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Resonant Fractal Nature Theory — a mathematical framework for coherent patterns on graph-coupled networks.

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© 2026 TNFR project — MIT licensed.DOI 10.5281/zenodo.17602860
docs
grammar
PHYSICS_VERIFICATION.md
API_CONTRACTS.mdCANONICAL_OZ_SEQUENCES.mdEMPIRICAL_CONFRONTATION_EEG.mdREADME.mdSTRUCTURAL_FIELDS_TETRAD.mdSTRUCTURAL_INTERFACE_THEORY.md
theory
APPLIED_STRUCTURAL_ANALYSIS.mdCATALOG_TYPE_HYGIENE_PROGRAMME.mdDISSIPATIVE_AND_OPEN_SYSTEMS.mdEMERGENT_ONTOLOGY.mdEXTENDED_FIELDS_AND_DERIVED_QUANTITIES.mdFUNDAMENTAL_THEORY.mdGAUGE_SYMMETRY_AND_UNIFICATION.mdGLOSSARY.mdMATHEMATICAL_DYNAMICS_BASIS.mdMINIMAL_STRUCTURAL_DEGREES.mdNUCLEUS_A_PRIME_LADDER_ATLAS.mdNUCLEUS_B_EQUIVARIANCE_OBSTRUCTIONS.mdPHYSICAL_REGIME_CORRESPONDENCES.mdREADME.mdREMESH_INFINITY_DERIVATION.mdSTRUCTURAL_CONSERVATION_THEOREM.mdSTRUCTURAL_OPERATORS.mdSTRUCTURAL_STABILITY_AND_DYNAMICS.mdTNFR_BSD_RESEARCH_NOTES.mdTNFR_HODGE_RESEARCH_NOTES.mdTNFR_NAVIER_STOKES_RESEARCH_NOTES.mdTNFR_NUMBER_THEORY.mdTNFR_P_VS_NP_RESEARCH_NOTES.mdTNFR_RIEMANN_RESEARCH_NOTES.mdTNFR_VARIATIONAL_PRINCIPLE.mdTNFR_YANG_MILLS_RESEARCH_NOTES.mdTNFR.pdfUNIFIED_GRAMMAR_RULES.md
factorization-lab
analysis
analyze_patterns.pycertificate_manifest.py
benchmarks
benchmark_analysis.pybenchmark_expansion_suite.pyfull_spectrum_factorization.pypaley_gap_extended.pypaley_gap_smoke.pytest_benchmark_suite.py
demos
experiment_contexts
exp_0b1663cd19b7.jsonexp_0bf0054b7474.jsonexp_75a4c8ca616a.jsonexp_848ee0fd1857.jsonexp_f6fe00562193.jsonexp_fdf3da424e1e.json
failure_telemetry_batch.pyfeedback_integration_demo.pyintegration_demo_snapshots.dbseed_management_integration_demo.pysnapshot_integration_demo.pytrajectory_143.jsontrajectory_77.jsontrajectory_89.jsontrajectory_91.jsontrajectory_97.json
docs
FACTORING_PLAYBOOK.mdFALSE_POSITIVE_TEST_SUITE.mdOPERATOR_CERTIFICATES.mdROADMAP.mdSPECTRAL_ROUTE.md
experiment_contexts
exp_cebe1d9e7d8e.json
notebooks
spectral_history.ipynb
scripts
run_false_positive_tests.py
tests
run_false_positive_test_suite.pytest_cli.pytest_false_positive_methodology.pytest_false_positive_verifier.pytest_feedback_integration.pytest_partitioning.pytest_seed_management.pytest_self_opt_support.pytest_snapshot_system.pytest_spectral_paley.pytest_verification_robustness.py
tnfr_factorization
__init__.pyapi.pycli.pyfailure_telemetry.pyfeedback_adapter.pyfeedback_integration.pypartitioning.pyself_opt_support.pyspectral_paley.py
demo_snapshots.dbLICENSE_SNAPSHOT.mdPACKAGE_SUMMARY.mdREADME.mdseed_management.pysnapshot_system.pytest_certificate_hashing.pytest_installation.pyverification_trajectory_77.json
benchmarks
analyze_tetrad_universality.pyb0star_alpha_canonical_product_graphs.pybenchmark_optimization_tracks.pybenchmark_utils.pyboundary_vibration.pybridge_primes_riemann.pychiral_involution.pycli_utils.pycoherence_projector_sense_index.pycommutant_bridge.pycomposition_arithmetic.pyconfinement_zones_test.pyconservation_law_validation.pydirected_paley_bridge.pyemergent_arithmetic_pulse.pyemergent_atom_dynamics.pyemergent_atomic_shells.pyemergent_base_dimension.pyemergent_dimension_dynamics.pyemergent_fractal_pulse.pyemergent_fractal_simplex_dimension.pyemergent_integers_symmetry.pyemergent_musical_nfr.pyemergent_nfr_geometry.pyemergent_nfr_where.pyemergent_rationals.pyemergent_rhythm.pyemergent_screening.pyemergent_shell_cardinals.pyemergent_shell_ordering.pyemergent_simplex_dimension.pyemergent_substrate_symmetry.pyequivariance_wall.pyexternal_phase_gate_validation.pyfield_methods_battery.pygolden_residue_remesh_bridge.pyintegrated_force_regime_study.pyinverse_spectrum_to_symmetry.pyk_phi_safety_demo.pykuramoto_farey_bridge.pymissing_piece_bridge.pymultichannel_interface_benchmark.pynavier_stokes_recipe_bridge.pynodal_propagator_residue_bridge.pyns_moment_hierarchy_cascade.pyoperational_irreducibility.pypaley_bridge.pyphase_curvature_investigation.pyphase_wall.pyphi_s_confinement_investigation.pyprimes_as_consequence.pypulse_phase_coherence_budget.pyREADME.mdremesh_infinity_riemann_baseline.pyremesh_infinity_riemann_composed.pyremesh_infinity_riemann_modified_graph.pyremesh_infinity_riemann_operator.pyremesh_infinity_riemann_spectral_basis.pyremesh_infinity_riemann_spectral_robustness.pyremesh_infinity_riemann_spectral.pyresidue_phase_vs_riemann.pystructural_interface_benchmark.pytemporal_interface_benchmark.pytetrad_results_aggregate.pyu2_destabilization_irreversibility.pyuniversality_clusters.pyxi_c_fast_experiment.py
