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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: src/tnfr/dynamics/structural_cache.py

structural_cache.py

TNFR Structural Coherence Cache System

Implements a specialized caching layer for structural computations that emerge from the nodal equation's mathematical properties:

∂EPI/∂t = νf · ΔNFR(t)

Key optimizations:

  1. Structural Field Memoization: Cache Φ_s, |∇φ|, K_φ, ξ_C computations
  2. Phase Gradient Interpolation: Spatial interpolation of phase fields
  3. Coherence Metric Batching: Batch computation of coherence across time windows
  4. Resonance Pattern Recognition: Cache and reuse resonant frequency patterns

Status: CANONICAL STRUCTURAL CACHE

Source Code

python
"""
TNFR Structural Coherence Cache System

Implements a specialized caching layer for structural computations
that emerge from the nodal equation's mathematical properties:

∂EPI/∂t = νf · ΔNFR(t)

Key optimizations:
1. Structural Field Memoization: Cache Φ_s, |∇φ|, K_φ, ξ_C computations
2. Phase Gradient Interpolation: Spatial interpolation of phase fields
3. Coherence Metric Batching: Batch computation of coherence across time windows
4. Resonance Pattern Recognition: Cache and reuse resonant frequency patterns

Status: CANONICAL STRUCTURAL CACHE
"""

import hashlib
from dataclasses import dataclass, field
from functools import wraps
from typing import Any

from ..alias import get_attr
from ..constants.aliases import ALIAS_EPI, ALIAS_THETA, ALIAS_VF
from ..constants.operational import (
    STRUCT_CACHE_EVICTION_CANONICAL,
    STRUCT_CACHE_INTERPOLATE_CANONICAL,
)
from ..mathematics.unified_numerical import np

try:
    import networkx as nx

    HAS_NETWORKX = True
except ImportError:
    HAS_NETWORKX = False
    nx = None

# Import TNFR Cache Infrastructure
try:
    from ..utils.cache import get_global_cache

    _CACHE_AVAILABLE = True
except ImportError:
    _CACHE_AVAILABLE = False

# Import Physics Fields
try:
    from ..physics.fields import (
        compute_phase_curvature,
        compute_phase_gradient,
        compute_structural_potential,
        estimate_coherence_length,
    )

    HAS_PHYSICS = True
except ImportError:
    HAS_PHYSICS = False


@dataclass
class StructuralCacheEntry:
    """Cache entry for structural field computations."""

    phi_s: dict[Any, float] = field(default_factory=dict)
    grad_phi: dict[Any, float] = field(default_factory=dict)
    k_phi: dict[Any, float] = field(default_factory=dict)
    xi_c: float = 0.0
    coherence: float = 0.0
    timestamp: float = 0.0
    topology_hash: str = ""
    spectral_basis_signature: str = ""
    eigenvalues: np.ndarray | None = None
    eigenvectors: np.ndarray | None = None
    coordination_nodes: list[Any] = field(default_factory=list)


@dataclass
class ResonancePattern:
    """Cached resonance pattern for frequency optimization."""

    frequencies: np.ndarray
    amplitudes: np.ndarray
    phases: np.ndarray
    pattern_hash: str
    usage_count: int = 0


class StructuralCoherenceCache:
    """
    Specialized cache for TNFR structural computations.

    Leverages the mathematical structure of structural fields to
    provide intelligent caching with dependency tracking.
    """

    def __init__(self, max_entries: int = 500, enable_interpolation: bool = True):
        self.max_entries = max_entries
        self.enable_interpolation = enable_interpolation
        self._structural_cache: dict[str, StructuralCacheEntry] = {}
        self._resonance_cache: dict[str, ResonancePattern] = {}

        # Performance counters
        self.hits = 0
        self.misses = 0
        self.interpolations = 0

        # Global cache integration
        if _CACHE_AVAILABLE:
            self._global_cache = get_global_cache()
        else:
            self._global_cache = None
        self._fft_cache = None
        self._fft_cache_checked = False

    def get_topology_hash(self, G: Any) -> str:
        """Generate topology hash for cache keying."""
        if not HAS_NETWORKX or G is None:
            return "empty"

