TNFR Logo
TheoryLearnSoftwareResearch

On this page

TNFR

Resonant Fractal Nature Theory — a mathematical framework for coherent patterns on graph-coupled networks.

About
  • Project history
  • Editorial policy
  • Contact
Resources
  • GitHub
  • PyPI
  • DOI · Zenodo
Legal
  • MIT License
  • Citation
© 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
.pre-commit-config.yaml.semgrep.yaml.zenodo.jsonARCHITECTURE.mdbandit.yamlCHANGELOG.mdCITATION.cffCONTRIBUTING.mdEMERGENT_CANON_AUDIT.mdEMERGENT_DERIVATION_PLAN.mdLICENSE.mdMakefileMANIFEST.inpyproject.tomlpyrightconfig.jsonPYTORCH_CUDA_INTEGRATION.mdREADME.mdSECURITY.mdTESTING.mdTNFR_Website_Content_Brief.md
FILE: tests/test_multichannel_interface.py

test_multichannel_interface.py

Offline tests for the multi-channel structural-interface pipeline.

These tests validate pipeline mechanics on synthetic, deterministic data and exercise the real-data download path only through its graceful-skip behaviour, so the suite never requires network access.

Honest note: the synthetic Kuramoto regime-switch fixture is used here only to check that the spatial tetrad and the synchronisation baselines both track the incoherent → coherent transition. It is a mechanics fixture, not evidence for the TNFR thesis.

Source Code

python
"""Offline tests for the multi-channel structural-interface pipeline.

These tests validate pipeline *mechanics* on synthetic, deterministic data and
exercise the real-data download path only through its graceful-skip behaviour,
so the suite never requires network access.

Honest note: the synthetic Kuramoto regime-switch fixture is used here only to
check that the spatial tetrad and the synchronisation baselines both track the
incoherent → coherent transition.  It is a mechanics fixture, not evidence for
the TNFR thesis.
"""

from __future__ import annotations

import importlib.util
import sys
import zipfile
from io import BytesIO
from pathlib import Path

import numpy as np
import pytest

pytest.importorskip("networkx")

from tnfr.validation.multichannel_interface import (
    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,
)


def _load_benchmark_module():
    root = Path(__file__).resolve().parents[1]
    path = root / "benchmarks" / "multichannel_interface_benchmark.py"
    spec = importlib.util.spec_from_file_location(
        "multichannel_interface_benchmark", path
    )
    assert spec is not None
    assert spec.loader is not None
    module = importlib.util.module_from_spec(spec)
    sys.modules[spec.name] = module
    spec.loader.exec_module(module)
    return module


BENCH = _load_benchmark_module()


def _two_tone_channels(
    n_channels: int = 6, n_samples: int = 2048, fs: float = 128.0
) -> np.ndarray:
    """Deterministic alpha-band channels with small per-channel phase offsets."""
    t = np.arange(n_samples) / fs
    rng = np.random.default_rng(3)
    rows = []
    for j in range(n_channels):
        offset = 0.2 * j
        alpha = np.sin(2.0 * np.pi * 10.0 * t + offset)
        noise = 0.05 * rng.standard_normal(n_samples)
        rows.append(alpha + noise)
    return np.asarray(rows, dtype=float)


# ---------------------------------------------------------------------------
# Signal -> phase/amplitude primitives
# ---------------------------------------------------------------------------
def test_fft_bandpass_passes_in_band_attenuates_out_of_band():
    fs = 128.0
    t = np.arange(2048) / fs
    in_band = np.sin(2.0 * np.pi * 10.0 * t)  # alpha
    out_band = np.sin(2.0 * np.pi * 40.0 * t)  # gamma
    mixed = in_band + out_band
    filtered = fft_bandpass(mixed, sampling_rate=fs, low=8.0, high=12.0)
    # In-band power retained, out-of-band power strongly attenuated.
    assert np.std(filtered) > 0.5 * np.std(in_band)
    residual_out = filtered - in_band
    assert np.std(residual_out) < 0.2 * np.std(out_band)


