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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/analyze_patterns.py

analyze_patterns.py

Pattern analysis toolkit for TNFR certificate manifests.

Source Code

python
"""Pattern analysis toolkit for TNFR certificate manifests."""

from __future__ import annotations

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

import numpy as np
import pandas as pd

_REPO_ROOT = Path(__file__).resolve().parents[2]
_DEFAULT_MANIFEST = _REPO_ROOT / "results" / "analysis" / "certificate_manifest.json"
_DEFAULT_OUTPUT = _REPO_ROOT / "results" / "patterns" / "pattern_summary.json"
_DEFAULT_CSV = _REPO_ROOT / "results" / "patterns" / "pattern_manifest.csv"


def parse_args(argv: List[str] | None = None) -> argparse.Namespace:
    parser = argparse.ArgumentParser(
        description="Analyze TNFR certificate manifests, correlate detector patterns, and emit reusable signatures."
    )
    parser.add_argument(
        "--manifest",
        default=str(_DEFAULT_MANIFEST),
        help="Path to certificate_manifest.json (default: results/analysis/certificate_manifest.json)",
    )
    parser.add_argument(
        "--output",
        default=str(_DEFAULT_OUTPUT),
        help="Where to write the aggregated JSON report (default: results/patterns/pattern_summary.json)",
    )
    parser.add_argument(
        "--export-csv",
        default=str(_DEFAULT_CSV),
        help="Optional CSV path for the flattened manifest entries",
    )
    parser.add_argument(
        "--min-signature-support",
        type=int,
        default=4,
        help="Minimum sample count required before emitting a reusable pattern signature (default: 4)",
    )
    return parser.parse_args(argv)


def _load_manifest(manifest_path: Path) -> Dict[str, Any]:
    if not manifest_path.exists():
        raise FileNotFoundError(f"Manifest not found: {manifest_path}")
    with manifest_path.open("r", encoding="utf-8") as fh:
        return json.load(fh)


def _normalize_manifest(doc: Dict[str, Any]) -> pd.DataFrame:
    manifest_entries = doc.get("manifest", [])
    frame = pd.DataFrame(manifest_entries)
    if frame.empty:
        raise ValueError(
            "Manifest contains no entries; run certificate_manifest.py first."
        )
    numeric_cols = [
        "n",
        "candidate_factor",
        "phi_s",
        "phase_gradient",
        "phase_curvature",
        "coherence_length",
        "coherence_score",
        "delta_nfr",
        "local_coherence",
        "arith_factorization_pressure",
        "arith_divisor_pressure",
        "arith_sigma_pressure",
        "modulus",
        "partition_count",
        "candidate_partitions",
        "coherence_ratio_min",
        "coherence_ratio_max",
        "coherence_ratio_finite",
    ]
    for column in numeric_cols:
        if column in frame.columns:
            frame[column] = pd.to_numeric(frame[column], errors="coerce")
    frame["tnfr_verification_passed"] = frame["tnfr_verification_passed"].astype(
        "float"
    )
    return frame


def _histogram(series: pd.Series, bins: int = 24) -> Dict[str, Any]:
    cleaned = series.replace([np.inf, -np.inf], np.nan).dropna()
    if cleaned.empty:
        return {"bins": [], "edges": []}
    counts, bin_edges = np.histogram(cleaned, bins=bins)
    return {"bins": counts.astype(int).tolist(), "edges": bin_edges.tolist()}


def _scatter_stats(frame: pd.DataFrame) -> Dict[str, Any]:
    trimmed = frame.dropna(subset=["phase_gradient", "arith_factorization_pressure"])
    if trimmed.empty:
        return {}
    corr = trimmed["phase_gradient"].corr(trimmed["arith_factorization_pressure"])
    return {
        "pearson": float(corr) if not math.isnan(corr) else None,
        "samples": int(trimmed.shape[0]),
        "phase_gradient": {
            "min": float(trimmed["phase_gradient"].min()),
            "max": float(trimmed["phase_gradient"].max()),
        },
        "arith_factorization_pressure": {
            "min": float(trimmed["arith_factorization_pressure"].min()),
            "max": float(trimmed["arith_factorization_pressure"].max()),
        },
    }


