A Standalone JS-SH Extension of Schrodinger Dynamics and Feynman Path Analysis: Pre-Phase Residuals, Native 144-Channel Shell Ledger, and Direct Slot-Origin Selection
This upload contains the Version 44 standalone manuscript and supporting package for a JS–SH route-gated Schrodinger recovery equation. The manuscript presents a recursive principal 5:5 gate formulation in which local Schrodinger differential consistency, global path-integral route consistency, and JS–SH equality-throat closure first form candidate route intersections, and then a recursive overlap-core selector Γ* identifies the principal maximal-overlap readout gate. The paper is written as a complete standalone manuscript, not as an internal update log. It develops the reverse double-slit recovery program, the real two-channel JS–SH phase lift, the differential-integral slot-intersection principle, the recursive gate projector, and the staged experimental roadmap from macroscopic resonance analogues to optical, single-photon, or electron reverse-recovery tests. This version includes the cumulative CODE 8100-541 result ledger. Under the declared source-layout/topology-assisted actual PDF-ledger boundary, the recursive principal 5:5 gate recovers 39/39 Chladni frequency classes and rejects 16/16 tested non-ledger frequency candidates. The Chladni pattern contact-sheet figure and supporting frequency-readout materials are retained as visible evidence. The result is not claimed as a new blind laboratory validation and not claimed as a completed quantum-particle recovery experiment. The manuscript also includes a particle-scale sealed comparison, folded shell-depth standing-wave interpretation, Cartesian-radius compression versus JS–SH reciprocal mirror-depth branch split, and a bounded QCD outlook in which QD7 and QD8 are described only as latent or locked quark-depth mode candidates, not as observed new Standard-Model quarks. The claim boundary remains explicit: this work does not replace standard Schrodinger dynamics, Feynman path integration, QED, QCD, QFT, nuclear theory, or localized detector-event physics. It proposes a falsifiable upstream route-gate and recovery framework that can be tested through controlled Chladni, optical, single-photon, and electron double-slit recovery experiments. Files included in this upload are the V44 manuscript PDF, the V44 LaTeX source, cumulative audit and supporting ledger files, Chladni contact-sheet material, source-attribution notes, build report, manifest, and checksum file. ======================== UPDATE JS_SH_STANDALONE_SCHRODINGER_FEYNMAN_PATH_ANALYSIS_V17_ZENODO_READY_MANUSCRIPT JS_SH_STANDALONE_SCHRODINGER_FEYNMAN_PATH_ANALYSIS_V18_WAVE_PARTICLE_READOUT_ZENODO_READY_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V21_FINAL_DOI_20950855_LAYOUT_REPAIRED_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V23_FINAL_INTEGRATED_20260701_R1_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V24_AB_RESIDUAL_CHANNEL_NECESSITY_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V37_ZENODO_DOI_21199407_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V44_DOI_21202622_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V46_DOI_20849560_MANUSCRIPT
This upload contains the Version 44 standalone manuscript and supporting package for a JS–SH route-gated Schrodinger recovery equation. The manuscript presents a recursive principal 5:5 gate formulation in which local Schrodinger differential consistency, global path-integral route consistency, and JS–SH equality-throat closure first form candidate route intersections, and then a recursive overlap-core selector Γ* identifies the principal maximal-overlap readout gate. The paper is written as a complete standalone manuscript, not as an internal update log. It develops the reverse double-slit recovery program, the real two-channel JS–SH phase lift, the differential-integral slot-intersection principle, the recursive gate projector, and the staged experimental roadmap from macroscopic resonance analogues to optical, single-photon, or electron reverse-recovery tests. This version includes the cumulative CODE 8100-541 result ledger. Under the declared source-layout/topology-assisted actual PDF-ledger boundary, the recursive principal 5:5 gate recovers 39/39 Chladni frequency classes and rejects 16/16 tested non-ledger frequency candidates. The Chladni pattern contact-sheet figure and supporting frequency-readout