{
  "schema_version": "1.0.0",
  "publications": {
    "geometry-of-resonance": {
      "claim_ids": ["CLM-CURVATURE-MASS", "CLM-FINITE-BAND-SELECTION", "CLM-DIMENSIONALITY"],
      "equation_ids": ["M1", "M2", "M3", "M4", "M7", "E5", "E6", "E12", "E17", "E18", "E70"],
      "assumption_ids": ["ASM-COMPATIBLE-ORIENTATION", "ASM-EXACT-INTEGRATED-LOCKING", "ASM-CONSTANT-POSITIVE-WEIGHT", "ASM-STANDARD-SOBOLEV-DOMAIN", "ASM-H2-CONFINEMENT-ROUTE"],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy", "https://github.com/rickyjreyes/wct-lean"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "NOT_TESTED_AS_A_UNIFIED_THEORY",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A preregistered model-specific prediction derived from the declared equations fails under adequate experimental controls."],
      "open_obligations": ["Complete action-to-field-equation derivations, PDE well-posedness and stability analysis, calibrated predictions, and independent empirical tests."]
    },
    "physical-constants-through-wave-confinement": {
      "claim_ids": [],
      "equation_ids": [],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "UNMAPPED",
      "empirical_status": "EXPLORATORY_MAPPING",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A parameter-frozen derivation fails to reproduce the target constant outside the calibration set."],
      "open_obligations": ["Register each constant separately with exact equations, free parameters, calibration data, uncertainty, failed candidates, and out-of-sample predictions."]
    },
    "p-vs-np-curvature-bounded-wave-computation": {
      "claim_ids": ["CLM-CURVATURE-COMPUTATION"],
      "equation_ids": ["M5", "E36", "E37", "E38", "E39", "E40", "E41", "E71", "E72", "E73", "E76"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy"],
      "datasets": [],
      "formalization_status": "OPEN",
      "empirical_status": "MODEL_RELATIVE",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A polynomial-overhead simulation invalidates the claimed separation under the same encoding, precision, and resource assumptions."],
      "open_obligations": ["Specify encoding, precision, update cost, resource bounds, and theorem-level relations to standard computational models."]
    },
    "long-lived-photon-resonance-water-cavities": {
      "claim_ids": [],
      "equation_ids": ["E45", "E54"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "NOT_APPLICABLE",
      "empirical_status": "PRELIMINARY_OBSERVATION",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["Blinded control cavities reproduce the reported persistence at the same rate, or the effect disappears under calibrated environmental and detector controls."],
      "open_obligations": ["Publish raw measurements, apparatus logs, control runs, environmental records, analysis scripts, and a complete independent-replication package."],
      "availability_note": "Raw-data or independent-control package not yet published."
    },
    "resonance-confinement-architecture": {
      "claim_ids": [],
      "equation_ids": [],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "ARCHITECTURE_ONLY",
      "empirical_status": "NOT_EVALUATED_AS_AGI",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A concrete implementation fails its declared stability, contradiction-control, or drift-resistance benchmarks."],
      "open_obligations": ["Publish an executable specification, benchmark suite, ablations, failure modes, and external evaluation."]
    },
    "hard-upper-bound-spatial-dimensionality": {
      "claim_ids": ["CLM-DIMENSIONALITY"],
      "equation_ids": ["M4", "E24", "E65", "E67", "E69", "E70"],
      "assumption_ids": ["ASM-STANDARD-SOBOLEV-DOMAIN", "ASM-H2-CONFINEMENT-ROUTE"],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "NOT_APPLICABLE_TO_THE_SOBOLEV_THRESHOLD",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A valid stable higher-dimensional WCT confinement mechanism that does not require the declared H2-to-L-infinity route falsifies the universal interpretation."],
      "open_obligations": ["Prove necessity of the H2 confinement route for every admissible WCT mechanism or retain explicitly conditional wording."],
      "qualification": "The verified result is the standard H2-to-L-infinity threshold for integer n at most 3; E70's universal confinement interpretation remains CONDITIONAL."
    },
    "phase-flux-field": {
      "claim_ids": ["CLM-FINITE-BAND-SELECTION"],
      "equation_ids": ["E9", "E10", "E11", "E12", "E13", "E14", "E15", "E16"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy", "https://github.com/rickyjreyes/wct-lean"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "NOT_TESTED_AS_A_PHYSICAL_SUBSTRATE",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The declared substrate fails conservation, causal-flow, or finite-band predictions under a frozen implementation."],
      "open_obligations": ["Formalize the full continuum axioms and connect the substrate to calibrated physical observables."]