def _bucket_coherence(series: pd.Series) -> pd.Series:
    bins = [-np.inf, 0.5, 1.0, 1.5, 2.0, np.inf]
    labels = ["<0.5", "0.5-1.0", "1.0-1.5", "1.5-2.0", ">=2.0"]
    return pd.cut(series, bins=bins, labels=labels)


def _expand_patterns(doc: Dict[str, Any]) -> pd.DataFrame:
    pattern_report = doc.get("pattern_analysis", {})
    results = pattern_report.get("results", [])
    rows: List[Dict[str, Any]] = []
    for result in results:
        detectors = result.get("detectors") or {}
        for detector_name, patterns in detectors.items():
            if not isinstance(patterns, list):
                continue
            for pattern in patterns:
                if not isinstance(pattern, dict):
                    continue
                if pattern.get("type") == "error":
                    rows.append(
                        {
                            "certificate_path": result.get("certificate_path"),
                            "n": result.get("n"),
                            "modulus": result.get("modulus"),
                            "detector": detector_name,
                            "pattern_type": "error",
                            "error": pattern.get("message"),
                        }
                    )
                    continue
                rows.append(
                    {
                        "certificate_path": result.get("certificate_path"),
                        "n": result.get("n"),
                        "modulus": result.get("modulus"),
                        "detector": detector_name,
                        "pattern_type": pattern.get("type"),
                        "confidence": pattern.get("confidence"),
                        "temporal_scale": pattern.get("temporal_scale"),
                        "spatial_scale": pattern.get("spatial_scale"),
                        "prediction_horizon": pattern.get("prediction_horizon"),
                        "compression_ratio": pattern.get("compression_ratio"),
                    }
                )
    return pd.DataFrame(rows)


def _pattern_pivot(patterns: pd.DataFrame) -> Dict[str, Dict[str, int]]:
    if patterns.empty:
        return {}
    pivot = patterns.pivot_table(
        index="pattern_type",
        columns="coherence_bucket",
        values="certificate_path",
        aggfunc="count",
        fill_value=0,
    )
    return {idx: row.dropna().astype(int).to_dict() for idx, row in pivot.iterrows()}


def _recommend_sequence(combo: List[str]) -> List[str] | None:
    combo_set = set(combo)
    if {"spectral_cascade", "entropy_flow"}.issubset(combo_set):
        return ["UM", "RA", "IL", "THOL"]
    if {"eigenmode_resonance", "topological_invariant"}.issubset(combo_set):
        return ["AL", "IL", "RA", "SHA"]
    if "fractal_scaling" in combo_set:
        return ["UM", "RA", "REMESH", "IL"]
    return None


def _derive_signatures(
    patterns: pd.DataFrame,
    manifest: pd.DataFrame,
    *,
    min_support: int,
) -> List[Dict[str, Any]]:
    if patterns.empty:
        return []
    combos = (
        patterns.groupby("certificate_path")["pattern_type"]
        .apply(
            lambda values: tuple(sorted(set(v for v in values if v and v != "error")))
        )
        .reset_index(name="combo")
    )
    combos = combos[combos["combo"].map(len) > 0]
    if combos.empty:
        return []
    combos = combos.merge(
        manifest[
            [
                "certificate_path",
                "candidate_partitions",
                "partition_count",
                "modulus",
                "tnfr_verification_passed",
            ]
        ],
        on="certificate_path",
        how="left",
    )
    grouped = combos.groupby("combo").agg(
        sample_size=("certificate_path", "count"),
        avg_candidate_partitions=("candidate_partitions", "mean"),
        avg_partition_count=("partition_count", "mean"),
        avg_modulus=("modulus", "mean"),
        tnfr_success_rate=("tnfr_verification_passed", "mean"),
    )
    grouped = grouped[grouped["sample_size"] >= max(1, min_support)]
    signatures: List[Dict[str, Any]] = []
    for combo, stats in grouped.sort_values("sample_size", ascending=False).iterrows():
        combo_list = list(combo)
        signatures.append(
            {
                "pattern_combo": combo_list,
                "sample_size": int(stats["sample_size"]),
                "avg_candidate_partitions": float(stats["avg_candidate_partitions"]),
                "avg_partition_count": float(stats["avg_partition_count"]),
                "avg_modulus": float(stats["avg_modulus"]),
                "tnfr_success_rate": (
                    float(stats["tnfr_success_rate"])
                    if not math.isnan(stats["tnfr_success_rate"])
                    else None
                ),
                "recommended_sequence": _recommend_sequence(combo_list),
            }
        )
    return signatures


