise, memory effects, noise spectroscopy) with explicit null hypotheses and significance discipline, and tests a Berg-specific delta: whether any residual structure shows regime dependence under the same placebo/blinding audit rules used for interferometers. Two compact appendices provide independent numerical scale anchors: a double-slit fringe-spacing benchmark (including an electron-scale reference) and a tunneling benchmark included solely as a verified exponential-law boundary-value sanity check complementary to coherence-loss diagnostics.
This manuscript develops three concrete, falsifiable predictions based on a framework in which time and space are operationally equivalent, and classical reality is understood as the record. In this scalar-clock / awareness-tensor / Trinity picture, an observation is any physical process that stabilizes correlations into durable, revisitable records, and gravity is interpreted as time decoherence: clock-locking and time selection into dominant mass time-zones. The paper introduces three phenomenological parameters that are exactly zero in standard GR+QM: (i) ϵ\epsilonϵ, the sensitivity of co-located clock rates to engineered decoherence and monitoring strength; (ii) η\etaη, the sensitivity of effective gravitational acceleration to record-export structure at fixed mass distribution; and (iii) a scalar time-mismatch scale ΔT∗\Delta T_\astΔT∗, beyond which interference visibility near a mass exhibits a protocol-dependent threshold. These parameters are tied to operational proxies: clock-locking depth, time mismatch, and coupling gradients. From this framework, three testable predictions follow: Entanglement-dependent time dilation: Two identical, co-located precision clocks in the same gravitational potential but in different record-coupling regimes (high vs. low monitoring and decoherence) should exhibit a small, persistent differential drift that tracks clock-locking depth, not altitude or velocity. Gravity modulation by engineered decoherence: In a torsion balance, atom interferometer, or precision gravimeter, the measured acceleration toward a test mass should differ slightly between “decoherence OFF” and “decoherence ON” conditions, even when the mass distribution and EM fields are unchanged. The key signature is a protocol-locked Δg\Delta gΔg that appears only when scattered quanta are recorded, not when the same fields are present but their outputs are dumped locally. Entanglement horizon near mass: In a matter-wave interferometer, as one arm approaches a mass (or as the mass is increased), interference visibility should drop at a characteristic threshold set by scalar-clock mismatch and record structure. This defines an “entanglement horizon” in time-mismatch space, distinct from smooth environmental decoherence. For each effect, the paper defines explicit null hypotheses, identifies leading systematics, and sketches minimal experimental protocols compatible with current or near-term optical clocks, gravimetry, and matter-wave interferometry platforms. A brief CPT-compatibility analysis clarifies that microscopic dynamics remain CPT-symmetric in the usual QFT sense; any asymmetries arise only at the coarse-grained level of record formation and clock-locking. The proposals can therefore be read either as parameterized extensions of GR+QM using measurement architecture as an additional knob, or as an operational test of a broader “gravity as time decoherence” interpretation in which geometry becomes explicitly record-sensitive. This Version 2 is a revised and expanded update of the original upload, adding a phenomenology-first summary, clarifying the roles of the parameters (ϵ,η,ΔT∗)(\epsilon,\eta,\Delta T_\ast)(ϵ,η,ΔT∗), and situating the framework more explicitly relative to existing work on gravity-related decoherence, hybrid classical–quantum gravity, and clock/interferometry proposals (Diósi–Penrose, Bassi, Anastopoulos–Hu, Oppenheim, Zych–Costa–Pikovski–Brukner, Bose et al.). The updated version explicitly restricts the criterion to record-sensitive effects, rather than any effect. It explicitly spells out what “record formation on/off” means in practice: detectors and logging are turned on/off while the physical fields are held fixed, i.e., outputs are either stored or not stored. This version tightens falsifiability and lab usability. It (i) commits to explicit benchmark model families for the three predictions, each reducing to standard physics when ϵ=η=κ=0\epsilon=\eta=\kappa=0ϵ=η=κ=0; (ii) defines an unambiguous export-axis variable via the exported mutual-information rate I˙XR\dot I_{XR}I˙XR and export depth E\mathcal{E}E, enabling cross-platform comparisons; (iii) adds a fully worked, platform-specific optical lattice clock pilot (C1 vs C2 export-only toggle) including invariance audits, confound/error budgeting, preregistered power/discriminability analysis, and an end-to-end analysis pipeline; and (iv) upgrades mandatory reporting/preregistration templates so null results produce publishable bounds on (ϵ,η,κ)(\epsilon,\eta,\kappa)(ϵ,η,κ).
