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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/tnfr_factorization/failure_telemetry.py

failure_telemetry.py

Failure telemetry instrumentation for TNFR factorization attempts.

Source Code

python
"""Failure telemetry instrumentation for TNFR factorization attempts."""

from __future__ import annotations

import json
import math
import time
import uuid
from dataclasses import asdict, dataclass
from pathlib import Path
from typing import TYPE_CHECKING, Any, Dict, List

if TYPE_CHECKING:  # pragma: no cover - import cycle guard
    from .spectral_paley import SpectralAnalysisResult

__all__ = [
    "BottleneckSignal",
    "FailureTelemetryRecord",
    "FailureTelemetryManager",
]


@dataclass
class BottleneckSignal:
    """Structured description of a detected failure bottleneck."""

    code: str
    severity: str
    metric: str
    value: float
    threshold: float
    description: str

    def to_mapping(self) -> Dict[str, Any]:
        return asdict(self)


@dataclass
class FailureTelemetryRecord:
    """Full telemetry snapshot for a failed factorization attempt."""

    run_id: str
    artifact_path: str
    timestamp: float
    n: int
    modulus: int
    failure_reason: str
    failure_stage: str
    metrics: Dict[str, Any]
    bottlenecks: List[BottleneckSignal]
    recommendations: List[str]
    convergence_profile: Dict[str, Any] | None
    partition_summary: Dict[str, Any] | None
    partition_aggregation: Dict[str, Any] | None
    nodal_decoding_snapshot: Dict[str, Any] | None
    verification_report: Dict[str, Any] | None
    replay_metadata: Dict[str, Any] | None
    seed_state_path: str | None
    extra_context: Dict[str, Any] | None

    def to_mapping(self) -> Dict[str, Any]:
        payload = asdict(self)
        payload["bottlenecks"] = [signal.to_mapping() for signal in self.bottlenecks]
        return payload


class FailureTelemetryManager:
    """Manages persistence and analysis of failed factorization attempts."""

    def __init__(
        self,
        root: Path | None = None,
        *,
        manifest_limit: int = 200,
    ) -> None:
        self.root = Path(root or Path("results") / "failure_telemetry").expanduser()
        self.root.mkdir(parents=True, exist_ok=True)
        self.manifest_limit = max(1, manifest_limit)
        self.manifest_path = self.root / "failure_manifest.json"

    def record_failure(
        self,
        result: "SpectralAnalysisResult",
        *,
        failure_stage: str,
        failure_reason: str,
        snapshot_analysis: Dict[str, Any] | None = None,
        replay_metadata: Dict[str, Any] | None = None,
        extra_context: Dict[str, Any] | None = None,
    ) -> FailureTelemetryRecord:
        """Persist telemetry for a failed attempt and derive diagnostics."""

        run_id = self._make_run_id(result.n)
        day_dir = self.root / time.strftime("%Y-%m-%d", time.gmtime())
        day_dir.mkdir(parents=True, exist_ok=True)
        artifact_path = day_dir / f"{run_id}.json"

        metrics = self._collect_metrics(result)
        convergence = self._build_convergence_profile(result, snapshot_analysis)
        bottlenecks = self._detect_bottlenecks(
            metrics, result, failure_stage, failure_reason
        )
        recommendations = self._recommendations_for(bottlenecks, failure_reason)

        record = FailureTelemetryRecord(
            run_id=run_id,
            artifact_path=str(artifact_path),
            timestamp=time.time(),
            n=result.n,
            modulus=result.modulus,
            failure_reason=failure_reason,
            failure_stage=failure_stage,
            metrics=metrics,
            bottlenecks=bottlenecks,
            recommendations=recommendations,
            convergence_profile=convergence,
            partition_summary=self._json_like(result.partition_summary),
            partition_aggregation=self._json_like(result.partition_aggregation),
            nodal_decoding_snapshot=self._json_like(result.nodal_decoding),
            verification_report=self._json_like(result.tnfr_verification),
            replay_metadata=self._json_like(replay_metadata),
            seed_state_path=None,
            extra_context=extra_context or {},
        )

        artifact_path.write_text(json.dumps(record.to_mapping(), indent=2))
        self._update_manifest(record)
        return record