def test_analytic_phase_amplitude_tracks_pure_tone():
    fs = 128.0
    t = np.arange(2048) / fs
    signal = 2.0 * np.sin(2.0 * np.pi * 10.0 * t)
    phase, amplitude = analytic_phase_amplitude(signal, sampling_rate=fs)
    assert phase.shape == signal.shape
    assert amplitude.shape == signal.shape
    # Amplitude envelope of a pure tone is approximately its amplitude.
    interior = amplitude[200:-200]
    assert np.allclose(np.mean(interior), 2.0, atol=0.3)


def test_phase_amplitude_matrices_shapes():
    signals = _two_tone_channels()
    phase, amplitude = phase_amplitude_matrices(signals, sampling_rate=128.0)
    assert phase.shape == signals.shape
    assert amplitude.shape == signals.shape


# ---------------------------------------------------------------------------
# Synchronisation descriptors
# ---------------------------------------------------------------------------
def test_phase_locking_matrix_properties():
    signals = _two_tone_channels()
    phase, _ = phase_amplitude_matrices(signals, sampling_rate=128.0)
    plv = phase_locking_matrix(phase)
    n = signals.shape[0]
    assert plv.shape == (n, n)
    assert np.allclose(np.diag(plv), 1.0)
    assert np.allclose(plv, plv.T, atol=1e-9)
    assert np.all(plv >= 0.0) and np.all(plv <= 1.0)


def test_kuramoto_order_parameter_in_phase_vs_random():
    n_samples = 2048
    t = np.arange(n_samples) / 128.0
    # Strongly in-phase channels -> R near 1.
    in_phase = np.asarray([np.sin(2.0 * np.pi * 10.0 * t) for _ in range(8)])
    phase_in, _ = phase_amplitude_matrices(in_phase, sampling_rate=128.0)
    assert kuramoto_order_parameter(phase_in) > 0.9
    # Scattered phase offsets -> lower R.
    rng = np.random.default_rng(1)
    scattered = np.asarray(
        [np.sin(2.0 * np.pi * 10.0 * t + rng.uniform(-np.pi, np.pi)) for _ in range(8)]
    )
    phase_sc, _ = phase_amplitude_matrices(scattered, sampling_rate=128.0)
    assert kuramoto_order_parameter(phase_sc) < kuramoto_order_parameter(phase_in)


def test_mean_field_order_shapes_and_range():
    signals = _two_tone_channels()
    phase, _ = phase_amplitude_matrices(signals, sampling_rate=128.0)
    r, psi = mean_field_order(phase)
    assert r.shape == (signals.shape[1],)
    assert psi.shape == (signals.shape[1],)
    assert np.all(r >= 0.0) and np.all(r <= 1.0 + 1e-9)


def test_phase_offsets_bounded():
    signals = _two_tone_channels()
    phase, _ = phase_amplitude_matrices(signals, sampling_rate=128.0)
    theta = phase_offsets(phase)
    assert theta.shape == (signals.shape[0],)
    assert np.all(np.abs(theta) <= np.pi + 1e-9)


def test_amplitude_pressure_phase_independent():
    signals = _two_tone_channels()
    _, amplitude = phase_amplitude_matrices(signals, sampling_rate=128.0)
    pressure = amplitude_pressure(amplitude)
    assert pressure.shape == (signals.shape[0],)
    assert np.all(pressure >= 0.0)


# ---------------------------------------------------------------------------
# Coupling graph
# ---------------------------------------------------------------------------
def test_build_coupling_graph_attributes_and_degree():
    signals = _two_tone_channels(n_channels=8)
    phase, amplitude = phase_amplitude_matrices(signals, sampling_rate=128.0)
    k = 3
    graph = build_coupling_graph(phase, amplitude, k_neighbours=k)
    assert graph.number_of_nodes() == 8
    for _, attrs in graph.nodes(data=True):
        assert "phase" in attrs and "theta" in attrs
        assert "dnfr" in attrs and "delta_nfr" in attrs
    # kNN guarantees each node initiates k edges; degree may exceed k via
    # reciprocal links, but never falls below k for a connected feature set.
    for node in graph.nodes():
        assert graph.degree(node) >= 1
    for _, _, edge in graph.edges(data=True):
        assert "distance" in edge