def main(argv: List[str] | None = None) -> None:
    args = parse_args(argv)
    manifest_path = Path(args.manifest).expanduser()
    output_path = Path(args.output).expanduser()
    csv_path = Path(args.export_csv).expanduser()
    output_path.parent.mkdir(parents=True, exist_ok=True)
    csv_path.parent.mkdir(parents=True, exist_ok=True)

    doc = _load_manifest(manifest_path)
    pattern_block = doc.get("pattern_analysis") or {}
    pattern_metadata = {
        "engine_metadata": pattern_block.get("engine_metadata"),
        "detector_warnings": pattern_block.get("detector_warnings"),
    }
    manifest_df = _normalize_manifest(doc)
    manifest_df["coherence_bucket"] = _bucket_coherence(
        manifest_df["coherence_ratio_max"]
    )

    patterns_df = _expand_patterns(doc)
    if not patterns_df.empty:
        patterns_df = patterns_df.merge(
            manifest_df[
                ["certificate_path", "coherence_bucket", "tnfr_verification_passed"]
            ],
            on="certificate_path",
            how="left",
        )

    telemetry_summary = {
        "phi_s_hist": _histogram(manifest_df["phi_s"]),
        "phase_gradient_hist": _histogram(manifest_df["phase_gradient"]),
        "phase_curvature_hist": _histogram(manifest_df["phase_curvature"]),
        "coherence_length_hist": _histogram(manifest_df["coherence_length"]),
        "phase_gradient_vs_arith_factorization_pressure": _scatter_stats(manifest_df),
    }

    pattern_counts = (
        patterns_df["pattern_type"].value_counts().astype(int).to_dict()
        if not patterns_df.empty
        else {}
    )
    coherence_pivot = _pattern_pivot(patterns_df) if not patterns_df.empty else {}
    signatures = _derive_signatures(
        patterns_df,
        manifest_df,
        min_support=args.min_signature_support,
    )

    summary = {
        "timestamp": time.time(),
        "manifest_path": str(manifest_path.relative_to(_REPO_ROOT)),
        "entry_count": int(manifest_df.shape[0]),
        "pattern_entry_count": int(
            patterns_df.shape[0] if not patterns_df.empty else 0
        ),
        "telemetry_summary": telemetry_summary,
        "pattern_counts": pattern_counts,
        "coherence_pattern_pivot": coherence_pivot,
        "signatures": signatures,
        "pattern_metadata": pattern_metadata,
    }

    output_path.write_text(json.dumps(summary, indent=2))
    manifest_df.to_csv(csv_path, index=False)
    if summary["pattern_entry_count"] == 0:
        warnings = pattern_metadata.get("detector_warnings")
        if warnings:
            print("Pattern detectors were skipped:", warnings)
    print(
        "Pattern analysis saved to",
        output_path,
        "with",
        summary["entry_count"],
        "entries and",
        summary["pattern_entry_count"],
        "pattern rows",
    )


def generate_optimization_manifest(
    certificate_manifest_path: Path,
    output_dir: Path,
    batch_id: str,
    certificate_filter: Dict[str, Any] | None = None,
) -> Dict[str, Path]:
    """Generate self-optimization manifest for batch certificate processing.

    Parameters
    ----------
    certificate_manifest_path : Path
        Path to the certificate_manifest.json to analyze.
    output_dir : Path
        Directory where optimization manifests will be written.
    batch_id : str
        Unique identifier for this batch optimization operation.
    certificate_filter : Dict[str, Any], optional
        Filter criteria for selecting certificates (e.g., {"coherence_ratio_max": {"min": 0.7}}).

    Returns
    -------
    Dict[str, Path]
        Dictionary with keys 'manifest_absolute' and 'summary_absolute'
        pointing to the generated manifest files.

