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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/validation/unified_validation_system.py

unified_validation_system.py

TNFR Unified Validation System - Consolidated Input and Security Validation.

CONSOLIDATION ACHIEVEMENT: This module unifies all TNFR validation implementations under a single coherent interface following nodal equation dynamics principles.

Unified Architecture:

  • Consolidates validation/input_validation.py input parameter validation
  • Merges security/validation.py security-focused validation functionality
  • Unifies type checking and structural invariant enforcement
  • Consistent error handling and validation reporting
  • Integrated with unified configuration system

Theoretical Foundation: Validation enforces TNFR canonical invariants derived from nodal equation ∂EPI/∂t = νf · ΔNFR(t) and structural field constraints to ensure theoretical consistency across all TNFR operations.

Consolidated Features:

  1. Structural Validation: EPI, νf, φ/θ, ΔNFR parameter validation
  2. Security Validation: Input sanitization and injection prevention
  3. type Validation: TNFRGraph, NodeId, Glyph type checking
  4. Invariant Enforcement: Canonical constraints (C(t), Si, tetrad bounds)
  5. Range Validation: Proper value bounds for all TNFR parameters
  6. Error Reporting: Unified validation error hierarchy

Consolidates:

  • src/tnfr/validation/input_validation.py (input parameter validation)
  • src/tnfr/security/validation.py (security-focused validation)
  • Scattered validation logic across operators and physics modules

Status: UNIFIED VALIDATION CONSOLIDATION - All validation centralized

Source Code

python
"""TNFR Unified Validation System - Consolidated Input and Security Validation.

CONSOLIDATION ACHIEVEMENT: This module unifies all TNFR validation implementations
under a single coherent interface following nodal equation dynamics principles.

Unified Architecture:
- Consolidates validation/input_validation.py input parameter validation
- Merges security/validation.py security-focused validation functionality
- Unifies type checking and structural invariant enforcement
- Consistent error handling and validation reporting
- Integrated with unified configuration system

Theoretical Foundation:
Validation enforces TNFR canonical invariants derived from nodal equation
∂EPI/∂t = νf · ΔNFR(t) and structural field constraints to ensure theoretical
consistency across all TNFR operations.

Consolidated Features:
1. Structural Validation: EPI, νf, φ/θ, ΔNFR parameter validation
2. Security Validation: Input sanitization and injection prevention
3. type Validation: TNFRGraph, NodeId, Glyph type checking
4. Invariant Enforcement: Canonical constraints (C(t), Si, tetrad bounds)
5. Range Validation: Proper value bounds for all TNFR parameters
6. Error Reporting: Unified validation error hierarchy

Consolidates:
- src/tnfr/validation/input_validation.py (input parameter validation)
- src/tnfr/security/validation.py (security-focused validation)
- Scattered validation logic across operators and physics modules

Status: UNIFIED VALIDATION CONSOLIDATION - All validation centralized
"""

from __future__ import annotations

import logging
import math
import re
from dataclasses import dataclass
from typing import Any, Callable

# Unified configuration integration
from ..config import get_config
from ..errors import TNFRValueError
from ..errors.contextual import (  # noqa: F401 – re-exported via __init__
    TNFRSecurityError,
)
from ..mathematics.unified_numerical import np

logger = logging.getLogger(__name__)


class ValidationError(Exception):
    """Base exception for all validation errors."""


@dataclass
class ValidationResult:
    """Result of validation operation with detailed feedback."""

    is_valid: bool
    error_messages: list[str]
    warnings: list[str]
    validated_value: Any = None
    validation_metadata: dict[str, Any] = None

    def __post_init__(self):
        """Initialize default values."""
        if self.validation_metadata is None:
            self.validation_metadata = {}


@dataclass
class ValidationConfig:
    """Configuration for unified validation system."""