# ---------------------------------------------------------------------------
# Synthetic Kuramoto regime switch (mechanics fixture)
# ---------------------------------------------------------------------------
def _regime_switch_signals():
    return BENCH.synthetic_kuramoto_regime_switch(
        n_oscillators=14, block=2048, coupling_low=0.05, coupling_high=2.0
    )


def test_window_series_structure_and_monotone_window_end():
    signals, _ = _regime_switch_signals()
    cfg = MultichannelConfig(window=512, step=128, k_neighbours=4)
    series = multichannel_window_series(signals, config=cfg)
    assert isinstance(series, MultichannelWindowSeries)
    n = series.window_end.size
    for arr in (
        series.grad_phi,
        series.k_phi,
        series.xi_c,
        series.phi_s,
        series.order_parameter,
        series.mean_plv,
        series.phase_dispersion,
    ):
        assert arr.shape == (n,)
    assert np.all(np.diff(series.window_end) > 0)


def test_order_parameter_higher_in_coherent_block():
    signals, labels = _regime_switch_signals()
    cfg = MultichannelConfig(window=512, step=128, k_neighbours=4)
    series = multichannel_window_series(signals, config=cfg)
    half = series.order_parameter.size // 2
    incoherent = np.nanmean(series.order_parameter[:half])
    coherent = np.nanmean(series.order_parameter[half:])
    assert coherent > incoherent
    # |∇φ| falls as the network synchronises (partial 1−R redundancy).
    assert np.nanmean(series.grad_phi[half:]) < np.nanmean(series.grad_phi[:half])


def test_window_series_rejects_short_signal():
    signals, _ = _regime_switch_signals()
    cfg = MultichannelConfig(window=signals.shape[1] + 1, step=128)
    with pytest.raises(ValueError):
        multichannel_window_series(signals, config=cfg)


def test_window_series_rejects_too_few_channels():
    signals = _two_tone_channels(n_channels=2, n_samples=2048)
    cfg = MultichannelConfig(window=512, step=128, k_neighbours=1)
    with pytest.raises(ValueError):
        multichannel_window_series(signals, config=cfg)


def test_evaluate_synchrony_discrimination_structure():
    signals, labels = _regime_switch_signals()
    cfg = MultichannelConfig(window=512, step=128, k_neighbours=4)
    result = evaluate_synchrony_discrimination(signals, labels, config=cfg)
    assert isinstance(result, SynchronyDiscrimination)
    # All AUCs are direction-agnostic discriminative scores in [0.5, 1].
    for value in result.auc.values():
        assert 0.5 <= value <= 1.0 + 1e-9
    # On a clean incoherent->coherent switch the baseline separates strongly.
    assert result.best_baseline[1] > 0.8
    # The tetrad also separates this regime (grad_phi / xi_c track synchrony).
    assert result.best_tnfr[1] > 0.8
    assert result.summary()
    assert result.interpretation


def test_config_validation():
    with pytest.raises(ValueError):
        MultichannelConfig(window=4)
    with pytest.raises(ValueError):
        MultichannelConfig(step=0)
    with pytest.raises(ValueError):
        MultichannelConfig(k_neighbours=0)
    with pytest.raises(ValueError):
        MultichannelConfig(sampling_rate=0.0)
    with pytest.raises(ValueError):
        MultichannelConfig(bandpass=(12.0, 8.0))