primality-test
benchmarks
comprehensive_benchmark.py
docs
ADVANCED_INTEGRATION.mdmathematical_foundation.mdperformance_analysis.md
examples
advanced_examples.pybasic_usage.py
tnfr_primality
__init__.py__main__.pyadvanced_cli.pyadvanced_core.pycli.pyconstants.pycore.pyoptimized.py
MANIFEST.inPACKAGE_SUMMARY.mdREADME.mdRELEASE_NOTES_v1.0.mdsetup.pytest_installation.py
tests
core_physics
__init__.pytest_conservation_laws.pytest_delta_nfr_computation_paths.pytest_delta_nfr.pytest_dispersion_coherence_sign_invariance.pytest_emergent_constants_guard.pytest_lyapunov_operators.pytest_nodal_equation.pytest_structural_triad.py
data
replay_manifests
sample_run
_manifest_summary.json_manifest.json_partition_files.txt.gz
self_opt_validation
seed_alpha
paley.json
seed_beta
integration.json
seed_gamma
unknown.json
self_optimization
test_run
partitioned
test_run
test_run_p0.jsontest_run_p1.json
_manifest_summary.json_manifest.json
engines
test_pattern_discovery_manifest.pytest_self_optimization_engine.py
mathematics
__init__.pytest_autodiff.pytest_backends.pytest_dissipative_dynamics.pytest_epi.pytest_factory_patterns.pytest_metrics.pytest_navier_stokes_refounded.pytest_number_theory_canonical.pytest_operators.pytest_residue_networks.pytest_riemann_nodal_pulse.pytest_riemann_pulse_coherence.pytest_spaces.pytest_transforms.pytest_validator.py
operators
test_canonical_operators_modern.pytest_grammar_canon.pytest_grammar_canonical_consistency.pytest_grammar_dynamics.pytest_operator_contracts.pytest_operator_strategies.py
parallel
test_fractal_partition_manifest.py
physics
test_conservation_gauge_unification.pytest_dissipative_conservation.pytest_emergent_chemistry.pytest_field_cache_invalidation.pytest_gauge.pytest_phase_transition.pytest_signatures.pytest_spectral_conservation.pytest_structural_diffusion.pytest_structural_integrity.pytest_symplectic_substrate.pytest_tetrad_bounds.pytest_variational.pytest_yang_mills_closure.pytest_yang_mills_derivability.pytest_yang_mills_scaling.pytest_yang_mills_structural_gap.pytest_yang_mills_u6_sweep.py
scripts
test_run_self_opt_validation.pytest_run_self_optimization.py
sdk
__init__.pytest_simple_advanced.py
__init__.pyconftest.pyREADME.mdtest_breast_cancer_phase_gate_demo.pytest_classical_mechanics.pytest_distributed_fft.pytest_external_phase_gate_validation.pytest_factorization_entrypoint.pytest_multichannel_interface.pytest_nodal_optimizer.pytest_phase_gate_api.pytest_replay_register_manifest.pytest_signal_confrontation.pytest_structural_interface_api.pytest_structural_interface_baselines.pytest_structural_interface_benchmark.pytest_temporal_interface.pytest_vectorized_coherence_length_regression.pytest_wine_quality_phase_gate_demo.pyutils.py
examples
01_foundations
01_hello_world.py02_musical_resonance.py03_network_formation.py04_operator_sequences.py05_coherence_evolution.py06_network_topologies.py07_phase_transitions.py08_emergent_phenomena.py09_visualization_suite.py10_simplified_sdk_showcase.py
02_physics_regimes
11_classical_limit_comparison.py115_operator_contract_audit.py12_classical_mechanics_demo.py13_quantum_mechanics_demo.py14_uncertainty_and_interference.py15_train_crossing_demo.py17_conservation_law_demo.py26_gauge_structure_demo.py27_variational_principle_demo.py28_dissipative_systems_demo.py29_lyapunov_stability_demo.py30_self_optimization_demo.py31_mathematical_constants_basis.py33_complex_field_unification.py34_conservation_protocol_suite.py35_tetrad_irreducibility.py36_grammar_violation_detector.py37_operator_tetrad_synergy.py38_grammar_energy_landscape.py39_nodal_equation_decomposition.py
03_riemann_zeta
157_nodal_pulse_phase_attack.py41_von_mangoldt_zeta_demo.py42_riemann_zeros_as_resonances.py43_prime_ladder_hamiltonian_demo.py44_weil_explicit_formula_demo.py45_li_keiper_demo.py46_weil_tnfr_positivity_demo.py47_alpha_sweep_demo.py48_admissible_family_sweep_demo.py49_nodeaware_gauge_sweep_demo.py50_uniform_coercivity_demo.py51_adaptive_coercivity_demo.py52_paley_gap_coercivity_demo.py53_lyapunov_spectral_positivity_demo.py54_hilbert_polya_demo.py55_structural_zero_density_demo.py56_spectral_emergence_demo.py57_admissible_rescaling_demo.py58_oscillatory_correction_demo.py