    # ------------------------------------------------------------------
    # Internal helpers
    # ------------------------------------------------------------------

    def _collect_metrics(self, result: "SpectralAnalysisResult") -> Dict[str, Any]:
        metrics: Dict[str, Any] = {
            "laplacian_gap": float(result.laplacian_gap),
            "coherence_score": float(result.coherence_score),
            "phi_s": float(result.phi_s),
            "phase_gradient": float(result.phase_gradient),
            "phase_curvature": float(result.phase_curvature),
            "coherence_length": float(result.coherence_length),
            "arithmetic_delta_nfr": float(result.arithmetic_delta_nfr),
            "candidate_count": len(result.candidate_factors or []),
            "tnfr_certified_count": len(result.tnfr_certified_factors or []),
        }

        summary = self._json_like(result.partition_summary) or {}
        aggregation = self._json_like(result.partition_aggregation) or {}
        metrics.update(
            {
                "partition_count": summary.get("partition_count"),
                "partition_coherence_ratio": aggregation.get("coherence_ratio"),
                "partition_candidate_ratio": aggregation.get("candidate_ratio"),
                "partition_coverage_ratio": aggregation.get("coverage_ratio"),
                "boundary_fraction": aggregation.get("boundary_fraction"),
                "empty_partition_count": len(
                    aggregation.get("empty_partitions", []) or []
                ),
            }
        )
        return metrics

    def _build_convergence_profile(
        self,
        result: "SpectralAnalysisResult",
        snapshot_analysis: Dict[str, Any] | None,
    ) -> Dict[str, Any]:
        if snapshot_analysis:
            payload = dict(snapshot_analysis)
            payload.setdefault("source", "snapshot")
            return payload

        stages: List[Dict[str, Any]] = []
        stages.append(
            {
                "stage": "spectral",
                "coherence": float(result.coherence_score),
                "phi_s": float(result.phi_s),
                "phase_gradient": float(result.phase_gradient),
            }
        )
        aggregation = self._json_like(result.partition_aggregation) or {}
        stages.append(
            {
                "stage": "partitioning",
                "coherence": aggregation.get("coherence_ratio"),
                "coverage": aggregation.get("coverage_ratio"),
                "candidate_ratio": aggregation.get("candidate_ratio"),
            }
        )
        verification = self._json_like(result.tnfr_verification) or {}
        stages.append(
            {
                "stage": "verification",
                "coherence": self._average_verification_coherence(verification),
                "endorsement_rate": self._average_verification_endorsement(
                    verification
                ),
            }
        )

        coherence_values: List[float] = [
            float(stage.get("coherence", 0.0))
            for stage in stages
            if isinstance(stage.get("coherence"), (int, float))
        ]
        trend = None
        delta = None
        if len(coherence_values) >= 2:
            delta = coherence_values[-1] - coherence_values[0]
            trend = delta / max(len(coherence_values) - 1, 1)

        return {
            "source": "synthetic",
            "stages": stages,
            "trend": trend,
            "delta": delta,
        }

    def _detect_bottlenecks(
        self,
        metrics: Dict[str, Any],
        result: "SpectralAnalysisResult",
        failure_stage: str,
        failure_reason: str,
    ) -> List[BottleneckSignal]:
        signals: List[BottleneckSignal] = []

        def add(
            code: str,
            severity: str,
            metric: str,
            value: float,
            threshold: float,
            description: str,
        ) -> None:
            signals.append(
                BottleneckSignal(
                    code=code,
                    severity=severity,
                    metric=metric,
                    value=float(value),
                    threshold=float(threshold),
                    description=description,
                )
            )

        coherence = metrics.get("coherence_score")
        if isinstance(coherence, (int, float)) and not math.isnan(coherence):
            if coherence < 0.55:
                add(
                    "low_global_coherence",
                    "high",
                    "coherence_score",
                    coherence,
                    0.65,
                    "Parent state coherence collapsed below safe range",
                )
            elif coherence < 0.65:
                add(
                    "low_global_coherence",
                    "medium",
                    "coherence_score",
                    coherence,
                    0.65,
                    "Parent state coherence trending low",
                )

