QECTOR MEGA 2.2.1 | Full Scientific Reference Manual and Verification Report Authors Guillaume Lessard (ORCID 0009-0000-3465-3753) / iD01t Productions Description This deposit contains the complete scientific reference manual, mathematical foundations, architecture description, API specification, and end-to-end verification record for qector-mega 2.2.1. The decoder is a high-performance residual-faithful belief-propagation with ordered-statistics decoding (BP-OSD) engine targeting the IonQ Superion 256 platform under the Walking Cat architecture (arXiv:2604.19481). It features a Rust BP-OSD core with PyO3 bindings, optional CUDA acceleration with automatic CPU fallback, and streaming dual-window support for syndrome-extraction cycle (SEC) schedules. The public decode paths enforce strict residual gating, ensuring the identity
Hc=s holds over
F2 or failing explicitly. Three production codes are natively supported: Q70:
[[70,6,9]], Rank 59 Q102:
[[102,22,9]], Rank 80, exact Appendix-C construction Gross:
[[144,12,12]], Rank 112, Bivariate bicycle construction Status (15 September 2026) ALL LISTED CERTIFICATION SUITES PASS / GREEN Full Suite 205/205 | Q102 Production 59/59 | Math 38/38 | Onpager 98/98 | Compute_Certified_100 GREEN | Z3 Full SMT 31 checks GREEN | Lean 0 sorries The document consolidates original author certificates with a full re-execution of every suite on a measured Linux host (Python 3.12.3, manylinux cp312 wheel). All theorems, residual soundness arguments, performance data, Z3 oracle artifacts, and public artifacts are included. Key contents Mathematical foundations and theorems (CSS orthogonality, BP identities, residual faithfulness, and Z3 oracle soundness) Architecture and public API surface (AutoDecoder, TwoStage, SpaceTime, Hardware bridge caps) Verification results, including canonical latency, batch throughput, thread scaling, and exhaustive/noise-stress campaigns Supported codes, reproducibility instructions, licensing, and distribution limits Related deposits Frozen package (v2.2.1 Frozen Release): https://doi.org/10.5281/zenodo.22773113 LCL-832 Master Edition: https://doi.org/10.5281/zenodo.19119790 QECTOR Decoder v3: https://doi.org/10.5281/zenodo.21941046 License Public verification data and this PDF: CC-BY-4.0 Binary + source (proprietary, NDA-restricted evaluation only) Keywords quantum error correction, trapped-ion, BP-OSD, residual faithfulness, GF(2), CSS codes, formal contract testing, IonQ Superion 256, Walking Cat, Rust, PyO3 Version 2.2.1 Citation Code snippet @techreport{Lessard2026QectorMegaRefManual, author = {Lessard, Guillaume}, title = {QECTOR MEGA 2.2.1: Full Scientific Reference Manual and Verification Report}, institution = {iD01t Productions / qector.store}, year = {2026}, month = {9}, day = {15}, note = {IonQ Superion 256 / Walking Cat. Proprietary binary; public cert data CC-BY-4.0. ORCID 0009-0000-3465-3753} } Trademark and affiliation notice This is an independent product developed by Guillaume Lessard (iD01t Productions). It is not affiliated with, endorsed by, or sponsored by IonQ, Inc.; the names 'IonQ' and 'Superion' are trademarks of IonQ, Inc. and are used here solely to designate the target hardware profile.
This record preserves the current working state of From Geometric Closure to Physical Test: An Operational and Falsification Audit of the ENSO Framework. The package contains the 41-page audit paper, the nine ENSO papers included in the audited corpus, their TeX source files and associated validation suites, the complete audit-side script collection, and the reports, ledgers, and supporting outputs generated during the project. The materials are organised so that the internal audit suite can be run from a single folder, while the individual predecessor validators remain available with the papers to which they belong. The purpose of the audit is to distinguish, claim by claim, what is mathematically proved, what is conditionally established within ENSO, what reconstructs standard quantum mechanics, what is numerically supported, what remains an identification, and what is still open to empirical test. The audit reports that the load-bearing mathematical architecture survives separate re-derivation and computational testing within the project. It verifies the reciprocal closure invariant, the canonical reciprocal-phase amplitude map under its stated assumptions, conjugation and quadratic closure, the quadratic-weight result, the binary closure projection theorem, the log-affine edge-closure proposition, the mathematical golden-ratio attractor, and the geometric derivation of the Resolution Gap. The framework also reconstructs twenty standard quantum-mechanical cases and obtains the Born-rule route through a non-circular stochastic argument within an imported Hilbert-space and measurement setting. These results are classified as reconstruction rather than as independent empirical confirmation. The audit also states plainly that the standard quantum-mechanical baseline remains ontologically incomplete, particularly at measurement, and that ENSO’s atemporal intrinsic-closure ontology is therefore being assessed against a framework that does not itself provide a settled account of the transition from propagation to recorded outcome. The present package is an author-side, AI-assisted internal audit and should not be treated as external peer review or independent replication. It is deposited as a working research project rather than as the final completed audit. The current version preserves the research record, publication sequence, scripts, corrections, provenance notes, and claim classifications while further work proceeds on the operational discriminator, the measurement-rate identification, and the empirical conditions under which ENSO may be distinguished from standard continuous-measurement quantum mechanics. The package retains both positive and negative results. The audit-side suite contains no unresolved failures, while a deliberately retained predecessor negative result is preserved rather than removed. The operational frontier remains open: the mathematical and reconstructive architecture is established within its stated premises, but a fully developed and experimentally validated discriminator is the next stage of the research programme. For further information about the ENSO Framework, please contact Eric Needham: ensotheory1@gmail.com