04_riemann_L_twisted
59_dirichlet_l_function_demo.py60_dirichlet_l_continuation_demo.py61_dirichlet_l_hamiltonian_demo.py62_dirichlet_weil_explicit_formula_demo.py63_dirichlet_li_keiper_demo.py64_twisted_weil_positivity_demo.py65_twisted_alpha_sweep_demo.py66_twisted_admissible_family_sweep_demo.py67_twisted_nodeaware_gauge_sweep_demo.py68_twisted_hermite_family_demo.py69_twisted_coercivity_uniform_demo.py70_twisted_paley_gap_coercivity_demo.py71_twisted_lyapunov_spectral_demo.py72_twisted_hilbert_polya_demo.py73_twisted_structural_zero_density_demo.py74_twisted_spectral_emergence_demo.py75_twisted_admissible_rescaling_demo.py76_twisted_oscillatory_correction_demo.py
05_type_hygiene
77_remesh_infinity_residue_split_demo.py78_nuf_type_signature_demo.py79_epi_type_signature_demo.py80_phi_type_signature_demo.py81_dnfr_type_signature_demo.py82_remesh_window_type_signature_demo.py83_delta_phi_max_type_signature_demo.py84_coupling_weights_type_signature_demo.py85_tetrad_closure_signature_demo.py86_currents_closure_signature_demo.py87_aggregates_closure_signature_demo.py88_urules_consistency_signature_demo.py89_operator_catalog_discipline_signature_demo.py
06_navier_stokes
158_navier_stokes_two_face_refounded.py
07_number_theory
100_prime_families_orbits.py101_numbers_as_coupled_network.py102_nodal_flow_primes_equilibria.py116_nuf_emergent_prime_visibility.py146_primality_grammatical_inertness.py147_numbers_as_free_monoid_words.py148_capacity_arm_carries_von_mangoldt.py149_p14_is_the_capacity_arm_operator.py153_structural_frequency_rank_cyclotomy.py40_arithmetic_number_theory.py94_generative_number_construction.py95_primes_from_spectral_waves.py96_spectral_vibration_of_coherence.py97_goldbach_additive_multiplicative.pyemergent_chemistry_particles_demo.py
08_emergent_geometry
103_emergent_substrate_meets_riemann.py106_per_node_polarization_geometry.py107_orthogonal_structure_emergent_geometry.py108_emergent_field_generating_structure.py112_structure_predicts_coherence_flow.py113_overdamped_projection_bridge.py114_substrate_conserved_quantities.py117_emergent_geometry_residue_graph.py118_emergent_vs_classical_operator.py119_phase_sector_directed_residue.py120_symmetry_wall_substrate_vs_spectrum.py121_canonical_symmetry_break_negative.py122_factorization_phase_sector.py123_symmetry_sector_decomposition.py124_emergent_metric_fractal_consistency.py125_node_is_the_emergent_substrate.py126_two_layers_base_fiber.py127_base_is_emergent_not_imposed.py128_base_substrate_coemergence.py129_spectral_gap_base_fiber_clock.py130_operators_break_substrate_charges.py131_coemergent_loop_convergence.py132_geometric_phase_holonomy.py133_psi_topological_defects.py134_spectral_dimension_heat_kernel.py135_arrow_of_time_h_theorem.py136_heat_kernel_coefficients.py137_synchronization_transition.py138_structure_frequency_synchronization.py139_grammar_formal_language.py140_grammar_automaton.py141_grammar_rule_decomposition.py142_grammar_operator_quotient.py143_glyphic_function_sublanguage.py144_branching_combinator.py145_syntactic_monoid_starfree.py150_emergent_grammatical_pattern_parry.py151_grammar_in_emergent_geometry.py152_operator_contract_tetrahedron.py154_conductor_annotated_qr_spectrum.py155_ontological_position_of_numbers.py156_emergence_directness_law.py98_emergent_symplectic_substrate.py99_structural_diffusion.pyunified_fields_showcase.py
09_millennium
109_p_vs_np_coherence_synthesis.py110_bsd_rank_structural_pressure.py111_hodge_discrete_and_honest_gap.py
10_applications
159_empirical_confrontation_pipeline.py90_phase_gate_monitor_demo.py91_breast_cancer_phase_gate_demo.py92_wine_quality_phase_gate_demo.py93_structural_interface_demo.pypytorch_cuda_demo.py
README.md
scripts
replay
__init__.pyregister_manifest.py
__init__.pyREADME.mdrebuild_failure_manifest.pyrun_reproducible_benchmarks.pyrun_self_opt_validation.pyrun_self_optimization.pytnfr_is_prime.pyvalidate_conservation_law.pyverify_internal_references.py
src
core
__init__.pyevaluation.py
tnfr
backends
__init__.pyjax_backend.pynumpy_backend.pyoptimized_numpy.pyREADME.mdtorch_backend.py
cli
__init__.py__init__.pyiarguments.pyarguments.pyiexecution.pyexecution.pyiinteractive_validator.pyREADME.mdutils.pyutils.pyi
compat