    Notes
    -----
    Manifest format compatible with self_opt_support pipeline:
    - operation_type: 'batch_certificate_optimization'
    - batch_id: unique identifier
    - certificates: list of certificate paths with telemetry
    - filter_criteria: applied selection filters
    - aggregate_telemetry: summary statistics across batch
    """
    from datetime import datetime, timezone

    output_dir = Path(output_dir)
    output_dir.mkdir(parents=True, exist_ok=True)

    # Load and normalize manifest
    doc = _load_manifest(certificate_manifest_path)
    manifest_df = _normalize_manifest(doc)

    # Apply filters if provided
    if certificate_filter:
        for key, criteria in certificate_filter.items():
            if key in manifest_df.columns:
                if "min" in criteria:
                    manifest_df = manifest_df[manifest_df[key] >= criteria["min"]]
                if "max" in criteria:
                    manifest_df = manifest_df[manifest_df[key] <= criteria["max"]]

    # Serialize certificates with telemetry
    certificates_serialized = []
    for _, row in manifest_df.iterrows():
        cert_data = {
            "certificate_path": str(row["certificate_path"]),
            "modulus": int(row["modulus"]) if not pd.isna(row["modulus"]) else None,
            "coherence_ratio_max": (
                float(row["coherence_ratio_max"])
                if not pd.isna(row["coherence_ratio_max"])
                else None
            ),
            "phi_s": float(row["phi_s"]) if not pd.isna(row["phi_s"]) else None,
            "phase_gradient": (
                float(row["phase_gradient"])
                if not pd.isna(row["phase_gradient"])
                else None
            ),
            "phase_curvature": (
                float(row["phase_curvature"])
                if not pd.isna(row["phase_curvature"])
                else None
            ),
            "coherence_length": (
                float(row["coherence_length"])
                if not pd.isna(row["coherence_length"])
                else None
            ),
            "tnfr_verification_passed": (
                bool(row["tnfr_verification_passed"])
                if not pd.isna(row["tnfr_verification_passed"])
                else None
            ),
        }
        certificates_serialized.append(cert_data)

    # Compute aggregate telemetry
    aggregate_telemetry = {
        "certificate_count": len(certificates_serialized),
        "avg_coherence_ratio_max": (
            float(manifest_df["coherence_ratio_max"].mean())
            if "coherence_ratio_max" in manifest_df.columns
            else None
        ),
        "avg_phi_s": (
            float(manifest_df["phi_s"].mean())
            if "phi_s" in manifest_df.columns
            else None
        ),
        "avg_phase_gradient": (
            float(manifest_df["phase_gradient"].mean())
            if "phase_gradient" in manifest_df.columns
            else None
        ),
        "verification_success_rate": (
            float(manifest_df["tnfr_verification_passed"].mean())
            if "tnfr_verification_passed" in manifest_df.columns
            else None
        ),
    }

    # Build manifest
    manifest = {
        "operation_type": "batch_certificate_optimization",
        "batch_id": batch_id,
        "timestamp": datetime.now(timezone.utc).isoformat(),
        "source_manifest": str(certificate_manifest_path),
        "filter_criteria": certificate_filter or {},
        "certificates": certificates_serialized,
        "aggregate_telemetry": aggregate_telemetry,
    }

    # Write manifest
    manifest_path = output_dir / "batch_optimization_manifest.json"
    with open(manifest_path, "w") as f:
        json.dump(manifest, f, indent=2)

    # Write summary
    summary = {
        "operation_type": "batch_certificate_optimization",
        "batch_id": batch_id,
        "certificate_count": len(certificates_serialized),
        "avg_coherence_ratio_max": aggregate_telemetry["avg_coherence_ratio_max"],
        "verification_success_rate": aggregate_telemetry["verification_success_rate"],
    }
    summary_path = output_dir / "batch_optimization_summary.json"
    with open(summary_path, "w") as f:
        json.dump(summary, f, indent=2)

    return {
        "manifest_absolute": manifest_path.resolve(),
        "summary_absolute": summary_path.resolve(),
    }


if __name__ == "__main__":
    main()