This is the manuscript and reproducibility package for Quantum Mechanics Without Spooky Action: The Gravacle Theory. The archive includes the paper in PDF, DOCX, Markdown, and TeX formats; proof and scope ledgers; public-data extracts; processed result files; scoring and digitization scripts; source registries; provenance notes; manifest; and SHA-256 checksums. Version v337 clarifies the Single-Run Boundary Closure Theorem so that entangled record closures are explicitly scoped as jointly constrained by one nonseparable registration relation, not independent per-wing selectors. It also preserves the v336 formatting, bibliography, license, data/provenance packet, and reproducibility materials.Locally authored manuscript, reports, scripts, and supporting documentation are released under Creative Commons Attribution 4.0 International (CC BY 4.0), unless otherwise stated. Third-party datasets, source archives, and cited public records retain their original licenses, terms, and citation requirements.
Edition 2 / The Morphic Origin of Quantum Entanglement — Topological Resonance in the Geometric Fabric Author: Nelson Karabudak Affiliation: Independent Researcher Contact: nelson.karabudak@gmail.com Date: 12 December 2025 DOI: Abstract This deposit presents a self‑contained theoretical dossier that examines the capabilities and limits of strictly local deterministic models founded on a continuous angular substrate λ and a saturated binary readout rule. The manuscript delivers: a full harmonic decomposition of the model correlation; a step‑by‑step analytic derivation of the triangular correlation and its Fourier coefficients; a pointwise CHSH proof showing the local bound
S≤2; a general integral formulation for probabilistic readouts and density functions; and a rigorous topological and statistical protocol for numerical and experimental validation. The work demonstrates that passive local geometric fabrics cannot reproduce the singlet correlation
EQ(θ)=−cosθ and motivates the Karabudak Unified Theory (KUT) proposal of Metric Rigidity — an instantaneous phase‑locking constraint — as a minimal non‑local mechanism to account for the observed CHSH violation. Contents - Full analytic derivations and conventions (Annex A). - General probabilistic readout framework and convolutional analysis. - Pointwise CHSH proof and explicit angle calculations. - Topological diagnostics (winding number, linking number, degree) and numerical validation plan. - Toy formalisation of Metric Rigidity and algorithmic prescription for simulations. - Reproducibility README, templates and reporting formats for numerical and experimental teams. Intended audience and purpose This deposit is intended as a working dossier for theoretical physicists, numerical teams and experimental groups. It is supplied to enable independent reproduction, systematic numerical exploration and experimental tests of the hypotheses and protocols described. The material is organised to facilitate immediate adoption by teams with computational or laboratory resources. Suggested citation Nelson Karabudak, Vers.2 / The Morphic Origin of Quantum Entanglement — Topological Resonance in the Geometric Fabric, DOI: 10.5281/zenodo.17911412 12 December 2025. --- README Purpose This README specifies the minimal reporting format, verification procedures and acceptance criteria required to reproduce, validate and judge results derived from the models and protocols in the deposited dossier. It enforces transparency, traceability and rigorous controls. Minimal reporting line (single text line per run) runid ; modelvariant ; N ; seed ; distributionlambda ; rigidparam ; couplingparamxi ; lambdaNL ; NLrange ; readoutrule ; ksigmoid ; epsphysical ; noiselevel ; Eab ; Eab' ; Ea'b ; Ea'b' ; S ; seS ; selectionrate ; notes Reproducibility package (required for each run) - Code: exact scripts, versioned and with execution instructions. - Seeds: RNG seed(s) and RNG algorithm. - Environment: software versions and platform. - Raw data: unprocessed trial records and time stamps. - Summary line: the single reporting line above. - Diagnostics: histograms of λ, selection rates, tie‑break logs, bootstrap outputs. - Topological report: W, Lk, deg(F) and sensitivity analysis. Verification procedure for any candidate run with S > 2 1. Reproduce the run with N × 2 and a different seed. 2. Apply randomised tie‑break and small eps perturbations; log seeds. 3. Inject controlled noise and measure ∂S/∂noise. 