materials are retained as visible evidence. The result is not claimed as a new blind laboratory validation and not claimed as a completed quantum-particle recovery experiment. The manuscript also includes a particle-scale sealed comparison, folded shell-depth standing-wave interpretation, Cartesian-radius compression versus JS–SH reciprocal mirror-depth branch split, and a bounded QCD outlook in which QD7 and QD8 are described only as latent or locked quark-depth mode candidates, not as observed new Standard-Model quarks. The claim boundary remains explicit: this work does not replace standard Schrodinger dynamics, Feynman path integration, QED, QCD, QFT, nuclear theory, or localized detector-event physics. It proposes a falsifiable upstream route-gate and recovery framework that can be tested through controlled Chladni, optical, single-photon, and electron double-slit recovery experiments. Files included in this upload are the V44 manuscript PDF, the V44 LaTeX source, cumulative audit and supporting ledger files, Chladni contact-sheet material, source-attribution notes, build report, manifest, and checksum file. ======================== UPDATE JS_SH_STANDALONE_SCHRODINGER_FEYNMAN_PATH_ANALYSIS_V17_ZENODO_READY_MANUSCRIPT JS_SH_STANDALONE_SCHRODINGER_FEYNMAN_PATH_ANALYSIS_V18_WAVE_PARTICLE_READOUT_ZENODO_READY_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V21_FINAL_DOI_20950855_LAYOUT_REPAIRED_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V23_FINAL_INTEGRATED_20260701_R1_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V24_AB_RESIDUAL_CHANNEL_NECESSITY_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V37_ZENODO_DOI_21199407_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V44_DOI_21202622_MANUSCRIPT JS_SH_ROUTE_GATED_SCHRODINGER_RECOVERY_EQUATION_V46_DOI_20849560_MANUSCRIPT
This record contains a manuscript and supporting reproducibility materials for “Ledger-Valid Recovery Diagnostics for Quantum Computing: A Prespecified Sequential Audit for Claim-Limited Recovery Validation.” The paper proposes a methodological validation framework for quantum-computing recovery claims. Its central claim is that endpoint recovery success is necessary but not sufficient for a strong recovery claim when calibration failure, false-carrier acceptance, postselection artifacts, leakage, sentinel blindness, or hidden discard can carry failure modes out of view. The manuscript introduces a prespecified S0–S4 ledger audit that converts familiar diagnostic ingredients—label calibration, candidate recovery, false-carrier challenge tests, postselection/leakage accounting, and sentinel observability—into an ordered, claim-limiting taxonomy. A supportive recovery claim is permitted only when all required gates pass; otherwise, the first failed stage determines a lower claim ceiling and an interpretable failure class. The evaluation is based on synthetic endpoint-level validation suites rather than circuit-level simulation or hardware data. These suites test the behavior of the decision architecture under clean support, degraded observability, false-carrier artifacts, postselection/leakage artifacts, sentinel-blind cases, correlated artifacts, and adversarial overlap. The results show a strong specificity/sensitivity tradeoff: the full ledger protocol sharply reduces synthetic non-support supportive-call rates relative to endpoint-only reporting, but with substantial loss of mechanism-positive support sensitivity. The paper explicitly treats this as a conservative claim-validity architecture, not as a new quantum error-correcting code, new physical observable, hardware speedup, or proof of improved device performance. The supporting materials document the final synthetic validation protocol, endpoint definitions, decision-bound implementation, direction-aware threshold sensitivity analysis, latent-threshold eligibility analysis, mechanism-negative/latent-eligible boundary cases, and figure/table traceability. The archive is intended to support review of the manuscript’s aggregate numerical claims and methodological provenance. Hardware implementation, independent simulator validation, and full raw-event-ledger reproduction are identified as future extensions. Suggested keywords: quantum computing; quantum error correction; validation methodology; recovery diagnostics; leakage; postselection; benchmarking; synthetic validation; decision architecture; reproducibility.