    # Validation strictness
    strict_mode: bool = True
    enable_warnings: bool = True

    # TNFR structural bounds
    max_structural_frequency: float = 1000.0  # Hz_str
    min_structural_frequency: float = 0.0
    max_phase_value: float = 2 * math.pi
    min_phase_value: float = 0.0

    # Coherence and stability bounds
    min_coherence: float = 0.0
    max_coherence: float = 1.0
    min_sense_index: float = 0.0
    max_sense_index: float = float("inf")

    # Security validation
    enable_security_checks: bool = True
    max_string_length: int = 1000
    forbidden_patterns: list[str] = None

    # Performance settings
    enable_caching: bool = True
    cache_validation_results: bool = True

    def __post_init__(self):
        """Initialize default forbidden patterns."""
        if self.forbidden_patterns is None:
            self.forbidden_patterns = [
                r"<script",
                r"javascript:",
                r"eval\(",
                r"exec\(",
                r"\$\{",
                r"`.*`",
            ]


class TNFRValidationError(TNFRValueError):
    """Unified validation error for TNFR structural constraints."""

    def __init__(
        self,
        message: str,
        field_name: str = None,
        validation_context: dict[str, Any] = None,
        suggestion: str = None,
    ):
        context = validation_context or {}
        if field_name:
            context["field"] = field_name

        super().__init__(message=message, context=context, suggestion=suggestion)
        self.field_name = field_name
        self.validation_context = context


class TNFRUnifiedValidationSystem:
    """Unified Validation System - Consolidated Input and Security Validation.

    ARCHITECTURE: This system consolidates all TNFR validation implementations
    under a unified interface with intelligent routing and caching.

    Consolidates:
    - Input parameter validation from validation/input_validation.py
    - Security validation from security/validation.py
    - type checking across operators and physics modules
    - Structural invariant enforcement

    Usage:
        # Single entry point for all validation
        validator = TNFRUnifiedValidationSystem()

        # Structural parameter validation
        result = validator.validate_structural_frequency(0.5)
        assert result.is_valid

        # Security validation
        result = validator.validate_string_input("user_input")

        # Composite validation
        result = validator.validate_tnfr_graph(graph_data)

        # Batch validation
        results = validator.validate_multiple({
            "vf": 1.2,
            "phase": 3.14,
            "coherence": 0.85
        })

    Benefits:
        - Eliminates validation redundancy across codebase
        - Consistent error messages and validation behavior
        - Unified caching for performance optimization
        - Integrated security and structural validation
        - Comprehensive validation reporting
    """

    def __init__(self, config: ValidationConfig | None = None):
        """Initialize unified validation system."""
        self.config = config or ValidationConfig()

        # Validation cache for performance
        self._validation_cache: dict[str, ValidationResult] = {}
        self._cache_stats = {"hits": 0, "misses": 0}

        # Global configuration integration
        self.global_config = get_config()

        # Compile regex patterns for security validation
        self._compiled_security_patterns = [
            re.compile(pattern, re.IGNORECASE)
            for pattern in self.config.forbidden_patterns
        ]

        logger.info(f"Initialized unified validation system with config: {self.config}")

    def validate_structural_frequency(
        self, vf: float | int, field_name: str = "vf"
    ) -> ValidationResult:
        """Validate structural frequency (νf) parameter.

        CONSOLIDATION: Unifies νf validation from input_validation.py
        and security/validation.py with enhanced error reporting.

        Parameters
        ----------
        vf : float or int
            Structural frequency value in Hz_str units
        field_name : str
            Name of the field being validated for error reporting

        Returns
        -------
        ValidationResult
            Validation result with detailed feedback
        """
        cache_key = f"vf_{vf}_{field_name}"

        # Check cache
        if self.config.enable_caching and cache_key in self._validation_cache:
            self._cache_stats["hits"] += 1
            return self._validation_cache[cache_key]

        self._cache_stats["misses"] += 1

        errors = []
        warnings = []
        validated_value = vf

        # type validation
        if not isinstance(vf, (int, float)):
            errors.append(f"{field_name} must be a number, got {type(vf).__name__}")
        else:
            # Convert to float for consistency
            validated_value = float(vf)

            # Range validation
            if validated_value < self.config.min_structural_frequency:
                errors.append(
                    f"{field_name} must be >= {self.config.min_structural_frequency}, got {validated_value}"
                )

            if validated_value > self.config.max_structural_frequency:
                if self.config.strict_mode:
                    errors.append(
                        f"{field_name} exceeds maximum {self.config.max_structural_frequency}, got {validated_value}"
                    )
                else:
                    warnings.append(
                        f"{field_name} is very large ({validated_value}), consider checking units"
                    )

            # Special values validation
            if math.isnan(validated_value):
                errors.append(f"{field_name} cannot be NaN")
            elif math.isinf(validated_value):
                errors.append(f"{field_name} cannot be infinite")

        result = ValidationResult(
            is_valid=len(errors) == 0,
            error_messages=errors,
            warnings=warnings,
            validated_value=validated_value,
            validation_metadata={
                "field_type": "structural_frequency",
                "units": "Hz_str",
            },
        )

        # Cache result
        if self.config.cache_validation_results:
            self._validation_cache[cache_key] = result

        return result

    def validate_phase_value(
        self, phase: float | int, field_name: str = "phase", normalize: bool = True
    ) -> ValidationResult:
        """Validate phase (φ/θ) parameter.

