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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/__init__.py

__init__.py

Unified validation interface consolidating grammar, graph and spectral checks.

RECOMMENDED: Use TNFRValidator for unified validation pipeline

The TNFRValidator class provides a single entry point for all TNFR validation operations, consolidating input validation, graph validation, invariant checking, operator preconditions, and runtime validation into one coherent API.

Example Usage::

text
from tnfr.validation import TNFRValidator

validator = TNFRValidator()

# Comprehensive validation in one call
result = validator.validate(
    graph=G,
    epi=0.5,
    vf=1.0,
    include_invariants=True,
)

if not result['passed']:
    print(f"Validation failed: {result['errors']}")

For detailed migration guide, see UNIFIED_VALIDATION_PIPELINE.md

Legacy API

This package also re-exports individual validation functions for backward compatibility, but these may be deprecated in future versions. New code should use TNFRValidator instead.

Source Code

python
"""Unified validation interface consolidating grammar, graph and spectral checks.

RECOMMENDED: Use TNFRValidator for unified validation pipeline
==============================================================

The TNFRValidator class provides a single entry point for all TNFR validation
operations, consolidating input validation, graph validation, invariant checking,
operator preconditions, and runtime validation into one coherent API.

Example Usage::

    from tnfr.validation import TNFRValidator

    validator = TNFRValidator()

    # Comprehensive validation in one call
    result = validator.validate(
        graph=G,
        epi=0.5,
        vf=1.0,
        include_invariants=True,
    )

    if not result['passed']:
        print(f"Validation failed: {result['errors']}")

For detailed migration guide, see UNIFIED_VALIDATION_PIPELINE.md

Legacy API
==========

This package also re-exports individual validation functions for backward
compatibility, but these may be deprecated in future versions. New code should
use TNFRValidator instead.
"""

from __future__ import annotations

from typing import Any

from ..operators import grammar as _grammar
from ..types import Glyph
from .base import SubjectT, ValidationOutcome, Validator  # noqa: F401
from .config import (  # noqa: F401
    ValidationConfig,
    configure_validation,
    validation_config,
)
from .graph import GRAPH_VALIDATORS, run_validators  # noqa: F401
from .interface_baselines import (  # noqa: F401
    BASELINE_FORMULAS,
    compute_all_baselines,
    constant_baseline,
    degree_score,
    feature_deviation,
    graph_cut_contribution,
    graph_total_variation,
    label_propagation_residual,
    local_class_entropy,
    local_disagreement,
    mean_neighbour_distance,
    random_baseline,
)
from .invariants import (  # noqa: F401
    Invariant1_EPIOnlyThroughOperators,
    Invariant2_VfInHzStr,
    Invariant3_DNFRSemantics,
    Invariant4_OperatorClosure,
    Invariant5_ExplicitPhaseChecks,
    Invariant6_NodeBirthCollapse,
    Invariant7_OperationalFractality,
    Invariant8_ControlledDeterminism,
    Invariant9_StructuralMetrics,
    Invariant10_DomainNeutrality,
    InvariantSeverity,
    InvariantViolation,
    TNFRInvariant,
)
from .multichannel_interface import (  # noqa: F401
    MultichannelConfig,
    MultichannelWindowSeries,
    SynchronyDiscrimination,
    amplitude_pressure,
    analytic_phase_amplitude,
    build_coupling_graph,
    evaluate_synchrony_discrimination,
    fft_bandpass,
    kuramoto_order_parameter,
    mean_field_order,
    multichannel_window_series,
    phase_amplitude_matrices,
    phase_locking_matrix,
    phase_offsets,
)
from .signal_confrontation import (  # noqa: F401
    NodalPredictionSkill,
    SignalConfrontation,
    confront_signal,
    emergent_wave_fraction,
    estimate_quality_factor,
    nodal_prediction_skill,
)
from .phase_gate import (  # noqa: F401
    DEFAULT_MIN_COMPLIANCE,
    DEFAULT_PHASE_GATE,
    PhaseGateCompliance,
    PhaseGateOperatorPrescription,
    PhaseGateReport,
    PhaseGateViolation,
    PhaseStressHotspot,
    analyze_phase_gate,
    compare_against_global_baselines,
    compute_edge_gate_compliance,
    detect_phase_gate_violations,
    export_phase_gate_report,
    prescribe_phase_gate_operators,
    rank_phase_stress_hotspots,
)
from .rules import coerce_glyph, get_norm, glyph_fallback, normalized_dnfr  # noqa: F401
from .runtime import (  # noqa: F401
    GraphCanonicalValidator,
    apply_canonical_clamps,
    validate_canon,
)
from .sequence_validator import SequenceSemanticValidator  # noqa: F401
from .soft_filters import (  # noqa: F401
    acceleration_norm,
    check_repeats,
    maybe_force,
    soft_grammar_filters,
)
from .structural_interface import (  # noqa: F401
    StructuralInterfaceProblem,
    StructuralInterfaceScore,
    baseline_score_maps,
    build_knn_graph,
    encode_phase_from_binary_state,
    evaluate_interface_scores,
    export_structural_interface_report,
    full_baseline_score_maps,
    interface_score_maps,
    local_state_disagreement,
    render_structural_interface_html,
    render_structural_interface_markdown,
    score_structural_interfaces,
)
from .temporal_interface import (  # noqa: F401
    EarlyWarningComparison,
    TemporalInterfaceConfig,
    WindowTetradSeries,
    build_temporal_proximity_graph,
    delay_embedding,
    evaluate_early_warning,
    hilbert_instantaneous_phase,
    kendall_tau,
    local_structural_pressure,
    rolling_lag1_autocorrelation,
    rolling_variance,
    window_tetrad_series,
)

