| { |
| "version": "6.0.0", |
| "date": "2026-10-13", |
| "author_line": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki", |
| "claims": [ |
| { |
| "id": "weighted_action", |
| "status": "proved under model", |
| "statement": "Exact weighted shape/translation split and fixed-end centroid correction.", |
| "hypotheses": [ |
| "positive constant weights", |
| "disjoint supports or declared diagonal metric", |
| "H1 center paths" |
| ], |
| "evidence": [ |
| "manuscript geometry theorem", |
| "geometry checks2/3" |
| ], |
| "limits": "Metric is not heat; not global braid optimization.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "local_tracking", |
| "status": "proved under model", |
| "statement": "Inside core the residual is OU, while the biased instantaneous minimum is a+v/kappa.", |
| "hypotheses": [ |
| "local quadratic potential and tilt", |
| "overdamped constant local mobility", |
| "valid before first core exit" |
| ], |
| "evidence": [ |
| "foundation derivation", |
| "physics derivation" |
| ], |
| "limits": "Global OU is separate; hardware not shown.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "radial_metric", |
| "status": "proved under model", |
| "statement": "Compact actuator coefficient follows by angular integration and boundary cancellation.", |
| "hypotheses": [ |
| "smooth radial compact support", |
| "declared integrated drift-force norm" |
| ], |
| "evidence": [ |
| "independent polar quadrature", |
| "foundation and geometry derivations" |
| ], |
| "limits": "The force inside core is nonzero; coefficient is not joules.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "homotopy", |
| "status": "proved under model", |
| "statement": "Pairwise residual below clearance implies a noncolliding straight-line homotopy.", |
| "hypotheses": [ |
| "continuous strands", |
| "strict pair margins", |
| "specified endpoint connectors" |
| ], |
| "evidence": [ |
| "foundation proof" |
| ], |
| "limits": "Margin violation is not exact braid or logical failure.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "tracking_divergence", |
| "status": "proved under model", |
| "statement": "Exact Brownian sample interpolation costs expected4 C Dc T/h.", |
| "hypotheses": [ |
| "planar Brownian common motion", |
| "H1 interpolation", |
| "quadratic speed metric" |
| ], |
| "evidence": [ |
| "foundation proof", |
| "original v5 tests" |
| ], |
| "limits": "Different colored-noise/tolerance cost gives a different problem.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "inverse_lyapunov", |
| "status": "proved under model", |
| "statement": "All covariance-matching drifts are (Q/2+J) Sigma inverse with skew J.", |
| "hypotheses": [ |
| "Sigma positive definite", |
| "Q symmetric PSD" |
| ], |
| "evidence": [ |
| "geometry proof", |
| "nonsymmetric covariance check" |
| ], |
| "limits": "Strict Q gives stability; semidefinite Q alone does not.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "positive_graph", |
| "status": "proved under model", |
| "statement": "Lift off-diagonal signs and forbidden edges exactly decide positive-graph target realizability.", |
| "hypotheses": [ |
| "fixed W,U,kappa and Q", |
| "symmetric shape drift", |
| "target positive covariance" |
| ], |
| "evidence": [ |
| "geometry theorem", |
| "recovery and counterexample check" |
| ], |
| "limits": "Floating signs are tolerance checks; no general physical realization promised.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "graph_minimax", |
| "status": "proved under model", |
| "statement": "Worst stationary pair variance optimum q0/(kappa+2G/(n-1)) attained by uniform complete graph.", |
| "hypotheses": [ |
| "equal weights and priorities", |
| "all edges", |
| "fixed isotropic noise", |
| "fixed total gain budget" |
| ], |
| "evidence": [ |
| "geometry theorem", |
| "exact graph equality", |
| "1000 random illustrations" |
| ], |
| "limits": "Known resistance/control antecedents; no first-discovery or finite-horizon optimum claim.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "graph_sdp", |
| "status": "proved under model", |
| "statement": "Schur blocks encode pair variance constraints in the isotropic symmetric inverse-drift model.", |
| "hypotheses": [ |
| "positive symmetric drift", |
| "Q=q0 I", |
| "affine gain/cost constraints" |
| ], |
| "evidence": [ |
| "geometry derivation", |
| "Schur boundary checks" |
| ], |
| "limits": "No delivered hardware optimizer or general anisotropic SDP equivalence.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "covariance_allowance", |
| "status": "proved under model", |
| "statement": "Drift/noise norm uncertainties bound stationary covariance discrepancy.", |
| "hypotheses": [ |
| "nominal symmetric A >=a0 I", |
| "norm(E)<a0", |
| "true Q PSD" |
| ], |
| "evidence": [ |
| "geometry proposition", |
| "independent perturbation check" |
| ], |
| "limits": "Does not cover unmodeled extra states or common-to-shape leakage.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "covariance_martingale", |