Quantum Mechanics from Constraint and Closure: A Structural Explanation and Derivational Roadmap assembles a sequence of ENSO quantum-foundations results into a single explanatory architecture. The paper asks why central structures of quantum mechanics—complex phase, conjugation, quadratic norm, Schrödinger dynamics, spinorial return, Born weighting, and measurement—belong together rather than appearing as an unrelated collection of formal ingredients. The proposed route begins with constraint-bearing distinction and minimal maintained recursion. Within an explicit primitive two-state class, recursive minimality selects the Fibonacci structure and its Perron root ϕ. Exchange completion (symmersion) derives a reciprocal pair, continuity and composability lift that pair to reciprocal flow, and bounded return selects a rotational generator satisfying J2=−I. Constraint-bearing eigenmodes then become phase-readable in Schrödinger form once ℏ supplies the action scale. Reciprocal product and exchange map exactly to quadratic norm and complex conjugation; Euclidean orthogonal composition fixes squared weight; repeatability leads to orthogonal projection; and intrinsic closure supplies the framework for event readability. A new canonical result provides an independent convergence. For a real symplectic system containing a genuinely non-real, non-unit scale-phase eigenmode, reality and symplectic reciprocity force the spectral orbit λ, λ̄, λ⁻¹, λ̄⁻¹ Such a mode is impossible in real symplectic dimension two; four dimensions are minimal. The resulting reciprocal-conjugate quartet contains exactly the reciprocal pairings used in the earlier closure geometry. The accompanying reproducibility archive contains the manuscript source, direct construction validator, adversarial null-test suite, captured outputs, machine-readable results, near-symplectic perturbation diagnostics, exact symbolic audit, validation-run provenance note, and package checksums. All twelve declared null tests pass in both recorded executions. The paper distinguishes completed mathematics, structural derivation, exact representation, and the remaining roadmap toward a fully native reconstruction of quantum theory. For further information about the ENSO Framework, please contact Eric Needham:ensotheory1@gmail.com
This work derives a Schrödinger-type evolution equation from first principles, starting exclusively from a discrete structural framework composed of JS-cells and SH-hub couplings.No quantum-mechanical postulates, complex wavefunctions, canonical quantization rules, or predefined physical constants are assumed at any stage. Each JS-cell carries a minimal two-channel real internal state, and neighboring cells interact locally through SH-hubs.Imposing a single universal requirement — strict conservation of a global quadratic structural norm — uniquely constrains the admissible dynamics. We show that: Norm preservation enforces an internal SO(2) symmetry, The unique generator of this symmetry is a real antisymmetric matrix J, Complex numbers and phase emerge only as a notation, not as assumptions, Local SH-hub connectivity forces a discrete Laplacian structure, The ordered continuum limit uniquely selects a first-order conservative time evolution. Only at the final stage is the resulting continuum equation identified as belonging to the Schrödinger universality class.Planck’s constant, mass, and potential appear as emergent structural parameters, fixed by discrete spatial and temporal scales. The derivation is non-circular, fully constructive, and independent of standard quantum axioms.An optional numerical sanity check confirms exact norm preservation and Schrödinger-class dispersion from the discrete update rule. This work provides a structural explanation for why Schrödinger dynamics exists, rather than assuming it.