        # Create deterministic topology fingerprint
        nodes = sorted(G.nodes())
        edges = sorted(G.edges())

        # Include node properties in hash
        node_props = []
        for node in nodes:
            props = G.nodes[node]
            epi_v = get_attr(props, ALIAS_EPI, 0.0)
            vf_v = get_attr(props, ALIAS_VF, 1.0)
            ph_v = get_attr(props, ALIAS_THETA, 0.0)
            prop_str = f"{epi_v:.3f}_{vf_v:.3f}_{ph_v:.3f}"
            node_props.append(prop_str)

        combined = f"n{len(nodes)}_e{len(edges)}_props{'_'.join(node_props)}"
        return hashlib.md5(combined.encode(), usedforsecurity=False).hexdigest()[:16]

    def get_structural_fields(
        self,
        G: Any,
        force_recompute: bool = False,
        interpolate_threshold: float = STRUCT_CACHE_INTERPOLATE_CANONICAL,  # = 0.1 (operational)
        spectral_basis: Any | None = None,
    ) -> StructuralCacheEntry:
        """
        Get structural fields with intelligent caching and interpolation.

        Returns cached results if topology is unchanged, or interpolates
        if changes are small (< interpolate_threshold).
        """
        if not HAS_NETWORKX or not HAS_PHYSICS or G is None:
            return StructuralCacheEntry()

        topology_hash = self.get_topology_hash(G)
        spectral_basis = spectral_basis or self._maybe_fetch_spectral_basis(G)

        # Check direct cache hit
        if not force_recompute and topology_hash in self._structural_cache:
            self.hits += 1
            entry = self._structural_cache[topology_hash]
            self._attach_spectral_basis(entry, spectral_basis)
            return entry

        # Check for interpolation opportunities
        if self.enable_interpolation and not force_recompute:
            interpolated = self._try_interpolate_fields(
                G, topology_hash, interpolate_threshold
            )
            if interpolated is not None:
                self.interpolations += 1
                self._attach_spectral_basis(interpolated, spectral_basis)
                return interpolated

        # Compute from scratch
        self.misses += 1
        entry = self._compute_structural_fields(G, topology_hash, spectral_basis)

        # Cache with LRU eviction
        self._cache_with_eviction(topology_hash, entry)

        return entry

    def _compute_structural_fields(
        self, G: Any, topology_hash: str, spectral_basis: Any | None = None
    ) -> StructuralCacheEntry:
        """Compute all structural fields for the graph."""
        if not HAS_PHYSICS:
            return StructuralCacheEntry(topology_hash=topology_hash)

        try:
            # Compute canonical structural fields
            phi_s = compute_structural_potential(G, alpha=2.0)
            grad_phi = compute_phase_gradient(G)
            k_phi = compute_phase_curvature(G)
            xi_c = estimate_coherence_length(G)

            # Compute global coherence
            coherence = self._compute_global_coherence(G)

            entry = StructuralCacheEntry(
                phi_s=phi_s,
                grad_phi=grad_phi,
                k_phi=k_phi,
                xi_c=xi_c,
                coherence=coherence,
                timestamp=0.0,  # Could integrate with time if available
                topology_hash=topology_hash,
            )
            self._attach_spectral_basis(entry, spectral_basis)
            return entry

        except Exception:
            # Fallback to empty entry if computation fails
            return StructuralCacheEntry(topology_hash=topology_hash)

    def register_coordination_nodes(
        self, G: Any, coordination_nodes: list[Any], spectral_basis: Any | None = None
    ) -> None:
        """Register nodes that coordinate cache distribution."""
        if not HAS_NETWORKX or G is None:
            return