    },
    "self-emergent-fourier-cymatics": {
      "claim_ids": ["CLM-FINITE-BAND-SELECTION"],
      "equation_ids": ["M3", "E12", "E13", "E14", "E16", "E57", "E58", "E59", "E61", "E62", "E64"],
      "assumption_ids": ["ASM-POSITIVE-SPECTRAL-OFFSET"],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "AUTHOR_GENERATED_SIMULATION",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The preferred spectral shell is not robust to resolution, integrator, domain, and preregistered initial-condition changes."],
      "open_obligations": ["Publish frozen code, parameters, seeds, convergence tests, expected outputs, and independent reproduction results."]
    },
    "effective-mass-solenoidal-topology": {
      "claim_ids": ["CLM-CURVATURE-MASS"],
      "equation_ids": ["M1", "E1B", "E2", "E5", "E6", "E7", "E19", "E49"],
      "assumption_ids": ["ASM-COMPATIBLE-ORIENTATION", "ASM-EXACT-INTEGRATED-LOCKING", "ASM-CONSTANT-POSITIVE-WEIGHT"],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy", "https://github.com/rickyjreyes/wct-lean"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "NOT_TESTED",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A parameter-frozen curvature-to-mass prediction disagrees with measurement after uncertainty propagation."],
      "open_obligations": ["Show dynamic selection of the curvature scale and publish a calibrated experiment that distinguishes the model from dimensional fitting."]
    },
    "rest-energy-density-weighted-loop-curvature": {
      "claim_ids": ["CLM-CURVATURE-MASS"],
      "equation_ids": ["M1", "E2", "E3", "E4", "E5", "E6", "E7", "E8"],
      "assumption_ids": ["ASM-COMPATIBLE-ORIENTATION", "ASM-EXACT-INTEGRATED-LOCKING", "ASM-CONSTANT-POSITIVE-WEIGHT"],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy", "https://github.com/rickyjreyes/wct-lean"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "NOT_TESTED",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The declared locking assumptions hold but the inferred effective wavenumber does not track measured rest energy."],
      "open_obligations": ["Replace finite algebraic support with complete curve-integral formalization and a calibrated empirical test."]
    },
    "juno-ghost-mode-neutrinos": {
      "claim_ids": [],
      "equation_ids": ["G1"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "UNMAPPED",
      "empirical_status": "DETECTABILITY_FORECAST",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A preregistered detector analysis excludes the declared modulation amplitude and frequency region."],
      "open_obligations": ["Publish executable detector-response code, frozen parameters, covariance treatment, and a data-facing test plan."]
    },
    "discrete-wave-constrained-computation": {
      "claim_ids": ["CLM-CURVATURE-COMPUTATION"],
      "equation_ids": ["E36", "E37", "E38", "E39", "E40", "E71", "E73", "E76"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "OPEN",
      "empirical_status": "MODEL_RELATIVE",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The stated encoding or simulation incurs super-polynomial overhead under the declared precision model."],
      "open_obligations": ["Formalize the machine model, encoding, precision, update cost, and bidirectional simulation theorems."]
    },
    "classical-p-vs-np-ill-posed": {
      "claim_ids": ["CLM-CURVATURE-COMPUTATION"],
      "equation_ids": [],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "CONCEPTUAL_CRITIQUE",
      "empirical_status": "NOT_APPLICABLE",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A precise theorem shows that the targeted physical-resource objection changes no stated classical complexity question."],
      "open_obligations": ["Separate philosophical critique from formal complexity claims and map every premise to the relevant literature."]
    },
    "wct-koide-mass-relation": {
      "claim_ids": ["CLM-KOIDE"],
      "equation_ids": ["TOP7"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy", "https://github.com/rickyjreyes/wct-lean"],
      "datasets": [],
      "formalization_status": "DOMAIN_PROPERTIES_ONLY",
      "empirical_status": "PHENOMENOLOGICAL",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A preregistered parameter-free derivation fails to produce Q = 2/3, or the value is shown to be imposed through state selection or normalization."],
      "open_obligations": ["Register all continuous parameters, discrete choices, normalization dependence, state-selection rules, failed candidates, and whether Q = 2/3 is output or input."],
      "qualification": "Lean proves positivity and well-definedness of the Koide expression for positive masses; it does not derive Q = 2/3."
    },
    "photodiode-prediction-protocol-ledger": {
      "claim_ids": [],
      "equation_ids": ["E45", "E54"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/photodiode", "https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": ["https://github.com/rickyjreyes/photodiode"],
      "formalization_status": "NOT_APPLICABLE",
      "empirical_status": "PREREGISTERED_PROTOCOL",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The preregistered pass conditions are not met under the specified controls, or control devices reproduce the effect."],
      "open_obligations": ["Freeze a release, document exact commands and expected outputs, publish hashes and controls, and obtain unaffiliated replication."]