        gradient = metrics.get("phase_gradient")
        if (
            isinstance(gradient, (int, float))
            and not math.isnan(gradient)
            and gradient > 0.32
        ):
            severity = "high" if gradient > 0.4 else "medium"
            add(
                "phase_gradient_instability",
                severity,
                "phase_gradient",
                gradient,
                0.32,
                "Phase gradient exceeded harmonic stability band",
            )

        curvature = metrics.get("phase_curvature")
        if (
            isinstance(curvature, (int, float))
            and not math.isnan(curvature)
            and curvature > 2.9
        ):
            severity = "high" if curvature > 3.2 else "medium"
            add(
                "phase_curvature_instability",
                severity,
                "phase_curvature",
                curvature,
                2.9,
                "Phase curvature drift indicates torsion bottleneck",
            )

        coherence_length = metrics.get("coherence_length")
        if (
            isinstance(coherence_length, (int, float))
            and not math.isnan(coherence_length)
            and coherence_length < 1.0
        ):
            add(
                "coherence_length_collapse",
                "medium",
                "coherence_length",
                coherence_length,
                1.0,
                "Correlation length fell below single partition span",
            )

        delta_nfr = metrics.get("arithmetic_delta_nfr")
        if isinstance(delta_nfr, (int, float)) and abs(delta_nfr) < 1e-6:
            add(
                "delta_nfr_flat",
                "medium",
                "arithmetic_delta_nfr",
                delta_nfr,
                1e-6,
                "Arithmetic ΔNFR pressure vanished, indicating weak structural drive",
            )

        partition_coherence = metrics.get("partition_coherence_ratio")
        if isinstance(partition_coherence, (int, float)) and partition_coherence < 0.75:
            add(
                "partition_coherence_loss",
                "medium",
                "partition_coherence_ratio",
                partition_coherence,
                0.75,
                "Partitions lost coherence relative to parent state",
            )

        coverage_ratio = metrics.get("partition_coverage_ratio")
        if isinstance(coverage_ratio, (int, float)) and coverage_ratio < 0.65:
            add(
                "partition_coverage_gap",
                "medium",
                "partition_coverage_ratio",
                coverage_ratio,
                0.65,
                "Partitions did not cover enough of the graph",
            )

        candidate_ratio = metrics.get("partition_candidate_ratio")
        if isinstance(candidate_ratio, (int, float)) and candidate_ratio < 0.5:
            add(
                "candidate_signal_low",
                "medium",
                "partition_candidate_ratio",
                candidate_ratio,
                0.5,
                "Too few partitions surfaced candidate factors",
            )

        partition_count = metrics.get("partition_count") or 0
        empty_partition_count = metrics.get("empty_partition_count") or 0
        if partition_count and empty_partition_count / partition_count > 0.25:
            add(
                "empty_partition_density",
                "medium",
                "empty_partition_count",
                empty_partition_count,
                partition_count * 0.25,
                "More than 25% of partitions yielded no signal",
            )

        verification = self._json_like(result.tnfr_verification) or {}
        per_factor_raw = verification.get("per_factor")
        per_factor: Dict[str, Any] = (
            per_factor_raw if isinstance(per_factor_raw, dict) else {}
        )
        certified = verification.get("certified") or []
        if per_factor and not certified:
            endorsement_rates = [
                block.get("endorsement_ratio", 0.0)
                for block in per_factor.values()
                if isinstance(block, dict)
            ]
            if endorsement_rates and max(endorsement_rates) < 0.5:
                add(
                    "verification_filters_strict",
                    "medium",
                    "endorsement_ratio",
                    max(endorsement_rates),
                    0.5,
                    "All candidate partitions failed endorsement thresholds",
                )

        if failure_stage == "spectral" and metrics.get("candidate_count", 0) == 0:
            add(
                "no_candidate_clusters",
                "high",
                "candidate_count",
                0.0,
                1.0,
                "Spectral analysis failed to generate any candidate factors",
            )

        if failure_stage == "nodal_decoding" and not result.nodal_decoding:
            add(
                "nodal_decoder_inactive",
                "high",
                "nodal_decoding",
                0.0,
                1.0,
                "Nodal decoder did not emit partitions for verification",
            )