Yong-Li Wen et al. (2026) experimentally test Feynman’s two path-integral postulates with single photons by measuring complex propagators and reconstructing 17^5 = 1,419,857 discrete path skeletons. This record accepts that experimental result within its declared paraxial domain and asks a different question: when a measurement architecture maps a richer source space into a reduced readout, which distinctions are actually measured, which are generated by deterministic composition, and which remain outside the jurisdiction of the declared task? ORIGAS Cabin 1/2 Device IX v9.5 formalizes this question as a measurement-architecture boundary. It develops task-relative representational jurisdiction, fibre-based sufficiency criteria, closure under intervention, covariance-aware model-manifold tests, frozen provenance, and independent null/recovery protocols. The public Wen/Dryad dataset is used as the empirical baseline; reconstruction depth is explicitly distinguished from independent source width and from representational completeness. The record freezes prospective tests rather than retrospectively fitting them: the P9-C/Q5/Q7 photon closure programme, a Point-0 balance prediction centered on an operationally definedμ = 1/2, +t/−t, K × T OFF/ON/recovery law, and the previously frozen Double RingCross outer-Solar-System prediction as a chronologically independent external adjudicator. A separate author-frozen layer records sociotechnical and AI-jurisdiction predictions, including the France 2026–2027 case study. These are explicitly separated from the empirical Wen photon results.** No Device IX calculation is presented as a measured validation of a physical World B, Complete EPR, +t/−t, K, T, or the Double RingCross. Bell/Aspect, Connes and Wen are treated as valid within their declared tasks. The narrower claim is that success of a reduced representation for one task does not establish injectivity, sufficiency, or closure for every enlarged task. Device IX is therefore experimentally adjudicable, but its prospective physical branches remain open until independently tested. The central methodological rule is: a reduction may be valid without being complete; the relevant question is whether the representation preserves the distinctions required by the task.Direct experimental test of Feynman’s path integral postulates with single photons | Science Advances
A small quantum arrangement — a reader qubit Q₁ coupled to a remainder qubit Q₂ through one fixed gate, with declared operations on Q₁ only — has access to some distinctions of the remainder and not to others. This manuscript follows that arrangement through fourteen research units — thirteen with a model, exact proofs and an executable checker (with certified interval enclosures wherever a propagation is read), and one, the maintenance criterion, a definition with checked decision logic — and organizes what they establish around four distinctions. First, protecting an access restriction is different from preserving the distinctions a reader can use: a universal leakage bound and an exact one-gate value are proved; a reset-based maintenance pulse prolongs limited leakage at the price of previously accessible information, while a reversible pulse prolongs it and preserves the full declared input class. Second, meeting protection criteria does not identify a mechanism: a prepared finite clock-controller meets four declared criteria at four sizes, and so does a static field with the clock decoupled, and so does the clock's free mean field at the largest size. Third, restoring a supporting condition does not necessarily recover the capability: coupling alignment is shown to be a supporting condition of the capability, and a restoring process that improves alignment in six matched realizations meets the full restoration standard in one, misses it narrowly in one and fails in four, while useful access is preserved in none. Fourth, retaining a relation, delivering it to a reader and using it internally are different achievements, and a supplied design's advantage can reverse when its context changes without the comparison identifying the mechanism: a sector record restores access at three of four endpoints under an added permission; an internal coupling improves the primary endpoint without reaching the reference; a two-by-two of axis term and gating cell reverses both contrasts. Each result is stated with what it does not establish. No conclusion about self-maintenance, ownership or experience is drawn. The deposit is a technical manuscript, not peer-reviewed, that consolidates fourteen closed research notes and adds no theorem; the supporting proofs are in the notes. The package contains the manuscript (PDF and Markdown), the fourteen notes with two errata, every checker and its run record, the failure-path harness with its recorded outputs and a release adapter, the two earlier baseline notes, a claim-to-proof map, a correction ledger, a source lock and a manifest with the SHA-256 of every file. Every number printed in the manuscript was read by script from a packaged run record. Running checks/run_all.sh reproduces every checker's recorded summary line with the declared dependencies only (Python 3.11 or later; sympy 1.14, mpmath 1.3, numpy); the harness coverage, including the checkers it does not cover, is stated in §10 and Appendix A. Drafting and computation were AI-assisted under the author's direction. Archive SHA-256: 119d835b2d2e19463f3eb6478ea34ddbdf4deea220a5d6d6fe528dcf7061bedb.
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.