    },
    "logarithmic-curvature-flow-lepton-spectrum": {
      "claim_ids": ["CLM-CURVATURE-MASS", "CLM-KOIDE"],
      "equation_ids": ["EX", "EY", "EZ", "FA", "TOP7"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance", "https://github.com/rickyjreyes/wct-sympy", "https://github.com/rickyjreyes/wct-lean"],
      "datasets": [],
      "formalization_status": "PARTIAL",
      "empirical_status": "PHENOMENOLOGICAL",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The frozen state-selection rule fails out of sample or requires retuning to recover the charged-lepton spectrum."],
      "open_obligations": ["Register the complete transformation chain, parameter freedom, state selection, failed candidates, and out-of-sample predictions."]
    },
    "nuclear-fusion-tokamak-resonance": {
      "claim_ids": [],
      "equation_ids": ["E46", "E47", "E48", "E50", "E54"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "CONTROL_ARCHITECTURE",
      "empirical_status": "SIMULATED_LOGIC",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The controller fails declared confinement, safety, or power-accounting margins under a validated plant model or hardware test."],
      "open_obligations": ["Publish controller code, plant assumptions, state variables, actuator model, safety gates, input decks, and independent simulation or experimental validation."],
      "qualification": "Simulated accounting and handoff logic are not a demonstration of physical wall-power independence."
    },
    "curvature-log-periodic-c9-deformation": {
      "claim_ids": [],
      "equation_ids": ["G1"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "UNMAPPED",
      "empirical_status": "PUBLIC_DATA_PHENOMENOLOGY",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The log-periodic model fails preregistered out-of-sample comparison after full covariance and look-elsewhere correction."],
      "open_obligations": ["Link the exact analysis code, covariance inputs, null simulations, scan correction, and frozen outputs."]
    },
    "lhcb-log-spectral-koide-winding": {
      "claim_ids": [],
      "equation_ids": ["G1", "TOP7"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/LHC", "https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": ["https://github.com/rickyjreyes/LHC"],
      "formalization_status": "NOT_APPLICABLE",
      "empirical_status": "PUBLIC_DATA_ANALYSIS",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The reported structure does not survive frozen sideband, covariance, veto-window, baseline, and out-of-sample tests."],
      "open_obligations": ["Freeze code and data versions, publish hashes and exact commands, and obtain unaffiliated reproduction."]
    },
    "recursive-ai-drift-audit": {
      "claim_ids": [],
      "equation_ids": [],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": [],
      "formalization_status": "AUDIT_NOTE",
      "empirical_status": "CHRONOLOGY_AND_CORRESPONDENCE_AUDIT",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The dated source claims do not precede the compared developments, or the claimed correspondence fails a preregistered coding rubric."],
      "open_obligations": ["Publish a claim-by-claim source ledger, comparison rubric, negative cases, and independent coding review."]
    },
    "nist-bin-stable-log-periodic-structure": {
      "claim_ids": [],
      "equation_ids": ["G1"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/NIST", "https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": ["https://github.com/rickyjreyes/NIST"],
      "formalization_status": "NOT_APPLICABLE",
      "empirical_status": "PUBLIC_DATA_ANALYSIS",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["The feature fails preregistered neighboring-ion, binning, baseline, bootstrap, implementation-parity, or held-out tests."],
      "open_obligations": ["Freeze a release with source exports, hashes, exact commands, expected outputs, and unaffiliated reproduction."],
      "qualification": "NIST is the public data provider only; no NIST endorsement, certification, or validation is claimed."
    },
    "wavelock-curvature-locked-one-way-function": {
      "claim_ids": ["CLM-CURVATURE-COMPUTATION"],
      "equation_ids": ["M5", "E36", "E71", "E72", "E75", "E76"],
      "assumption_ids": [],
      "repositories": ["https://github.com/rickyjreyes/Wavelock", "https://github.com/rickyjreyes/geometry_of_resonance"],
      "datasets": ["https://github.com/rickyjreyes/Wavelock"],
      "formalization_status": "PROTOTYPE_ONLY",
      "empirical_status": "AUTHOR_GENERATED_ADVERSARIAL_TESTS",
      "independent_replication": "NONE_RECORDED",
      "falsifiers": ["A practical inversion, collision, forgery, state-recovery, or parameter-reduction attack defeats the declared security target."],
      "open_obligations": ["Publish a frozen threat model, attack matrix, security reductions or explicit absence thereof, benchmark methodology, and independent cryptanalysis."],
      "qualification": "This is experimental research software, not production cryptography."
    }
  }
}