# Unified validation system exports
from .unified_validation_system import (  # noqa: F401,F811
    TNFRSecurityError,
    TNFRUnifiedValidationSystem,
    ValidationConfig,
    ValidationError,
    ValidationResult,
    get_unified_validation_stats,
    get_unified_validation_system,
    validate_coherence,
    validate_phase_value,
    validate_string_input,
    validate_structural_frequency,
)
from .validator import TNFRValidationError, TNFRValidator  # noqa: F401
from .window import validate_window  # noqa: F401

# Legacy exports mapped to unified system where possible
# validate_dnfr_value, validate_epi_value etc are deprecated


# NOTE: Compatibility module deprecated - grammar emerges from TNFR structural dynamics
# Legacy exports kept for backward compatibility but will be removed in future versions
try:
    from .compatibility import (
        CANON_COMPAT,
        CANON_FALLBACK,
        GRADUATED_COMPATIBILITY,
        CompatibilityLevel,
        get_compatibility_level,
    )

    _COMPAT_AVAILABLE = True
except ImportError:
    # Compatibility module removed - provide stubs for backward compatibility
    _COMPAT_AVAILABLE = False
    CANON_COMPAT = {}
    CANON_FALLBACK = {}

    class CompatibilityLevel:
        EXCELLENT = "excellent"
        GOOD = "good"
        CAUTION = "caution"
        AVOID = "avoid"

    GRADUATED_COMPATIBILITY = {}

    def get_compatibility_level(prev: str, next_op: str) -> str:
        """Deprecated: Use frequency transition validation instead."""
        import warnings

        warnings.warn(
            "get_compatibility_level is deprecated. "
            "Grammar rules now emerge naturally from TNFR structural dynamics. "
            "Use validate_frequency_transition from tnfr.operators.grammar instead.",
            DeprecationWarning,
            stacklevel=2,
        )
        return "good"


_GRAMMAR_EXPORTS = tuple(getattr(_grammar, "__all__", ()))

globals().update({name: getattr(_grammar, name) for name in _GRAMMAR_EXPORTS})