**Version v0.5 — Journal-Polish Update** This manuscript develops a conservative extension framework for Schrödinger dynamics in which an observed quantum system is embedded into an enlarged Hilbert space equipped with an auxiliary clock-information fiber. The fiber is not introduced as a macroscopic hidden spatial dimension, nor as a local hidden-variable register. Instead, it is treated as a quantum auxiliary sector carrying phase memory, clock/reference correlations, and correlation records that may appear as information loss or dephasing after partial tracing. The central contribution of this version is a residual-identifiability framework. Rather than claiming that unitary dilation itself is new, the paper asks whether a calibrated observed system can exhibit structured residuals after independent-bath subtraction and common-bath controls. The main diagnostic object is a log-residual statistic, Rχ(t;σref)=logCobs(t;σref)−logCind(t;σref), together with reference-covariance indices such as Iχ(t;σref)=∂σrefRχ(t;σref), and covariance/correlation-based diagnostics over controlled reference settings. The framework emphasizes that a nonzero residual alone is not sufficient evidence for an admissible clock-information fiber. A candidate residual must be non-factorizing, reproducible, reference-covariant, and not absorbed by independent local bath models, common classical noise, or generic common quantum bath controls. In particular, the admissible-fiber hypothesis is treated as a residual diagnostic condition, not as a proof of a new hidden variable, superluminal channel, or macroscopic extra dimension. The paper proves the elementary consistency statements for the enlarged dynamics: total unitarity under a self-adjoint total Hamiltonian, total energy conservation for time-independent generators, subsystem entropy growth under partial trace, and no-signalling compatibility under local trace-preserving operations. It also presents minimal toy models for phase-memory dephasing, shared-fiber cross-kernels, compact protected fiber sectors, and synthetic residual-fitting demonstrations. The synthetic fitting layer uses a representative model of the form $$C_{\rm obs}(t;\sigma_{\rm ref})=C_{\rm ind}(t)\exp[-a(\sigma_{\rm ref})t^2],\qquada(\sigma_{\rm ref})=a_0+a_1\sigma_{\rm ref}^2,$$ so that Rχ(t;σref)=−a(σref)t2. This example is intended as an identifiability demonstration: after calibrated independent-bath subtraction, a candidate clock-information fiber signature should appear as a reproducible residual with controlled reference covariance, rather than as an arbitrary fitting term. The experimental outlook focuses on Ramsey/spin-echo baselines, dynamical-decoupling response, superconducting qubit and Josephson platforms, tunneling phase-delay diagnostics, and reference-modulation protocols. The manuscript also formulates a common-bath control envelope, ∣Rχ(t;σref)−Rctrl(t;σref)∣≤δR(t;σref), to express the requirement that a proposed fiber residual should not be absorbed by generic common-bath control models within statistical uncertainty. ### Main updates in v0.5 - Shortened journal-style title and abstract.- Removal of version-history language from the abstract.- Strengthened common-bath control criterion.- Addition of a formal common-bath control envelope.- Improved diagnostic separation between independent local baths, common classical noise, generic common quantum baths, and admissible clock-information fibers.- Algorithm-style synthetic residual-identifiability test.- Synthetic residual-fitting demonstration using reference-covariant dephasing.- Improved table formatting and manuscript presentation for journal-style readability. ### Scope and non-claims This work should be read as a structured framework for residual diagnostics in extended Schrödinger dynamics. It is not a hidden-variable theory, not a superluminal-signalling model, not a derivation of measurement collapse, and not a completed microscopic theory of mass, charge, or quantum gravity.