        topology_hash = self.get_topology_hash(G)
        entry = self._structural_cache.get(topology_hash)
        if entry is None:
            entry = self.get_structural_fields(
                G, force_recompute=False, spectral_basis=spectral_basis
            )
        entry.coordination_nodes = list(coordination_nodes)
        self._attach_spectral_basis(entry, spectral_basis)

    def _maybe_fetch_spectral_basis(self, G: Any) -> Any | None:
        """Fetch spectral basis from FFT cache if available."""
        if G is None:
            return None

        fft_cache = self._get_fft_cache()
        if fft_cache is None:
            return None

        try:
            return fft_cache.get_spectral_basis(G)
        except Exception:
            return None

    def _get_fft_cache(self) -> Any | None:
        """Lazily instantiate FFT cache coordinator."""
        if self._fft_cache_checked:
            return self._fft_cache

        try:
            from .fft_cache_coordinator import get_fft_cache_coordinator

            self._fft_cache = get_fft_cache_coordinator()
        except ImportError:
            self._fft_cache = None

        self._fft_cache_checked = True
        return self._fft_cache

    def _attach_spectral_basis(
        self, entry: StructuralCacheEntry | None, spectral_basis: Any | None
    ) -> None:
        """Attach spectral metadata to cache entry."""
        if entry is None or spectral_basis is None:
            return

        entry.spectral_basis_signature = getattr(spectral_basis, "signature", "")
        entry.eigenvalues = getattr(spectral_basis, "eigenvalues", None)
        entry.eigenvectors = getattr(spectral_basis, "eigenvectors", None)

    def _compute_global_coherence(self, G: Any) -> float:
        """Compute global coherence measure."""
        if not HAS_NETWORKX or G is None:
            return 0.0

        # Simple coherence proxy: phase synchronization
        phases = []
        for node in G.nodes():
            phase = get_attr(G.nodes[node], ALIAS_THETA, 0.0)
            phases.append(phase)

        if not phases:
            return 0.0

        # Kuramoto order parameter
        phases = np.array(phases)
        z = np.mean(np.exp(1j * phases))
        return float(np.abs(z))

    def _try_interpolate_fields(
        self, G: Any, new_hash: str, threshold: float
    ) -> StructuralCacheEntry | None:
        """
        Try to interpolate structural fields from similar cached entries.

        Uses topology similarity and field continuity assumptions.
        """
        if not self._structural_cache:
            return None

        # Find most similar cached topology
        best_match = None
        best_similarity = 0.0

        current_nodes = set(G.nodes()) if HAS_NETWORKX and G else set()
        current_edges = set(G.edges()) if HAS_NETWORKX and G else set()

        for cached_hash, entry in self._structural_cache.items():
            # Simple similarity based on hash prefix matching
            common_prefix = 0
            for i in range(min(len(cached_hash), len(new_hash))):
                if cached_hash[i] == new_hash[i]:
                    common_prefix += 1
                else:
                    break

            similarity = common_prefix / max(len(cached_hash), len(new_hash))

            if similarity > best_similarity and similarity > threshold:
                best_similarity = similarity
                best_match = entry

        if best_match is None or best_similarity < threshold:
            return None

        # Create interpolated entry (simple copy for now - could implement actual interpolation)
        interpolated = StructuralCacheEntry(
            phi_s=best_match.phi_s.copy(),
            grad_phi=best_match.grad_phi.copy(),
            k_phi=best_match.k_phi.copy(),
            xi_c=best_match.xi_c,
            coherence=best_match.coherence,
            timestamp=best_match.timestamp,
            topology_hash=new_hash,
        )

        # Cache the interpolated result
        self._cache_with_eviction(new_hash, interpolated)

        return interpolated

    def cache_resonance_pattern(
        self, frequencies: np.ndarray, amplitudes: np.ndarray, phases: np.ndarray
    ) -> str:
        """
        Cache a resonance pattern for frequency-domain optimizations.