        if not signals:
            add(
                "unknown_failure",
                "low",
                "coherence_score",
                metrics.get("coherence_score", 0.0),
                0.0,
                failure_reason,
            )
        return signals

    def _recommendations_for(
        self,
        bottlenecks: List[BottleneckSignal],
        failure_reason: str,
    ) -> List[str]:
        mapping = {
            "low_global_coherence": "Insert IL/THOL stabilization sweep before partitioning or increase partition overlap",
            "phase_gradient_instability": "Throttle destabilizers and verify |∇φ| bounds before coupling",
            "phase_curvature_instability": "Use NAV/REMESH to redistribute curvature before verification",
            "coherence_length_collapse": "Increase modulus or reduce target partition size to regain ξ_C",
            "delta_nfr_flat": "Inject OZ/ZHIR exploration before IL to create ΔNFR pressure",
            "partition_coherence_loss": "Re-plan partitions with higher overlap or run auto_optimize() on weak blocks",
            "partition_coverage_gap": "Increase target partition size or ensure candidate assignment covers entire modulus",
            "candidate_signal_low": "Enable fallback candidate sources (spectral cascades or arithmetic hints)",
            "empty_partition_density": "Review partition telemetry; prune partitions with low Φ_s before verification",
            "verification_filters_strict": "Inspect tnfr_verification report and adjust criteria or add stabilizers",
            "no_candidate_clusters": "Check Laplacian gap assumptions; consider alternative modulus or dissonance probes",
            "nodal_decoder_inactive": "Ensure nodal decoder received operator strategy plan and dynamic factors",
        }
        recs: List[str] = []
        for signal in bottlenecks:
            suggestion = mapping.get(signal.code)
            if suggestion and suggestion not in recs:
                recs.append(suggestion)
        if not recs:
            recs.append(f"Review failure reason: {failure_reason}")
        return recs

    def _average_verification_coherence(
        self, verification: Dict[str, Any]
    ) -> float | None:
        per_factor_raw = verification.get("per_factor")
        per_factor: Dict[str, Any] = (
            per_factor_raw if isinstance(per_factor_raw, dict) else {}
        )
        samples: List[float] = []
        for block in per_factor.values():
            if not isinstance(block, dict):
                continue
            span = block.get("coherence_span")
            if isinstance(span, list) and len(span) == 2:
                samples.append(sum(float(value) for value in span) / 2.0)
        if not samples:
            return None
        return float(sum(samples) / len(samples))

    def _average_verification_endorsement(
        self, verification: Dict[str, Any]
    ) -> float | None:
        per_factor_raw = verification.get("per_factor")
        per_factor: Dict[str, Any] = (
            per_factor_raw if isinstance(per_factor_raw, dict) else {}
        )
        ratios: List[float] = []
        for block in per_factor.values():
            if not isinstance(block, dict):
                continue
            ratio = block.get("endorsement_ratio")
            if isinstance(ratio, (int, float)):
                ratios.append(float(ratio))
        if not ratios:
            return None
        return float(sum(ratios) / len(ratios))

    def _update_manifest(self, record: FailureTelemetryRecord) -> None:
        manifest: Dict[str, Any] = {"version": "1.0", "records": []}
        if self.manifest_path.exists():
            try:
                manifest = json.loads(self.manifest_path.read_text())
            except Exception:
                manifest = {"version": "1.0", "records": []}
        entries = manifest.setdefault("records", [])
        entries.append(
            {
                "run_id": record.run_id,
                "timestamp": record.timestamp,
                "n": record.n,
                "modulus": record.modulus,
                "failure_reason": record.failure_reason,
                "failure_stage": record.failure_stage,
                "bottlenecks": [signal.code for signal in record.bottlenecks],
                "artifact_path": record.artifact_path,
            }
        )
        manifest["records"] = entries[-self.manifest_limit :]
        self.manifest_path.write_text(json.dumps(manifest, indent=2))

    def _json_like(self, payload: Any) -> Dict[str, Any] | None:
        if payload is None:
            return None
        if isinstance(payload, dict):
            return json.loads(json.dumps(payload))
        return None

    def _make_run_id(self, n: int) -> str:
        suffix = uuid.uuid4().hex[:12]
        return f"failure_{n}_{suffix}"