__init__.pydataclass.pyjsonschema_stub.pymatplotlib_stub.pynumpy_stub.pyREADME.md
config
__init__.py__init__.pyiconstants.pyconstants.pyidefaults_core.pydefaults_init.pydefaults_metric.pydefaults.pyfeature_flags.pyfeature_flags.pyiglyph_constants.pyoperator_names.pyoperator_names.pyiphysics_derivation.pyprecision_modes.pypresets.pypresets.pyiREADME.mdsecurity.pythresholds.pytnfr_config.py
constants
__init__.py__init__.pyialiases.pyaliases.pyicanonical.pymetric.pymetric.pyioperational.py
core
__init__.pycontainer.pydefault_implementations.pyexceptions.pyinterfaces.pyREADME.md
dynamics
__init__.py__init__.pyiadaptation.pyadaptation.pyiadaptive_sequences.pyadaptive_sequences.pyiadelic.pyadvanced_cache_optimizer.pyadvanced_fft_arithmetic.pyaliases.pyaliases.pyibifurcation.pycache_aware_fft_engine.pycanonical.pycanonical.pyicomputational_hub.pycoordination.pycoordination.pyidistributed_fft.pydnfr.pydnfr.pyidynamic_limits.pyemergent_centralization.pyemergent_integration_engine.pyfeedback.pyfeedback.pyifft_backend.pyfft_cache_coordinator.pyfft_dispatchers.pyfft_engine.pyfft_workers.pyfused_dnfr.pyhomeostasis.pyhomeostasis.pyiintegrators.pyintegrators.pyilearning.pylearning.pyimetabolism.pymulti_modal_cache.pynbody_tnfr.pynbody.pynodal_optimizer.pyoptimization_orchestrator.pypropagation.pyREADME.mdruntime.pyruntime.pyisampling.pysampling.pyiselectors.pyselectors.pyiself_optimizing_engine.pyspectral_structural_fusion.pystructural_cache.pystructural_clip.pysymplectic.pyunified_backend.pyunified_mathematical_cache_orchestrator.py
engines
computation
__init__.pyfft_engine.pyunified_fft_engine.pyunified_gpu_system.py
constants
__init__.pycanonical.pyoperational.py
integration
__init__.pyemergent_integration.py
pattern_discovery
__init__.pymathematical_patterns.pymulti_modal_cache.py
self_optimization
__init__.pyengine.py
__init__.pyREADME.md
errors
__init__.pycontextual.py
factorization
__init__.py
flatten
README.md
gamma
README.md
glyph_history
README.md
glyph_runtime
README.md
immutable
README.md
initialization
README.md
io
README.md
math
__init__.pyfields_symbolic.pygrammar_validators.pyoptimizer.pyREADME.mdsymbolic.py
mathematics
__init__.pybackend.pybackend.pyidynamics.pydynamics.pyiepi.pyepi.pyigenerators.pygenerators.pyiliouville.pymetrics.pymetrics.pyinumber_theory.pyoperators_factory.pyoperators_factory.pyioperators.pyoperators.pyioptimized_primality.pyprojection.pyprojection.pyiREADME.mdruntime.pyruntime.pyispaces.pyspaces.pyispectral.pytransforms.pytransforms.pyiunified_cache.pyunified_numerical.pyzeta.py
metrics
__init__.py__init__.pyibuffer_cache.pybuffer_cache.pyicache_utils.pycoherence.pycoherence.pyicommon.pycommon.pyicore.pycore.pyidiagnosis.pydiagnosis.pyiemergence.pyexport.pyexport.pyiglyph_timing.pyglyph_timing.pyilearning_metrics.pylearning_metrics.pyilocal_coherence.pyphase_coherence.pyphase_compatibility.pyREADME.mdreporting.pyreporting.pyisense_index.pysense_index.pyitelemetry.pytetrad.pytrig_cache.pytrig_cache.pyitrig.pytrig.pyi
multiscale
__init__.pyhierarchical.pyREADME.md
navier_stokes
__init__.pyconservative_face.pyoperator.py
node
README.md
observers
README.md
operators
network_analysis
__init__.pysource_detection.py
postconditions
__init__.pymutation.py
preconditions
__init__.pycoherence.pydissonance.pyemission.pymutation.pyreception.pyresonance.py
strategies
__init__.pydefaults.pygpu_strategies.pystrategy.py
__init__.py__init__.pyialgebra.pycanonical_patterns.pycascade.pycoherence.pycontraction.pycoupling.pycycle_detection.pydefinitions_base.pydefinitions.pydefinitions.pyidissonance.pyemission.pyexpansion.pygrammar_application.pygrammar_canon.pygrammar_context.pygrammar_core.pygrammar_dynamics.pygrammar_error_factory.pygrammar_memoization.pygrammar_patterns.pygrammar_telemetry.pygrammar_types.pygrammar_u6.pygrammar_validate.pygrammar.pygrammar.pyihamiltonian.pyhealth_analyzer.pyintrospection.pyjitter.pyjitter.pyilifecycle.pymetabolism.pymetrics_basic.pymetrics_core.pymetrics_network.pymetrics_structural.pymetrics_u6.pymetrics.pymutation.pynodal_equation.pyoperator_contracts.pypattern_detection.pypatterns.pyREADME.mdreception.pyrecursivity.pyregistry.pyregistry.pyiremesh.pyremesh.pyiresonance.pyself_organization.pysilence.pystructural_units.pytransition.py
parallel