_RUNTIME_EXPORTS = (
    "ValidationOutcome",
    "Validator",
    "GraphCanonicalValidator",
    "apply_canonical_clamps",
    "validate_canon",
    "GRAPH_VALIDATORS",
    "run_validators",
    "CANON_COMPAT",
    "CANON_FALLBACK",
    "validate_window",
    "coerce_glyph",
    "get_norm",
    "glyph_fallback",
    "normalized_dnfr",
    "acceleration_norm",
    "check_repeats",
    "maybe_force",
    "soft_grammar_filters",
    "NFRValidator",
    "ValidationError",
    "validate_epi_value",
    "validate_vf_value",
    "validate_theta_value",
    "validate_dnfr_value",
    "validate_node_id",
    "validate_glyph",
    "validate_tnfr_graph",
    "validate_glyph_factors",
    "validate_operator_parameters",
    "InvariantSeverity",
    "InvariantViolation",
    "TNFRInvariant",
    "Invariant1_EPIOnlyThroughOperators",
    "Invariant2_VfInHzStr",
    "Invariant3_DNFRSemantics",
    "Invariant4_OperatorClosure",
    "Invariant5_ExplicitPhaseChecks",
    "Invariant6_NodeBirthCollapse",
    "Invariant7_OperationalFractality",
    "Invariant8_ControlledDeterminism",
    "Invariant9_StructuralMetrics",
    "Invariant10_DomainNeutrality",
    "TNFRValidator",
    "TNFRValidationError",
    "SequenceSemanticValidator",
    "ValidationConfig",
    "validation_config",
    "configure_validation",
    "DEFAULT_MIN_COMPLIANCE",
    "DEFAULT_PHASE_GATE",
    "PhaseGateCompliance",
    "PhaseGateOperatorPrescription",
    "PhaseGateReport",
    "PhaseGateViolation",
    "PhaseStressHotspot",
    "analyze_phase_gate",
    "compare_against_global_baselines",
    "compute_edge_gate_compliance",
    "detect_phase_gate_violations",
    "export_phase_gate_report",
    "prescribe_phase_gate_operators",
    "rank_phase_stress_hotspots",
    "StructuralInterfaceProblem",
    "StructuralInterfaceScore",
    "build_knn_graph",
    "encode_phase_from_binary_state",
    "local_state_disagreement",
    "score_structural_interfaces",
    "interface_score_maps",
    "baseline_score_maps",
    "full_baseline_score_maps",
    "evaluate_interface_scores",
    "render_structural_interface_markdown",
    "render_structural_interface_html",
    "export_structural_interface_report",
    "BASELINE_FORMULAS",
    "compute_all_baselines",
    "constant_baseline",
    "degree_score",
    "feature_deviation",
    "graph_cut_contribution",
    "graph_total_variation",
    "label_propagation_residual",
    "local_class_entropy",
    "local_disagreement",
    "mean_neighbour_distance",
    "random_baseline",
    "TemporalInterfaceConfig",
    "WindowTetradSeries",
    "EarlyWarningComparison",
    "hilbert_instantaneous_phase",
    "delay_embedding",
    "local_structural_pressure",
    "build_temporal_proximity_graph",
    "window_tetrad_series",
    "rolling_variance",
    "rolling_lag1_autocorrelation",
    "kendall_tau",
    "evaluate_early_warning",
    "MultichannelConfig",
    "MultichannelWindowSeries",
    "SynchronyDiscrimination",
    "fft_bandpass",
    "analytic_phase_amplitude",
    "phase_amplitude_matrices",
    "mean_field_order",
    "kuramoto_order_parameter",
    "phase_locking_matrix",
    "phase_offsets",
    "amplitude_pressure",
    "build_coupling_graph",
    "multichannel_window_series",
    "evaluate_synchrony_discrimination",
    "SignalConfrontation",
    "confront_signal",
    "estimate_quality_factor",
    "emergent_wave_fraction",
    "NodalPredictionSkill",
    "nodal_prediction_skill",
)

__all__ = _GRAMMAR_EXPORTS + _RUNTIME_EXPORTS

_ENFORCE_CANONICAL_GRAMMAR = _grammar.enforce_canonical_grammar


def enforce_canonical_grammar(
    G: Any,
    n: Any,
    cand: Any,
    ctx: Any | None = None,
) -> Any:
    """Proxy to the canonical grammar enforcement helper preserving Glyph outputs."""

    result = _ENFORCE_CANONICAL_GRAMMAR(G, n, cand, ctx)
    if isinstance(cand, Glyph) and not isinstance(result, Glyph):
        translated = _grammar.function_name_to_glyph(result)
        if translated is None and isinstance(result, str):
            try:
                translated = Glyph(result)
            except (TypeError, ValueError):
                translated = None
        if translated is not None:
            return translated
    return result


def __getattr__(name: str) -> Any:
    if name == "NFRValidator":
        from .spectral import NFRValidator as _NFRValidator

        return _NFRValidator
    raise AttributeError(name)