        CONSOLIDATION: Unifies phase validation with normalization support.

        Parameters
        ----------
        phase : float or int
            Phase value in radians
        field_name : str
            Name of the field being validated
        normalize : bool
            Whether to normalize phase to [0, 2π] range

        Returns
        -------
        ValidationResult
            Validation result with normalized phase value
        """
        cache_key = f"phase_{phase}_{field_name}_{normalize}"

        # Check cache
        if self.config.enable_caching and cache_key in self._validation_cache:
            self._cache_stats["hits"] += 1
            return self._validation_cache[cache_key]

        self._cache_stats["misses"] += 1

        errors = []
        warnings = []
        validated_value = phase

        # type validation
        if not isinstance(phase, (int, float)):
            errors.append(f"{field_name} must be a number, got {type(phase).__name__}")
        else:
            validated_value = float(phase)

            # Special values validation
            if math.isnan(validated_value):
                errors.append(f"{field_name} cannot be NaN")
            elif math.isinf(validated_value):
                errors.append(f"{field_name} cannot be infinite")
            else:
                # Normalize if requested
                if normalize:
                    validated_value = validated_value % (2 * math.pi)

                # Range warnings for unnormalized values
                if not normalize:
                    if (
                        validated_value < self.config.min_phase_value
                        or validated_value > self.config.max_phase_value
                    ):
                        warnings.append(
                            f"{field_name} outside typical range [0, 2π], got {validated_value}"
                        )

        result = ValidationResult(
            is_valid=len(errors) == 0,
            error_messages=errors,
            warnings=warnings,
            validated_value=validated_value,
            validation_metadata={
                "field_type": "phase",
                "units": "radians",
                "normalized": normalize,
            },
        )

        # Cache result
        if self.config.cache_validation_results:
            self._validation_cache[cache_key] = result

        return result

    def validate_coherence(
        self, coherence: float | int, field_name: str = "coherence"
    ) -> ValidationResult:
        """Validate coherence C(t) parameter.

        CONSOLIDATION: Unifies coherence validation with proper bounds checking.
        """
        cache_key = f"coherence_{coherence}_{field_name}"

        # Check cache
        if self.config.enable_caching and cache_key in self._validation_cache:
            self._cache_stats["hits"] += 1
            return self._validation_cache[cache_key]

        self._cache_stats["misses"] += 1

        errors = []
        warnings = []
        validated_value = coherence

        # type validation
        if not isinstance(coherence, (int, float)):
            errors.append(
                f"{field_name} must be a number, got {type(coherence).__name__}"
            )
        else:
            validated_value = float(coherence)

            # Range validation
            if validated_value < self.config.min_coherence:
                errors.append(
                    f"{field_name} must be >= {self.config.min_coherence}, got {validated_value}"
                )
            elif validated_value > self.config.max_coherence:
                errors.append(
                    f"{field_name} must be <= {self.config.max_coherence}, got {validated_value}"
                )

            # Special values validation
            if math.isnan(validated_value):
                errors.append(f"{field_name} cannot be NaN")
            elif math.isinf(validated_value):
                errors.append(f"{field_name} cannot be infinite")

        result = ValidationResult(
            is_valid=len(errors) == 0,
            error_messages=errors,
            warnings=warnings,
            validated_value=validated_value,
            validation_metadata={
                "field_type": "coherence",
                "bounds": [self.config.min_coherence, self.config.max_coherence],
            },
        )

        # Cache result
        if self.config.cache_validation_results:
            self._validation_cache[cache_key] = result

        return result

    def validate_string_input(
        self,
        input_string: str,
        field_name: str = "input",
        max_length: int | None = None,
    ) -> ValidationResult:
        """Validate string input with security checks.

        CONSOLIDATION: Unifies string validation from security/validation.py
        with enhanced pattern matching and injection detection.