__init__.pyauto_scaler.pydistributed.pyengine.pymonitoring.pypartitioner.pyREADME.md
performance
guardrails.py
physics
__init__.py_helpers.pycalibration.pycanonical.pycell.pyclassical_mechanics.pyconservation_gauge_unification.pyconservation.pydissipative_conservation.pyemergent_chemistry.pyemergent_particles.pyextended.pyfields.pygauge.pyintegrity.pyinteractions.pylife.pylyapunov.pypatterns.pyphase_transition.pyquantum_mechanics.pyREADME.mdsignatures.pyspectral_conservation.pyspectral_metrics.pystructural_diffusion.pysymplectic_substrate.pytelemetry.pyunified.pyvariational.pyvectorized_ops.py
primality
__init__.py
recipes
__init__.pycookbook.pyREADME.md
riemann
__init__.pyadmissible_family_sweep.pyadmissible_rescaling.pyaggregates_closure_signature.pyalpha_sweep.pyanalytic_continuation_dirichlet.pyanalytic_continuation.pycoercivity_uniform.pycoupling_weights_type_signature.pycurrents_closure_signature.pydelta_phi_max_type_signature.pydirichlet_l.pydnfr_type_signature.pyepi_type_signature.pyhilbert_polya.pyli_keiper.pylyapunov_spectral_positivity.pynodal_pulse.pynodeaware_gauge_sweep.pynuf_type_signature.pyoperator_catalog_discipline_signature.pyoperator.pyoscillatory_correction.pypaley_gap_coercivity.pyphi_type_signature.pyprime_ladder_hamiltonian.pypulse_coherence.pyremesh_infinity_residue_split.pyremesh_window_type_signature.pyspectral_emergence.pystructural_zero_density.pytelemetry.pytetrad_closure_signature.pytwisted_admissible_family_sweep.pytwisted_admissible_rescaling.pytwisted_alpha_sweep.pytwisted_coercivity_uniform.pytwisted_hermite_family.pytwisted_hilbert_polya.pytwisted_li_keiper.pytwisted_lyapunov_spectral_positivity.pytwisted_nodeaware_gauge_sweep.pytwisted_oscillatory_correction.pytwisted_paley_gap_coercivity.pytwisted_prime_ladder_hamiltonian.pytwisted_spectral_emergence.pytwisted_structural_zero_density.pytwisted_weil_explicit_formula.pytwisted_weil_positivity.pyurules_consistency_signature.pyvon_mangoldt.pyweil_explicit_formula.pyweil_positivity.py
schemas
__init__.pygrammar.jsonREADME.md
sdk
__init__.py__init__.pyiadaptive_system.pyadaptive_system.pyibuilders.pybuilders.pyifluent.pyfluent.pyiREADME.mdself_opt.pysimple.pytemplates.pytemplates.pyiutils.py
security
__init__.pycrypto.pydatabase.pyREADME.mdsubprocess.pyvalidation.py
sequencing
__init__.pypatterns.pyREADME.md
services
__init__.pyorchestrator.pyREADME.md
sparse
__init__.pyREADME.mdrepresentations.py
structural
README.md
telemetry
__init__.pycache_metrics.pycache_metrics.pyiconstants.pynu_f.pynu_f.pyiREADME.mdunified_telemetry_system.pyverbosity.pyverbosity.pyi
tools
__init__.pydomain_templates.pyREADME.mdsequence_generator.pytnfr_is_prime_cli_optimized.pytnfr_is_prime_cli.py
topology
__init__.pyasymmetry.pyREADME.md
utils
cache_layers.pycache.pycache.pyicallbacks.pycallbacks.pyichunks.pychunks.pyidata.pydata.pyifast_diameter.pygraph.pygraph.pyiinit.pyinit.pyiio.pyio.pyinumeric.pynumeric.pyiREADME.mdtopology.pyunified_cache.py
validation
__init__.py__init__.pyiaggregator.pybase.pycompatibility.pycompatibility.pyiconfig.pygraph.pygraph.pyihealth.pyinput_validation.pyinterface_baselines.pyinvariants.pymultichannel_interface.pyphase_gate.pyREADME.mdrules.pyrules.pyiruntime.pyruntime.pyisequence_validator.pysignal_confrontation.pysoft_filters.pysoft_filters.pyispectral.pyspectral.pyistructural_interface.pytemporal_interface.pyunified_validation_system.pyvalidator.pywindow.pywindow.pyi
visualization
__init__.pycascade_viz.pyhierarchy.pyREADME.mdsequence_plotter.py
yang_mills
__init__.pyclosure.pyderivability.pyscaling.pystructural_gap.pyu6_sweep.py
__init__.py__init__.pyi_compat.py_version.py_version.pyialias.pyalias.pyibackend_config.pycache.pycache.pyiexecution.pyexecution.pyiflatten.pyflatten.pyigamma.pygamma.pyiglyph_history.pyglyph_history.pyiglyph_runtime.pyglyph_runtime.pyiimmutable.pyimmutable.pyiinitialization.pyinitialization.pyiio.pyio.pyilocking.pylocking.pyinode.pynode.pyiobservers.pyobservers.pyiontosim.pyontosim.pyipy.typedrng.pyrng.pyisecure_config.pyselector.pyselector.pyisense.pysense.pyistructural.pystructural.pyitokens.pytokens.pyitrace.pytrace.pyitypes.pytypes.pyiunits.pyunits.pyi
tetrad_evaluator.py
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FILE: factorization-lab/analysis/certificate_manifest.py