A timing signature is not physics until its reference operator survives a representation audit. CV⋆=FR2,UT⋆=1−FR2,CV⋆+UT⋆=1 This framework separates three objects that must not be merged: a completed historical event, the record support still accessible to a laboratory, and a separately calibrated timing observable. Standard quantum theory closes the optimized coherent-recovery envelope. QTT adds a distinct, falsifiable timing complement only after a physical intertwining certificate proves that the laboratory record operator and the central timing projector are the same physical object in two representations. A public 11,009-trace test of explanatory burden Version 1.4 executes the complete usable public archive associated with Gosling et al., Probing the memory of a superconducting qubit environment. Every trace is split chronologically into training, a discarded guard interval, and held-out testing. The ordinary one-TLS Solomon camera learns two rates per trace, while the memoryless comparator learns one. median(RMSE0RMSE0−RMSETLS)=0.36015,P(TLSwins)=11,00910,169=0.92370 The fitted TLS camera is therefore a successful held-out effective model. Its resolved trajectory is not a parameter-free derivation: the values of Γq and Γqt are learned from each target-bearing trace's training segment. Version 1.4 makes that distinction machine-auditable through the target-fit burden vector BM=(Nc,Nd,Nw,Nn,Nu,Nh),BM=0⟹the fitted output is not derived parameter-free. The QTT result A public QTT source statement from 12 November 2025, before the Gosling preprint, already required complete reset to erase distributed record support beyond the visible carrier. That statement contains no Gosling-fitted rate, hidden-mode count, target window, or trajectory coefficient. The resulting comparative verdict is QTT-ZERO-FIT-SOURCE-EXPLANATORY-VICTORY/TRAJECTORY-VERDICT-OPEN. This is a scientific victory at the source/ontology layer, not a claim that QTT has already predicted the same resolved qubit trajectory. The stronger same-observable verdict remains locked because the public archive does not independently provide the residual record fidelity Fres, leakage diagnostic D, timing complement UT, or physical intertwiner W. The paper prints the exact next experiment that would close or falsify that bridge. Reproducibility 11,009 row-level held-out results are included. The 840 traces favoring or tying the memoryless camera are retained. No false significance is assigned to correlated sweep windows. All three official archive objects pass their published MD5 checks. The release verifier passes 30/30 scientific and provenance checks. Three adversarial reviews cover observable equality, leakage and selection, chronology, and claim scope. Version: 1.4 Concept DOI: 10.5281/zenodo.21902886 Author: Ali Attar Website: quantumtraction.org Reader anchors Completed-record timing blind test Dynamic-circuit record-timing extension Observation as Access Quantum Traction Theory: Main Book Gosling public data archive The PDF is the default preview. The reconstruction archive contains the LaTeX source, row-level CSV, public-data integrity receipt, chronology certificate, fit-burden certificate, analysis scripts, exact source checks, adversarial and render audits, metadata, and checksum manifest.
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.
This record provides the complete figure archive and figure-generation code for the manuscript: “A Differential Null Test for Informational Corrections to Gravity-Related State Reduction.” The archive contains the final manuscript and Supplemental Material figures in both PDF and PNG formats, together with a reproducible Python/Matplotlib script for regenerating the figure set. The figures support a theoretical proposal for a differential null test of informational corrections to gravity-related quantum state reduction. The manuscript develops a matched-pair visibility-residual framework in which ordinary gravitational and environmental baseline terms are cancelled, leaving a testable bound on the informational coupling parameter. The included figures are: Fig1 — main manuscript figure showing the differential null-test structure and visibility-residual logic. FigS1–FigS5 — supplementary figures supporting the branch-density construction, perturbative regime, visibility residuals, coupling bounds, and source-to-energy schematic. The code package includes: generate_prl_figures.py — Python script for regenerating the full figure set. requirements.txt — minimal package requirements. PDF and PNG output folders. SHA256 manifest for file-integrity checking. This Zenodo record is intended to support transparency, reproducibility, and independent inspection of the visual materials associated with the manuscript. The figures are synthetic/theoretical benchmark illustrations and do not represent observational detections or experimental data. Suggested citation use: cite this record when referring to the reproducible figure-generation code or archived figure files associated with the manuscript.