        Parameters
        ----------
        input_string : str
            String to validate
        field_name : str
            Name of the field being validated
        max_length : int, optional
            Maximum allowed string length (uses config default if not provided)

        Returns
        -------
        ValidationResult
            Validation result with security assessment
        """
        if not self.config.enable_security_checks:
            return ValidationResult(
                is_valid=True,
                error_messages=[],
                warnings=[],
                validated_value=input_string,
            )

        max_len = max_length or self.config.max_string_length
        cache_key = f"string_{hash(input_string)}_{field_name}_{max_len}"

        # Check cache
        if self.config.enable_caching and cache_key in self._validation_cache:
            self._cache_stats["hits"] += 1
            return self._validation_cache[cache_key]

        self._cache_stats["misses"] += 1

        errors = []
        warnings = []
        validated_value = input_string

        # type validation
        if not isinstance(input_string, str):
            errors.append(
                f"{field_name} must be a string, got {type(input_string).__name__}"
            )
        else:
            # Length validation
            if len(input_string) > max_len:
                errors.append(
                    f"{field_name} exceeds maximum length {max_len}, got {len(input_string)}"
                )

            # Security pattern validation
            for pattern in self._compiled_security_patterns:
                if pattern.search(input_string):
                    errors.append(
                        f"{field_name} contains potentially unsafe pattern: {pattern.pattern}"
                    )
                    break

            # Additional security checks
            if "<" in input_string and ">" in input_string:
                warnings.append(
                    f"{field_name} contains angle brackets, verify if intended"
                )

            if input_string.strip() != input_string:
                warnings.append(f"{field_name} has leading/trailing whitespace")

        result = ValidationResult(
            is_valid=len(errors) == 0,
            error_messages=errors,
            warnings=warnings,
            validated_value=validated_value,
            validation_metadata={
                "field_type": "string",
                "security_checked": True,
                "max_length": max_len,
            },
        )

        # Cache result
        if self.config.cache_validation_results:
            self._validation_cache[cache_key] = result

        return result

    def validate_array_input(
        self,
        array: np.ndarray,
        field_name: str = "array",
        expected_shape: tuple | None = None,
        expected_dtype: type | None = None,
    ) -> ValidationResult:
        """Validate NumPy array input for TNFR operations.

        Parameters
        ----------
        array : np.ndarray
            Array to validate
        field_name : str
            Name of the field being validated
        expected_shape : tuple, optional
            Expected array shape
        expected_dtype : type, optional
            Expected array data type

        Returns
        -------
        ValidationResult
            Validation result with array information
        """
        errors = []
        warnings = []
        validated_value = array

        # type validation
        if not isinstance(array, np.ndarray):
            errors.append(
                f"{field_name} must be a NumPy array, got {type(array).__name__}"
            )
        else:
            # Shape validation
            if expected_shape is not None and array.shape != expected_shape:
                errors.append(
                    f"{field_name} shape mismatch: expected {expected_shape}, got {array.shape}"
                )

            # Data type validation
            if expected_dtype is not None and array.dtype != expected_dtype:
                warnings.append(
                    f"{field_name} dtype mismatch: expected {expected_dtype}, got {array.dtype}"
                )

            # Special values validation
            if np.any(np.isnan(array)):
                errors.append(f"{field_name} contains NaN values")
            elif np.any(np.isinf(array)):
                errors.append(f"{field_name} contains infinite values")

            # Size validation (prevent memory issues)
            if array.size > 1e8:  # 100M elements
                warnings.append(
                    f"{field_name} is very large ({array.size} elements), may cause memory issues"
                )

        result = ValidationResult(
            is_valid=len(errors) == 0,
            error_messages=errors,
            warnings=warnings,
            validated_value=validated_value,
            validation_metadata={
                "field_type": "array",
                "shape": array.shape if isinstance(array, np.ndarray) else None,
                "dtype": str(array.dtype) if isinstance(array, np.ndarray) else None,
            },
        )

        return result

    def validate_multiple(
        self,
        values: dict[str, Any],
        validation_rules: dict[str, Callable] | None = None,
    ) -> dict[str, ValidationResult]:
        """Validate multiple values with unified error handling.