# ---------------------------------------------------------------------------
# Benchmark: ARFF parsing, robust clip, graceful skip
# ---------------------------------------------------------------------------
def _tiny_arff(n_rows: int = 1200) -> str:
    rng = np.random.default_rng(5)
    header = ["@RELATION eeg"]
    for i in range(14):
        header.append(f"@ATTRIBUTE ch{i} NUMERIC")
    header.append("@ATTRIBUTE eyeDetection {0,1}")
    header.append("@DATA")
    rows = []
    for r in range(n_rows):
        label = 0 if r < n_rows // 2 else 1
        vals = [f"{4000.0 + 50.0 * rng.standard_normal():.2f}" for _ in range(14)]
        rows.append(",".join(vals) + f",{label}")
    return "\n".join(header + rows)


def test_parse_arff_basic():
    text = _tiny_arff(1200)
    parsed = BENCH.parse_arff(text)
    assert parsed is not None
    signals, labels = parsed
    assert signals.shape[0] == 14
    assert signals.shape[1] == 1200
    assert labels.shape == (1200,)
    assert set(np.unique(labels)).issubset({0, 1})


def test_parse_arff_rejects_short():
    text = _tiny_arff(10)
    assert BENCH.parse_arff(text) is None


def test_robust_clip_removes_spikes():
    rng = np.random.default_rng(7)
    signals = 4000.0 + 50.0 * rng.standard_normal((14, 2000))
    signals[3, 100] = 7_000_000.0  # sensor pop
    cleaned = BENCH._robust_clip(signals)
    assert cleaned[3, 100] < 1e5
    assert np.max(np.abs(cleaned)) < 1e5


def test_extract_arff_text_from_zip():
    text = _tiny_arff(1100)
    buffer = BytesIO()
    with zipfile.ZipFile(buffer, "w") as archive:
        archive.writestr("EEG Eye State.arff", text)
    extracted = BENCH._extract_arff_text(buffer.getvalue())
    assert extracted is not None
    assert "@DATA" in extracted


def test_synthetic_kuramoto_regime_switch_shapes():
    signals, labels = BENCH.synthetic_kuramoto_regime_switch(
        n_oscillators=10, block=1024
    )
    assert signals.shape == (10, 2048)
    assert labels.shape == (2048,)
    assert labels[:1024].sum() == 0
    assert labels[1024:].sum() == 1024


def test_kuramoto_order_rises_with_coupling():
    weak = BENCH.kuramoto_simulate(20, 0.05, 3000, seed=1)
    strong = BENCH.kuramoto_simulate(20, 3.0, 3000, seed=1)
    phase_weak, _ = phase_amplitude_matrices(weak)
    phase_strong, _ = phase_amplitude_matrices(strong)
    assert kuramoto_order_parameter(phase_strong) > kuramoto_order_parameter(phase_weak)


def test_download_eeg_graceful_skip(monkeypatch, tmp_path):
    def _boom(*args, **kwargs):
        raise OSError("no network in test environment")

    monkeypatch.setattr(BENCH, "urlopen", _boom)
    result = BENCH.download_eeg_eye_state(cache_path=tmp_path / "x.raw")
    assert result is None


def test_download_eeg_writes_full_payload(monkeypatch, tmp_path):
    # Regression: a successful download must persist the *entire* payload, not
    # an empty file (the chunk loop must write each chunk, not merely count it).
    payload = b"@RELATION t\n@DATA\n" + b"x" * 4096

    class _FakeResponse:
        def __init__(self, data):
            self._buf = data

        def __enter__(self):
            return self

        def __exit__(self, *exc):
            return False

        def read(self, n=-1):
            if n is None or n < 0:
                chunk, self._buf = self._buf, b""
                return chunk
            chunk, self._buf = self._buf[:n], self._buf[n:]
            return chunk

    monkeypatch.setattr(BENCH, "urlopen", lambda *a, **k: _FakeResponse(payload))
    cache = tmp_path / "eeg.raw"
    result = BENCH.download_eeg_eye_state(cache_path=cache)
    assert result == cache
    assert cache.read_bytes() == payload


def test_run_multichannel_benchmark_synthetic_ok():
    cfg = MultichannelConfig(window=512, step=128, k_neighbours=4)
    report = BENCH.run_multichannel_benchmark(
        source="synthetic", config=cfg, synthetic_block=2048
    )
    assert report["status"] == "ok"
    assert report["n_windows"] > 0
    assert "auc" in report
    assert "interpretation" in report
    assert report["best_baseline"]["auc"] > 0.8