        Returns pattern hash for later retrieval.
        """
        # Generate pattern fingerprint
        freq_hash = hashlib.md5(
            frequencies.tobytes(), usedforsecurity=False
        ).hexdigest()[:8]
        amp_hash = hashlib.md5(amplitudes.tobytes(), usedforsecurity=False).hexdigest()[
            :8
        ]
        phase_hash = hashlib.md5(phases.tobytes(), usedforsecurity=False).hexdigest()[
            :8
        ]
        pattern_hash = f"{freq_hash}_{amp_hash}_{phase_hash}"

        # Store pattern
        pattern = ResonancePattern(
            frequencies=frequencies.copy(),
            amplitudes=amplitudes.copy(),
            phases=phases.copy(),
            pattern_hash=pattern_hash,
            usage_count=1,
        )

        self._resonance_cache[pattern_hash] = pattern

        # Evict old patterns if needed
        if len(self._resonance_cache) > self.max_entries // 2:
            self._evict_resonance_patterns()

        return pattern_hash

    def get_resonance_pattern(self, pattern_hash: str) -> ResonancePattern | None:
        """Retrieve cached resonance pattern."""
        pattern = self._resonance_cache.get(pattern_hash)
        if pattern is not None:
            pattern.usage_count += 1
        return pattern

    def _cache_with_eviction(self, key: str, entry: StructuralCacheEntry) -> None:
        """Cache entry with LRU eviction."""
        self._structural_cache[key] = entry

        # Simple eviction: remove oldest entries
        if len(self._structural_cache) > self.max_entries:
            # Remove 20% of oldest entries
            to_remove = len(self._structural_cache) - int(
                STRUCT_CACHE_EVICTION_CANONICAL * self.max_entries
            )  # = 0.74 (operational)
            keys_to_remove = list(self._structural_cache.keys())[:to_remove]
            for k in keys_to_remove:
                del self._structural_cache[k]

    def _evict_resonance_patterns(self) -> None:
        """Evict least-used resonance patterns."""
        if not self._resonance_cache:
            return

        # Sort by usage count and keep top 50%
        patterns = sorted(
            self._resonance_cache.items(), key=lambda x: x[1].usage_count, reverse=True
        )
        keep_count = len(patterns) // 2

        new_cache = {}
        for i in range(keep_count):
            key, pattern = patterns[i]
            new_cache[key] = pattern

        self._resonance_cache = new_cache

    def get_cache_stats(self) -> dict[str, Any]:
        """Get caching performance statistics."""
        total_requests = self.hits + self.misses
        hit_rate = self.hits / max(1, total_requests)

        return {
            "hits": self.hits,
            "misses": self.misses,
            "interpolations": self.interpolations,
            "hit_rate": hit_rate,
            "structural_entries": len(self._structural_cache),
            "resonance_patterns": len(self._resonance_cache),
            "cache_enabled": _CACHE_AVAILABLE,
        }

    def clear_cache(self) -> None:
        """Clear all caches."""
        self._structural_cache.clear()
        self._resonance_cache.clear()
        self.hits = 0
        self.misses = 0
        self.interpolations = 0


# Global cache instance
_global_structural_cache = None


def get_structural_cache() -> StructuralCoherenceCache:
    """Get or create the global structural cache."""
    global _global_structural_cache
    if _global_structural_cache is None:
        _global_structural_cache = StructuralCoherenceCache()
    return _global_structural_cache


def cached_structural_fields(G: Any, **kwargs) -> StructuralCacheEntry:
    """Convenience function for cached structural field computation."""
    cache = get_structural_cache()
    return cache.get_structural_fields(G, **kwargs)


# Decorator for automatic structural field caching
def cache_structural_computation(func):
    """Decorator to automatically cache structural computations."""

    @wraps(func)
    def wrapper(*args, **kwargs):
        # Extract graph from arguments (assume first argument)
        if args:
            G = args[0]
            cache = get_structural_cache()

            # Try to use cached fields if the function needs them
            if hasattr(func, "_uses_structural_fields"):
                cached_entry = cache.get_structural_fields(G)
                kwargs["_cached_fields"] = cached_entry

        return func(*args, **kwargs)

    return wrapper