certificate_manifest.py

Certificate telemetry manifest and optional TNFR pattern discovery.

Source Code

python
"""Certificate telemetry manifest and optional TNFR pattern discovery."""

from __future__ import annotations

import argparse
import json
import math
import sys
import time
from pathlib import Path
from typing import Any, Dict, Iterable, List, Mapping, Sequence

_REPO_ROOT = Path(__file__).resolve().parents[2]
_LAB_ROOT = _REPO_ROOT / "factorization-lab"
_SRC_ROOT = _REPO_ROOT / "src"

for candidate in (_LAB_ROOT, _SRC_ROOT):
    candidate_str = candidate.as_posix()
    if candidate_str not in sys.path:
        sys.path.insert(0, candidate_str)

_DEFAULT_CERT_DIR = _REPO_ROOT / "results" / "certificates"
_DEFAULT_OUTPUT = _REPO_ROOT / "results" / "analysis" / "certificate_manifest.json"

try:  # Factorization helpers (Paley graphs live in the lab package).
    from tnfr_factorization.spectral_paley import (  # type: ignore[attr-defined,import-not-found]  # noqa: E402
        _annotate_graph_for_fft,
        _build_paley_graph,
    )
except ModuleNotFoundError as exc:  # pragma: no cover - propagates with actionable hint
    raise RuntimeError(
        "Unable to import tnfr_factorization; run from the repository root so the lab package is on PYTHONPATH."
    ) from exc

try:  # Pattern engine for emergent mathematical structure detection.
    from tnfr.engines.pattern_discovery.mathematical_patterns import (  # noqa: E402
        EmergentPattern,
        TNFREmergentPatternEngine,
    )

    _PATTERN_ENGINE_ERROR: str | None = None
except ModuleNotFoundError as exc:  # pragma: no cover - optional dependency
    EmergentPattern = Any  # type: ignore[assignment]
    TNFREmergentPatternEngine = None  # type: ignore[assignment]
    _PATTERN_ENGINE_ERROR = str(exc)

DetectorFn = Any

_DETECTORS: Dict[str, DetectorFn] = {
    "eigenmode": lambda engine, G: engine.discover_eigenmode_resonances(G),
    "spectral": lambda engine, G: engine.discover_spectral_cascades(G),
    "entropy": lambda engine, G: engine.discover_entropy_flow_patterns(G),
    "topology": lambda engine, G: engine.discover_topological_invariants(G),
}
_DETECTOR_DEPENDENCIES: Dict[str, Sequence[str]] = {
    "eigenmode": ("spectral", "scipy"),
    "spectral": ("spectral", "physics_fields", "scipy"),
    "topology": ("spectral",),
}