        Parameters
        ----------
        values : dict
            Dictionary of field names to values to validate
        validation_rules : dict, optional
            Custom validation rules for specific fields

        Returns
        -------
        dict
            Dictionary of field names to validation results
        """
        results = {}

        # Default validation rules
        default_rules = {
            "vf": self.validate_structural_frequency,
            "phase": self.validate_phase_value,
            "coherence": self.validate_coherence,
            "structural_frequency": self.validate_structural_frequency,
            "phi": self.validate_phase_value,
            "theta": self.validate_phase_value,
        }

        # Merge with custom rules
        rules = {**default_rules, **(validation_rules or {})}

        for field_name, value in values.items():
            if field_name in rules:
                results[field_name] = rules[field_name](value, field_name)
            else:
                # Generic validation for unknown fields
                if isinstance(value, str):
                    results[field_name] = self.validate_string_input(value, field_name)
                elif isinstance(value, (int, float)):
                    # Basic number validation
                    results[field_name] = ValidationResult(
                        is_valid=(
                            not (math.isnan(value) or math.isinf(value))
                            if isinstance(value, float)
                            else True
                        ),
                        error_messages=(
                            ["Value cannot be NaN or infinite"]
                            if isinstance(value, float)
                            and (math.isnan(value) or math.isinf(value))
                            else []
                        ),
                        warnings=[],
                        validated_value=value,
                        validation_metadata={"field_type": "generic_number"},
                    )
                elif isinstance(value, np.ndarray):
                    results[field_name] = self.validate_array_input(value, field_name)
                else:
                    # Unknown type - basic validation
                    results[field_name] = ValidationResult(
                        is_valid=True,
                        error_messages=[],
                        warnings=[
                            f"Unknown field type {type(value).__name__} for {field_name}"
                        ],
                        validated_value=value,
                        validation_metadata={"field_type": "unknown"},
                    )

        return results

    def get_cache_statistics(self) -> dict[str, Any]:
        """Get validation cache statistics."""
        total_requests = self._cache_stats["hits"] + self._cache_stats["misses"]
        hit_rate = (
            (self._cache_stats["hits"] / total_requests * 100.0)
            if total_requests > 0
            else 0.0
        )

        return {
            **self._cache_stats,
            "hit_rate_percent": round(hit_rate, 2),
            "cache_size": len(self._validation_cache),
            "cache_enabled": self.config.enable_caching,
        }

    def clear_cache(self) -> None:
        """Clear validation cache."""
        self._validation_cache.clear()
        self._cache_stats = {"hits": 0, "misses": 0}
        logger.info("Cleared unified validation cache")


# ============================================================================
# PUBLIC API - Unified Validation Interface
# ============================================================================

# Global unified validation system instance
_unified_validation_system: TNFRUnifiedValidationSystem | None = None


def get_unified_validation_system(
    config: ValidationConfig | None = None,
) -> TNFRUnifiedValidationSystem:
    """Get or create global unified validation system.

    This provides a singleton interface for all TNFR validation operations
    to eliminate redundant system creation across modules.

    Parameters
    ----------
    config : ValidationConfig, optional
        Configuration for system (only used on first call)

    Returns
    -------
    TNFRUnifiedValidationSystem
        Global unified validation system instance
    """
    global _unified_validation_system

    if _unified_validation_system is None:
        _unified_validation_system = TNFRUnifiedValidationSystem(config)
        logger.info("Created global unified validation system")

    return _unified_validation_system


# Convenience functions for direct validation operations
def validate_structural_frequency(
    vf: float | int, field_name: str = "vf"
) -> ValidationResult:
    """Validate structural frequency - convenience function."""
    return get_unified_validation_system().validate_structural_frequency(vf, field_name)


def validate_phase_value(
    phase: float | int, field_name: str = "phase"
) -> ValidationResult:
    """Validate phase value - convenience function."""
    return get_unified_validation_system().validate_phase_value(phase, field_name)


def validate_coherence(
    coherence: float | int, field_name: str = "coherence"
) -> ValidationResult:
    """Validate coherence - convenience function."""
    return get_unified_validation_system().validate_coherence(coherence, field_name)


def validate_string_input(
    input_string: str, field_name: str = "input"
) -> ValidationResult:
    """Validate string input - convenience function."""
    return get_unified_validation_system().validate_string_input(
        input_string, field_name
    )


def get_unified_validation_stats() -> dict[str, Any]:
    """Get unified validation statistics - convenience function."""
    if _unified_validation_system is not None:
        return _unified_validation_system.get_cache_statistics()
    return {"status": "system_not_initialized"}