| "status": "proved under model", |
| "statement": "Stationary covariance inverse yields a true finite-time exponential martingale and maximal ellipsoid bound.", |
| "hypotheses": [ |
| "stable drift", |
| "stationary Sigma positive definite", |
| "independent spatial copies", |
| "deterministic initial state" |
| ], |
| "evidence": [ |
| "geometry proof", |
| "Gaussian moment check" |
| ], |
| "limits": "Can be conservative; singular covariance requires reachable-subspace treatment.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "ou_mean_and_transform", |
| "status": "established prior art rederived", |
| "statement": "Exact interior disk OU mean-exit integral and Kummer Laplace transform.", |
| "hypotheses": [ |
| "isotropic planar OU", |
| "R,kappa,d positive", |
| "declared initial radius" |
| ], |
| "evidence": [ |
| "risk proofs", |
| "generator/integral/transform checks", |
| "Grebenkov reference" |
| ], |
| "limits": "These identities predate VSCE.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "poisson_risk", |
| "status": "proved under model", |
| "statement": "Centered continuous exit risk <=T/m0 via positive stopped Poisson function.", |
| "hypotheses": [ |
| "OU centered start", |
| "bounded disk", |
| "finite T" |
| ], |
| "evidence": [ |
| "risk proof", |
| "boundary/generator checks" |
| ], |
| "limits": "Not generic Markov inequality from mean alone; decimal values not interval-certified.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "radial_envelope", |
| "status": "proved under model", |
| "statement": "Same Poisson bound holds under inward radial drift and covariance upper envelopes.", |
| "hypotheses": [ |
| "stopped Ito model", |
| "z dot b <=-kappa_star |z|\u00b2", |
| "GG^T <=2 d_star I", |
| "centered initial state" |
| ], |
| "evidence": [ |
| "risk Hessian/generator proof", |
| "internal review" |
| ], |
| "limits": "Empirical envelopes must be justified independently.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "pde_survival", |
| "status": "numerically estimated", |
| "statement": "Positive spatial discretization estimates continuous killed-process survival.", |
| "hypotheses": [ |
| "declared radial OU", |
| "beta<=15", |
| "8..2000 cells", |
| "resolved numerical probability" |
| ], |
| "evidence": [ |
| "grid refinement", |
| "mean and transform residuals", |
| "positive decay check" |
| ], |
| "limits": "Not continuum interval certificate; unresolved tails marked null.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "sample_bias", |
| "status": "internally tested", |
| "statement": "Nested finite grids miss first exits even with exact sampled transitions.", |
| "hypotheses": [ |
| "fixed seeded OU example", |
| "30000 paths", |
| "fine step0.001", |
| "nested grids" |
| ], |
| "evidence": [ |
| "raw counts551/489/439/313/248", |
| "figure2" |
| ], |
| "limits": "Not a hardware observation; counts do not establish continuous survival.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "drift_tube", |
| "status": "proved under model", |
| "statement": "Bounded drift discrepancy and initial uncertainty reduce usable clearance pathwise.", |
| "hypotheses": [ |
| "same Brownian driver", |
| "positive restoring rate", |
| "bounded adapted discrepancy", |
| "local stopped validity" |
| ], |
| "evidence": [ |
| "calibration theorem", |
| "direct ODE integration checks" |
| ], |
| "limits": "Nonpositive remaining margin rejects the certificate.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "girsanov_allowance", |
| "status": "established method applied", |
| "statement": "Same-diffusion event allowance <=b sqrt(T/(8d)).", |
| "hypotheses": [ |
| "common full-rank diffusion", |
| "same initial law", |
| "bounded adapted drift", |
| "augmented-space/data-processing if hidden randomness" |
| ], |
| "evidence": [ |
| "calibration derivation", |
| "internal review" |
| ], |
| "limits": "Not a diffusion-mismatch bound; path KL is inequality for hidden noise.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "diffusion_confidence", |
| "status": "proved under observation model", |
| "statement": "OU innovation chi-square pivot gives simultaneous upper diffusion bounds and independent-test risk budget.", |
| "hypotheses": [ |
| "known kappa", |
| "exact uncensored Gaussian states", |
| "known zero mean", |
| "fixed list", |
| "independent test run" |
| ], |
| "evidence": [ |
| "calibration proofs", |
| "5000 batches coverage4758", |
| "unit coverage tests" |
| ], |
| "limits": "No camera-noise, fitted-kappa or adaptive-selection guarantee without new likelihood.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "pure_braid_obstruction", |
| "status": "proved under semantics", |
| "statement": "Endpoint population routing factors through Bn to Sn and erases every pure braid.", |
| "hypotheses": [ |
| "fixed endpoint population semantics", |
| "no trajectory/internal memory" |
| ], |
| "evidence": [ |