def parse_args(argv: Sequence[str] | None = None) -> argparse.Namespace:
    parser = argparse.ArgumentParser(
        description=(
            "Aggregate certificate telemetry into a manifest and optionally run "
            "TNFR emergent pattern discovery over the associated Paley graphs."
        )
    )
    parser.add_argument(
        "--cert-dir",
        default=str(_DEFAULT_CERT_DIR),
        help="Directory containing certificate_*.json files",
    )
    parser.add_argument(
        "--output",
        default=str(_DEFAULT_OUTPUT),
        help="Path for the manifest JSON output",
    )
    parser.add_argument(
        "--patterns", action="store_true", help="Enable emergent pattern discovery pass"
    )
    parser.add_argument(
        "--pattern-depth",
        choices=("shallow", "medium", "deep"),
        default="medium",
        help="Discovery depth for TNFREmergentPatternEngine (default: medium)",
    )
    parser.add_argument(
        "--pattern-limit",
        type=int,
        default=128,
        help="Maximum number of certificates to feed into pattern discovery (default: 128).",
    )
    parser.add_argument(
        "--detectors",
        default="eigenmode,spectral",
        help="Comma-separated list of detectors (eigenmode,spectral,entropy,topology).",
    )
    return parser.parse_args(argv)


def _read_json(path: Path) -> Dict[str, Any]:
    with path.open("r", encoding="utf-8") as fh:
        return json.load(fh)


def _safe_float(value: Any) -> float | None:
    try:
        return float(value)
    except (TypeError, ValueError):
        return None


def _safe_int(value: Any) -> int | None:
    try:
        return int(value)
    except (TypeError, ValueError):
        return None


def _aggregate_partitions(states: Mapping[str, Any] | None) -> Dict[str, Any]:
    if not isinstance(states, Mapping):
        return {
            "partition_count": 0,
            "candidate_partitions": 0,
            "coherence_ratio_min": None,
            "coherence_ratio_max": None,
            "coherence_ratio_finite": 0,
            "inferred_factors": [],
        }

    coherence_values: List[float] = []
    inferred: List[int] = []
    candidate_partitions = 0

    for entry in states.values():
        if not isinstance(entry, Mapping):
            continue
        after = entry.get("after") or {}
        ratio = after.get("coherence_ratio")
        if isinstance(ratio, (int, float)):
            if math.isfinite(ratio):
                coherence_values.append(float(ratio))
        inferred_factor = after.get("inferred_factor")
        if inferred_factor is not None:
            inferred_factor = _safe_int(inferred_factor)
            if inferred_factor:
                inferred.append(inferred_factor)
        candidates = entry.get("candidate_factors") or []
        if isinstance(candidates, Iterable) and any(_safe_int(c) for c in candidates):
            candidate_partitions += 1

    coherence_values.sort()
    return {
        "partition_count": len(states),
        "candidate_partitions": candidate_partitions,
        "coherence_ratio_min": coherence_values[0] if coherence_values else None,
        "coherence_ratio_max": coherence_values[-1] if coherence_values else None,
        "coherence_ratio_finite": len(coherence_values),
        "inferred_factors": inferred,
    }


def _manifest_entry(path: Path) -> Dict[str, Any]:
    data = _read_json(path)
    telemetry = data.get("telemetry", {})
    partitions = _aggregate_partitions(data.get("partition_states"))
    entry = {
        "certificate_path": str(path.relative_to(_REPO_ROOT)),
        "n": _safe_int(data.get("n")),
        "candidate_factor": _safe_int(data.get("candidate_factor")),
        "phi_s": _safe_float(telemetry.get("phi_s")),
        "phase_gradient": _safe_float(telemetry.get("phase_gradient")),
        "phase_curvature": _safe_float(telemetry.get("phase_curvature")),
        "coherence_length": _safe_float(telemetry.get("coherence_length")),
        "coherence_score": _safe_float(telemetry.get("coherence_score")),
        "delta_nfr": _safe_float(telemetry.get("delta_nfr")),
        "local_coherence": _safe_float(telemetry.get("local_coherence")),
        "arith_factorization_pressure": _safe_float(
            telemetry.get("arith_factorization_pressure")
        ),
        "arith_divisor_pressure": _safe_float(telemetry.get("arith_divisor_pressure")),
        "arith_sigma_pressure": _safe_float(telemetry.get("arith_sigma_pressure")),
        "modulus": _safe_int(
            data.get("partitions", {}).get("summary", {}).get("modulus")
        ),
        "operator_count": len(data.get("operators", [])),
        **partitions,
    }
    tnfr_verification = data.get("tnfr_verification_snapshot") or data.get(
        "tnfr_verification"
    )
    if isinstance(tnfr_verification, Mapping):
        entry["tnfr_verification_passed"] = bool(tnfr_verification.get("passed", True))
        entry["tnfr_verification_hash"] = tnfr_verification.get("verification_hash")
    else:
        entry["tnfr_verification_passed"] = None
        entry["tnfr_verification_hash"] = None
    return entry


def build_manifest(cert_dir: Path) -> List[Dict[str, Any]]:
    cert_paths = sorted(cert_dir.glob("certificate_*.json"))
    manifest = []
    for path in cert_paths:
        try:
            manifest.append(_manifest_entry(path))
        except Exception as exc:  # telemetry is best-effort, log in entry
            manifest.append(
                {
                    "certificate_path": str(path.relative_to(_REPO_ROOT)),
                    "error": str(exc),
                }
            )
    return manifest