4. Remove any post‑selection and recompute S; report selection rate. 5. Verify that B does not depend on A or on α in code and instrumentation logs. 6. If S remains > 2 + 5·se_S after these controls, prepare package for independent review. Acceptance criteria - Significance: S > 2 + 5·se_S on independent runs. - Reproducibility: consistent results across seeds and machines. - Robustness: stability under noise, tie‑break rules and ρ variations. - Locality check: no evidence of information channels between settings and outcomes. - Traceability: full code, seeds and raw data provided. Statistical guidance - Use bootstrap resampling (≥ 500 resamples exploratory; ≥ 1000 for final claims). - Estimate seE ≈ sqrt((1 − E^2)/N) as a baseline; compute seS via bootstrap. - Pre‑register analysis pipeline and stopping rules where possible. Topological diagnostics - Winding number (W): discrete unwrapping algorithm with tolerance reporting. - Linking number (Lk): discretised Gauss integral with convergence checks. - Degree (deg(F)): net argument change divided by 2π with sensitivity tests. Report invariants and their numerical tolerances. Recommended numerical sweep - ksigmoid ∈ {1,5,10,100}; noiselevel ∈ {1e‑8,1e‑6,1e‑4,1e‑3}; ρ ∈ {uniform, concentrated, bimodal}; N ∈ {2e5,1e6,1e7}. - For each configuration run ≥ 5 independent seeds and report mean ± sd of S. Quick verification checklist - [ ] run_id and full result line provided - [ ] RNG seed and software environment documented - [ ] histogram of λ and ρ description attached - [ ] selection rate and post‑selection rule documented - [ ] tie‑break and eps tests performed and logged - [ ] noise sensitivity and ∂S/∂noise reported - [ ] independence of settings verified and logged - [ ] bootstrap or uncertainty estimation provided for S Submission instructions Send reproducibility packages to nelson.karabudak@gmail.com with subject: “Collaboration Morphic Entanglement — Run_id”. Attach: run line, raw outputs, scripts, seeds, logs, histograms and a short conclusion. -- Ownership All original content in this deposit — including text, equations, annexes, README material and any conceptual figures — is the intellectual property of Nelson Karabudak. The author retains all moral and economic rights in the work. Permitted scientific use - Non‑commercial research and educational use by individual researchers, research groups and academic institutions is permitted without prior written authorisation, provided the following conditions are strictly observed: - Mandatory attribution: cite the author, contact details and the Zenodo DOI in every use, reproduction or derivative work. Recommended citation format: Nelson Karabudak, The Morphic Origin of Quantum Entanglement — Topological Resonance in the Geometric Fabric, DOI: [insert DOI], 12 December 2025; contact: nelson.karabudak@gmail.com. - Version and provenance: indicate the exact version of the manuscript used and include any run_id or dataset identifiers for numerical results. - Reproducibility metadata: when publishing results that rely on this work, attach or make available the minimal reproducibility metadata (run line, seeds, scripts or equivalent) required to reproduce the reported findings. Prohibition of commercial use - Any commercial exploitation of the manuscript or its substantial parts is strictly prohibited without the author’s prior written permission. Commercial exploitation includes, but is not limited to: reproduction for sale, incorporation into paid products or services, licensing for commercial platforms, use in monetised training datasets, and any activity intended to generate direct or indirect financial gain. - To request commercial permission, contact the author at nelson.karabudak@gmail.com with a clear description of the intended use, the requesting organisation, and proposed terms. Permissions, if granted, will be formalised in a written licence. Derivative works and redistribution - Non‑commercial derivative works (translations, adaptations, extensions for research) are allowed provided the author is credited, the DOI and contact are included, and the derivative work documents any substantive changes. Redistribution for non‑commercial research or educational purposes is allowed only if the redistribution includes full attribution and a link to the original Zenodo deposit or DOI: 10.5281/zenodo.17911412 Data and code - Any data, code or scripts provided as part of the reproducibility package are covered by the same intellectual property terms unless an explicit alternative licence is stated for those files. Users must respect the licence stated with each dataset or code repository. Requests for exceptions and licences - For exceptions, sublicences, or commercial licences, contact nelson.karabudak@gmail.com. All permissions must be granted in writing and may be subject to contractual terms. Disclaimer and liability - The author provides the work for scientific use and does not warrant fitness for any particular purpose. Users are responsible for validating results and for compliance with applicable laws and institutional policies. The author accepts no liability for misuse or for consequences arising from application of the material. Summary - Commercial use: prohibited without prior written permission. - Scientific research use: permitted freely for researchers and institutions provided the author is cited, contact and DOI are included, and reproducibility metadata are supplied. Keywords: Young's Double-Slit Experiment, Wave-Particle Duality, Quantum Interference, Deterministic Physics, Vacuum Structure, Quantum Foundations, Measurement Problem, Unified Field Theory, Quantum Entanglement, Hidden Variables, Particle Physics, Theoretical Physics, Morphic Guidance, Expérience des fentes de Young, Dualité Onde-Corpuscule, Interférences Quantiques, Physique Déterministe, Structure du Vide, Fondements de la Physique, Problème de la Mesure, Théorie Unifiée, Intrication Quantique, Physique des Particules, Physique Théorique, Guidage Morphique