| "computation theorem", |
| "double-exchange counterexample" |
| ], |
| "limits": "An internal representation can change semantics; it must be implemented.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "channel_bridge", |
| "status": "proved conditionally", |
| "statement": "Exogenous mixture with uniformly good channels gives half-diamond error <=eta+(1-eta)delta.", |
| "hypotheses": [ |
| "noise independent of inputs/references", |
| "every realization CPTP", |
| "good event noise-only", |
| "uniform good-channel bound" |
| ], |
| "evidence": [ |
| "computation proof", |
| "tight bit-flip example" |
| ], |
| "limits": "Geometric clearance alone supplies no coherence bound; no postselection shortcut.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "generator_error", |
| "status": "proved under model", |
| "statement": "Finite bounded Lindblad-generator mismatch controls final channel distance.", |
| "hypotheses": [ |
| "same finite physical space", |
| "CPTP propagators", |
| "bounded operators", |
| "nonnegative rates" |
| ], |
| "evidence": [ |
| "computation Duhamel proof", |
| "dephasing examples" |
| ], |
| "limits": "Infinite oscillator requires energy/truncation assumptions.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "quantum_adapter", |
| "status": "established prior art applied", |
| "statement": "Polynomial coherent-root dissipator provides a quantum implementation adapter.", |
| "hypotheses": [ |
| "distinct roots", |
| "well-defined oscillator-domain dynamics", |
| "declared code/projector" |
| ], |
| "evidence": [ |
| "physics derivations", |
| "Gram checks", |
| "Albert etal2016" |
| ], |
| "limits": "No VSCE invention of root encoding; no global dissipative gap certified.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "cat_phase", |
| "status": "proved in ideal adiabatic branch", |
| "statement": "Symmetric exchange relative phase pi-2pi A/sinh(2A) depends on amplitude despite fixed braid.", |
| "hypotheses": [ |
| "ideal adiabatic code transport", |
| "symmetric roots", |
| "correct endpoint overlap" |
| ], |
| "evidence": [ |
| "physics derivation", |
| "seven overlap quadratures" |
| ], |
| "limits": "No measured gate or guaranteed adiabatic error.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "cutoff_invertibility", |
| "status": "proved algebraically", |
| "statement": "Truncated polynomial of nilpotent annihilation operator is invertible when constant term nonzero.", |
| "hypotheses": [ |
| "finite standard Fock cutoff", |
| "nonzero root product" |
| ], |
| "evidence": [ |
| "physics proof", |
| "determinant and residual checks" |
| ], |
| "limits": "Near-dark singular values are not exact dark kernels.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "fdt_floor", |
| "status": "proved within thermal model", |
| "statement": "Drift, mobility and diffusion must satisfy equilibrium compatibility; independent thermal noise leaves a differential floor.", |
| "hypotheses": [ |
| "constant-mobility equilibrium Langevin model", |
| "declared technical common forcing" |
| ], |
| "evidence": [ |
| "physics equations", |
| "primary FDT references" |
| ], |
| "limits": "Active engineering requires energy/noise/bandwidth accounting.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "gaussian_task", |
| "status": "established primitive refined", |
| "statement": "Stationary OU averaging covariance and perturbation allowances specify matched-accuracy benchmarks.", |
| "hypotheses": [ |
| "positive symmetric linear drift", |
| "stationary preparation", |
| "declared readout" |
| ], |
| "evidence": [ |
| "12 independent quadratures", |
| "three calibration cases", |
| "prior thermodynamic linear algebra" |
| ], |
| "limits": "No demonstrated advantage; includes conditioning and all overhead.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "hardware", |
| "status": "proposed only", |
| "statement": "Four falsifiable experimental classes are specified.", |
| "hypotheses": [ |
| "apparatus and calibration to be built" |
| ], |
| "evidence": [ |
| "physics and research-program protocols" |
| ], |
| "limits": "0/4 executed; no device performance evidence.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "ai_gain", |
| "status": "not established", |
| "statement": "AI can act as a candidate-control search and analysis system.", |
| "hypotheses": [ |
| "validated contracts and held-out experiments" |
| ], |
| "evidence": [ |
| "algorithmic research proposal" |
| ], |
| "limits": "No intelligence gain, RSI or LLM benchmark result.", |
| "worldwide_novelty_confirmed": false |
| }, |
| { |
| "id": "exotic_vacuum", |
| "status": "not established", |
| "statement": "Exotic quantum-field/false-vacuum manipulation remains the research vision.", |
| "hypotheses": [ |
| "explicit field model and physical mechanism still needed" |
| ], |
| "evidence": [], |
| "limits": "Classical traps and cat states do not establish this goal.", |
| "worldwide_novelty_confirmed": false |
| } |
| ] |
| } |
|
|