def _pattern_to_dict(pattern: EmergentPattern) -> Dict[str, Any]:
    return {
        "type": pattern.pattern_type.value,
        "confidence": pattern.discovery_confidence,
        "temporal_scale": pattern.temporal_scale,
        "spatial_scale": pattern.spatial_scale,
        "prediction_horizon": pattern.prediction_horizon,
        "compression_ratio": pattern.compression_ratio,
        "physical_interpretation": pattern.physical_interpretation,
        "applications": list(pattern.applications),
        "mathematical_signature": pattern.mathematical_signature,
    }


def discover_patterns(
    manifest: Sequence[Mapping[str, Any]],
    *,
    depth: str,
    limit: int,
    detector_names: Sequence[str],
) -> Dict[str, Any]:
    if TNFREmergentPatternEngine is None:
        raise RuntimeError(
            "Pattern discovery requested but TNFREmergentPatternEngine is unavailable: "
            f"{_PATTERN_ENGINE_ERROR or 'unknown import error'}"
        )
    engine = TNFREmergentPatternEngine(analysis_depth=depth)
    engine_metadata = engine.get_discovery_statistics()
    module_availability = engine_metadata.get("available_modules", {})

    def _module_ready(name: str) -> bool:
        value = module_availability.get(name)
        return True if value is None else bool(value)

    detectors = [name.strip().lower() for name in detector_names if name.strip()]
    detectors = [name for name in detectors if name in _DETECTORS]
    if not detectors:
        detectors = ["eigenmode", "spectral"]

    detector_warnings: Dict[str, str] = {}
    runnable_detectors: List[str] = []
    for detector_name in detectors:
        missing = [
            dep
            for dep in _DETECTOR_DEPENDENCIES.get(detector_name, ())
            if not _module_ready(dep)
        ]
        if missing:
            detector_warnings[detector_name] = (
                f"skipped (missing modules: {', '.join(sorted(missing))})"
            )
            continue
        runnable_detectors.append(detector_name)

    if not runnable_detectors:
        detector_warnings["__global__"] = (
            "no detectors runnable with current engine configuration"
        )

    analyzed = 0
    pattern_results: List[Dict[str, Any]] = []

    for entry in manifest:
        if limit is not None and analyzed >= limit:
            break
        modulus = entry.get("modulus")
        if not isinstance(modulus, int) or modulus < 5:
            continue
        try:
            graph = _build_paley_graph(modulus)
            _annotate_graph_for_fft(graph)
        except Exception as exc:
            entry_block = {
                "certificate_path": entry.get("certificate_path"),
                "error": f"graph_build_failed: {exc}",
            }
            pattern_results.append(entry_block)
            continue

        analyzed += 1
        detector_payload: Dict[str, List[Dict[str, Any]]] = {
            name: [] for name in detectors
        }

        for detector_name in runnable_detectors:
            detector_fn = _DETECTORS[detector_name]
            try:
                patterns = detector_fn(engine, graph) or []
            except Exception as exc:  # continue collecting other detectors
                detector_payload[detector_name] = [
                    {
                        "type": "error",
                        "message": str(exc),
                    }
                ]
                continue
            detector_payload[detector_name] = [
                _pattern_to_dict(pattern) for pattern in patterns
            ]

        pattern_results.append(
            {
                "certificate_path": entry.get("certificate_path"),
                "n": entry.get("n"),
                "modulus": modulus,
                "detectors": detector_payload,
            }
        )

    return {
        "detectors": detectors,
        "analyzed_certificates": analyzed,
        "engine_metadata": engine_metadata,
        "detector_warnings": detector_warnings,
        "results": pattern_results,
    }


def save_manifest(
    *,
    manifest: Sequence[Mapping[str, Any]],
    output: Path,
    cert_dir: Path,
    pattern_report: Mapping[str, Any] | None,
) -> None:
    output.parent.mkdir(parents=True, exist_ok=True)
    payload = {
        "timestamp": time.time(),
        "certificate_dir": str(cert_dir.relative_to(_REPO_ROOT)),
        "certificate_count": len(manifest),
        "manifest": list(manifest),
    }
    if pattern_report is not None:
        payload["pattern_analysis"] = pattern_report
    output.write_text(json.dumps(payload, indent=2))


def main(argv: Sequence[str] | None = None) -> None:
    args = parse_args(argv)
    cert_dir = Path(args.cert_dir).expanduser()
    output = Path(args.output).expanduser()
    manifest = build_manifest(cert_dir)

    pattern_report = None
    if args.patterns:
        detector_names = args.detectors.split(",") if args.detectors else []
        try:
            pattern_report = discover_patterns(
                manifest,
                depth=args.pattern_depth,
                limit=args.pattern_limit,
                detector_names=detector_names,
            )
        except RuntimeError as exc:
            print("Pattern discovery skipped:", exc, file=sys.stderr)

    save_manifest(
        manifest=manifest,
        output=output,
        cert_dir=cert_dir,
        pattern_report=pattern_report,
    )
    print(
        "Certificate manifest saved to",
        output,
        "covering",
        len(manifest),
        "certificates",
        "with pattern analysis" if pattern_report else "",
    )


if __name__ == "__main__":
    main()