Version 4.0 public record for “A Nuisance-Aware Residual-Test Framework for Geometry-Induced Quantum Potentials in Curved Constrained Platforms”. Version 4.0 is a substantive revision of the public record. It updates the title and scientific framing, clarifies the established Jensen–Koppe–da Costa geometric-potential anchor versus the new nuisance-aware residual-test methodology, adds an explicit finite-width/disorder/spin-orbit/electrostatic validity envelope, strengthens the minimum experimental-design protocol, improves figure readability, and synchronizes the journal and Zenodo packages. The work is framed as a conservative methodological and design-level residual-test framework for geometry-induced quantum potentials in curved constrained platforms. The manuscript is anchored to the established Jensen–Koppe–da Costa geometry-induced potential for scalar particles constrained to smooth curves. The standard constrained-curve prediction is represented by the fixed coefficient −1/4, while the residual parameter delta-lambda is defined as a falsifiable null-test quantity. Standard constrained quantum mechanics predicts delta-lambda = 0. The manuscript emphasizes that any nonzero residual should first be treated as a platform anomaly unless it survives curvature scaling, nuisance projection, matched-reference controls, blind residual extraction, and cross-geometry replication. No experimental detection is claimed. The included simulations and prospective bounds remain design-level estimates. The package contains the manuscript, supplementary information, figures, reproducibility code, generated CSV/JSON data, metadata files, and public technical materials sufficient to regenerate the numerical validation tables, platform-specific energy-scale estimates, residual sensitivity plots, and figures.
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.
This repository contains the computational reproducibility and verification package accompanying the frozen Version v1.0 manuscript: “Phase Curvature and Assumption-Budgeted Certification in Gravity-Mediated Entanglement.” The associated manuscript develops an operational certification framework for gravity-mediated entanglement experiments. Its central aim is to quantify when an observed entanglement signal excludes a specified neighborhood of local classical-mediator models under explicit assumptions and separately controlled nuisance channels. The package supports the manuscript’s analytical and numerical results concerning: gauge-invariant nonseparable phase curvature for diagonal two-path interactions; exact concurrence and separability-distance formulas for pure two-qubit outputs; assumption-budgeted exclusion bounds around the classical-mediator free class; primal and dual PPT/semidefinite-program certification; finite-shot confidence bounds for experimentally accessible Pauli correlators; certified residual bounds for physically compensated coherent nuisance interactions; stochastic geometry and Casimir–Polder uncertainty budgets; matter-bypass and common-auxiliary-channel bookkeeping; circular-shield mode analysis, including the azimuthal matched-null obstruction; thermal shield-channel factorization; finite-footprint high-mode suppression; an analytic positive high-mode tail bound for the shield benchmark; and a conservative outward-rounded audit of the finite numerical mode block. The frozen manuscript does not claim that a particular experimental apparatus has already closed every systematic-error channel. Quantities such as preparation error, matter-channel leakage, shield-model discrepancy, control error, and readout error remain apparatus-dependent inputs to the certification framework. Package contents The archive includes: the frozen Version v1.0 manuscript source; deterministic verification scripts for the theorem-core identities; finite-shot and Casimir–Polder statistical/geometry checks; shield-mode and analytic-tail verification; conservative floating-point interval/audit checks; submission-interface regression checks; machine-readable verification reports; and a SHA256 manifest for file-integrity verification. All verification scripts distributed with the Version v1.0 package return PASS under the documented software environment. The numerical audit is intended as a transparent reproducibility layer for the stated model calculations. It should not be interpreted as a formal interval-special-function proof or as certification of a realized experimental apparatus.
Scope (minimal thesis): The record contains (i) the main preprint (PDF), (ii) LaTeX source (fully reproducible), and (iii) an extended “explainer” PDF (intuition-first, minimal prerequisites, with figures and tables). Key idea: effective degradation of geometric regularity—defined without smooth curvature—can act as a temporal bottleneck, increasing measurable quantum time delays. Operational proxies: (1) volume-growth/ball-measure deficit proxy , and (2) spectral/heat-kernel descriptors including spectral dimension . Mechanism anchor: geometry-induced spectral modifications can shift scattering phase through spectral shift theory (Kreĭn / Birman–Yafaev viewpoint), hence modifying EWS delays. Test program: controlled families where a geometric scale is varied at fixed probe conditions; fit versus and apply falsifiability Types I–III. Non-claims: no new gravity, no QM violation, no “free energy”, no universal constant assumed a priori. Reproducibility: theoretical/conceptual; no proprietary data required.
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 record contains Version v0.6r2 of *A Josephson–SQUID Barrier-Clock Diagnostic for the Residual Clock–Energy Framework*. This version is a synthetic-noise sensitivity and application-readiness update to the earlier Josephson–SQUID executable diagnostic line. This manuscript is not an empirical detection paper, not a proposal for a new Josephson law, and not a replacement for standard Josephson/SQUID physics. Instead, it develops a residual phase-clock covariance diagnostic built on standard Josephson/SQUID baseline physics, RCSJ-style phase dynamics, tunneling-opacity language, and mock-data sensitivity calibration. The diagnostic is organized around the flux-control parameter
u=Φ0Φext, and the observable vector
u⟼(Ic(u),Γϕ(u),νoscδνosc(u),Sϕϕ(ω;u)). Here
Ic is the critical current,
Γϕ is a phase-dephasing rate,
δνosc/νosc is a fractional oscillator or clock-frequency shift, and
Sϕϕ is a phase-noise spectral density. The Residual Clock–Energy input is represented by the residual phase-tension one-form
α=dΦ−A, which is compared with the gauge-invariant superconducting phase difference
ϕ=φ1−φ2−Φ02π∫12A⋅dℓ. The earlier v0.5r2 version introduced a positive-control toy residual drive,
RJ(u)=r0sin2(πu), and used it as a morphology target for baseline-subtracted Josephson/SQUID observables. Version v0.6r2 extends this line by injecting synthetic noise and nuisance morphologies into mock observations,
yk,iobs(A)=Aβkgi+nk,i+hk,i, where
gi is the centered residual morphology,
nk,i is a synthetic noise term, and
hk,i is a nuisance contribution. The central sensitivity outputs are the detection probability,
Pdet(A)=NMC1∑m=1NMC1[trial m passes], the minimum detectable amplitude,
Amin=inf{A:Pdet(A)≥0.95}, and the false-positive rate,
PFP=Pdet(0). Version v0.6r2 includes: 1. synthetic observation models for residual and nuisance channels;2. white-noise, high-noise, correlated-drift, heating-mimic, and mixed-nuisance scenarios;3. morphology-score and signal-to-noise recovery criteria;4. a multi-channel admission rule requiring at least two non-current channels to pass;5. matched-control subtraction for heating-like nuisance;6. false-positive and detection-probability curves;7. sensitivity tables and CSV outputs;8. an application-readiness ladder from toy positive control to device-screening protocol;9. laboratory deployment requirements for a future calibrated experiment;10. device-facing output interpretation tables. A key outcome of the synthetic study is that heating-like nuisance can overlap strongly with the residual morphology and can therefore create false-positive hazards if not controlled. The v0.6r2 update explicitly treats this issue by introducing matched-control subtraction and by distinguishing raw nuisance-contaminated recovery from controlled recovery. The application-readiness ladder used in this version is: - L0: toy positive-control morphology;- L1: synthetic-noise recovery and false-positive stress test;- L2: calibrated synthetic noise using measured device noise floors;- L3: laboratory pilot with real Josephson/SQUID data;- L4: device-screening protocol for phase-noise and barrier-quality diagnostics. The current v0.6r2 manuscript is positioned at L1. It is therefore a synthetic sensitivity and application-readiness note, not a calibrated laboratory demonstration. The included files provide the PDF manuscript, LaTeX source, figure-generation script, synthetic sensitivity summary CSV, detection-curve CSV, matched-control example CSV, simulation metadata JSON, and a source bundle for reproducibility. This work is a companion device-facing diagnostic note following the broader protocol record *Prediction and Discriminating Experiments for the Residual Clock–Energy Framework*, Version v0.4r1, DOI: 10.5281/zenodo.19846816.
This manuscript presents a methods-forward, operational protocol for evaluating whether any structured dependence remains in quantum-computing measurement records after explicit modeling of standard quantum and device-level mechanisms. Classical definiteness is defined at the record layer, and pre-record states are treated as predictive descriptions rather than as classical outcome facts. Within this operational stance, the protocol converts questions about outcome status and record formation into a falsifiable test program grounded in preregistered analysis rules and standard measurement telemetry. A locked null-model family is specified in advance, incorporating standard quantum dynamics together with documented device-level mechanisms including drift, correlated and non-Markovian noise, crosstalk proxies, and leakage indicators. The framework provides operational definitions, a conservative postulate set, preregistered endpoints, residual-adjudication criteria, negative controls, a fixed windowing discipline, and a bound-first reporting standard designed to yield informative constraints under null results. Any candidate contribution beyond the declared null family must appear as structured, reproducible residual dependence that survives the locked null family and the full residual-filter sequence. Version 4.4 refines the protocol specification, clarifies evidentiary boundaries, and strengthens the integration of the synthetic demonstration. The manuscript includes a fully specified classical simulation that executes the decision pipeline under controlled conditions. The synthetic study illustrates how the protocol classifies a bounded-null case, a measured-artifact case, a partial-artifact/unresolved-covariate case, an injected structured-residual case, and a failed-topology case. This demonstration establishes computational executability of the protocol and clarifies the behavior of the decision tree, but it does not constitute empirical evidence for any physical mechanism. Because the protocol relies only on standard measurement telemetry and preregistered analysis rules, it is directly implementable across contemporary quantum-computing platforms and does not depend on any single dataset, backend, or hardware realization. The manuscript is a specification paper: it defines a reproducible evidentiary framework for record-level claims, while large-scale empirical implementation, hardware benchmarking, and cross-platform replication remain subsequent studies.