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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: tests/operators/test_grammar_dynamics.py

test_grammar_dynamics.py

Tests for grammar-aware dynamics (proactive U1-U6 enforcement).

Validates that the incremental grammar checking in grammar_dynamics.py correctly detects violations, suggests alternatives, and integrates with the existing selectors and application layer.

Source Code

python
"""Tests for grammar-aware dynamics (proactive U1-U6 enforcement).

Validates that the incremental grammar checking in ``grammar_dynamics.py``
correctly detects violations, suggests alternatives, and integrates with the
existing selectors and application layer.
"""

from __future__ import annotations

import math

import networkx as nx
import pytest

from tnfr.operators.grammar_dynamics import (
    _CLOSURE_CODES,
    _COUPLING_CODES,
    _DESTABILIZER_CODES,
    _FALLBACK_CODE,
    _GENERATOR_CODES,
    _HANDLER_CODES,
    _STABILIZER_CODES,
    CandidateResult,
    GrammarViolation,
    _to_code,
    enforce_grammar_on_glyph,
    filter_candidates,
    suggest_alternative,
    validate_candidate,
)
from tnfr.types import Glyph

# ── test helpers ──────────────────────────────────────────────────────────


def _make_graph(
    num_nodes: int = 5,
    history: list[str] | None = None,
    epi: float = 1.0,
) -> tuple[nx.Graph, int]:
    """Build a small TNFR graph with configurable glyph history on node 0."""
    G = nx.cycle_graph(num_nodes)
    for n in G.nodes():
        G.nodes[n]["EPI"] = epi
        G.nodes[n]["nu_f"] = 1.0
        G.nodes[n]["DNFR"] = 0.05
        G.nodes[n]["theta"] = float(n) * 0.3
        G.nodes[n]["delta_nfr"] = 0.05
        G.nodes[n]["phase"] = float(n) * 0.3
    if history is not None:
        from collections import deque

        G.nodes[0]["glyph_history"] = deque(history, maxlen=20)
    return G, 0


# ═══════════════════════════════════════════════════════════════════════════
#  Code normalization
# ═══════════════════════════════════════════════════════════════════════════


class TestToCode:
    """Verify _to_code normalizes glyphs to uppercase codes."""

    def test_glyph_enum(self) -> None:
        assert _to_code(Glyph.IL) == "IL"
        assert _to_code(Glyph.OZ) == "OZ"

    def test_string_code(self) -> None:
        assert _to_code("IL") == "IL"
        assert _to_code("oz") == "OZ"

    def test_dotted_format(self) -> None:
        assert _to_code("Glyph.AL") == "AL"

    def test_canonical_name(self) -> None:
        assert _to_code("coherence") == "IL"
        assert _to_code("dissonance") == "OZ"
        assert _to_code("emission") == "AL"


# ═══════════════════════════════════════════════════════════════════════════
#  Set membership sanity
# ═══════════════════════════════════════════════════════════════════════════


class TestCodeSets:
    """Verify code-level sets match the canonical grammar_types definitions."""

    def test_destabilizers_include_oz_zhir(self) -> None:
        assert "OZ" in _DESTABILIZER_CODES
        assert "ZHIR" in _DESTABILIZER_CODES

    def test_stabilizers_include_il_thol(self) -> None:
        assert "IL" in _STABILIZER_CODES
        assert "THOL" in _STABILIZER_CODES

    def test_coupling_includes_um_ra(self) -> None:
        assert "UM" in _COUPLING_CODES
        assert "RA" in _COUPLING_CODES

    def test_generators(self) -> None:
        assert "AL" in _GENERATOR_CODES
        assert "NAV" in _GENERATOR_CODES
        assert "REMESH" in _GENERATOR_CODES

    def test_handlers(self) -> None:
        assert "IL" in _HANDLER_CODES
        assert "THOL" in _HANDLER_CODES


# ═══════════════════════════════════════════════════════════════════════════
#  U1a: Structural Initiation
# ═══════════════════════════════════════════════════════════════════════════


class TestU1a:
    """U1a: EPI=0 + empty history ⟹ must start with generator."""

    def test_generator_allowed_at_epi_zero(self) -> None:
        G, node = _make_graph(epi=0.0)
        cr = validate_candidate(G, node, "AL")
        assert cr.allowed

    def test_non_generator_rejected_at_epi_zero(self) -> None:
        G, node = _make_graph(epi=0.0)
        cr = validate_candidate(G, node, "IL")
        assert not cr.allowed
        assert any(v.rule == "U1a" for v in cr.violations)

    def test_any_glyph_ok_with_nonzero_epi(self) -> None:
        G, node = _make_graph(epi=1.0)
        cr = validate_candidate(G, node, "IL")
        assert cr.allowed

    def test_any_glyph_ok_with_existing_history(self) -> None:
        G, node = _make_graph(epi=0.0, history=["AL"])
        cr = validate_candidate(G, node, "IL")
        assert cr.allowed  # history already started


# ═══════════════════════════════════════════════════════════════════════════
#  U2: Convergence & Boundedness
# ═══════════════════════════════════════════════════════════════════════════


class TestU2:
    """U2: Destabilizer debt must not exceed threshold."""

    def test_single_destabilizer_ok(self) -> None:
        G, node = _make_graph(history=["IL", "RA"])
        cr = validate_candidate(G, node, "OZ")
        assert cr.allowed

    def test_debt_exceeds_threshold(self) -> None:
        # 3 destabilizers, 0 stabilizers → debt=3 > 2
        G, node = _make_graph(history=["OZ", "ZHIR"])
        cr = validate_candidate(G, node, "VAL")
        assert not cr.allowed
        assert any(v.rule == "U2" for v in cr.violations)

    def test_stabilizer_compensates_debt(self) -> None:
        G, node = _make_graph(history=["OZ", "IL", "ZHIR"])
        cr = validate_candidate(G, node, "OZ")
        assert cr.allowed  # debt = 2 destabilizers - 1 stabilizer + 1 new = 2 ≤ 2

    def test_alternative_suggested_on_debt(self) -> None:
        G, node = _make_graph(history=["OZ", "ZHIR"])
        cr = validate_candidate(G, node, "VAL")
        assert cr.suggested_alternative is not None
        # The alternative should be grammar-valid
        alt_cr = validate_candidate(G, node, cr.suggested_alternative)
        assert alt_cr.allowed


# ═══════════════════════════════════════════════════════════════════════════
#  U3: Resonant Coupling
# ═══════════════════════════════════════════════════════════════════════════


class TestU3:
    """U3: Coupling/resonance requires phase-compatible neighbours."""

    def test_coupling_with_compatible_phases(self) -> None:
        G, node = _make_graph()
        # All phases are close (n * 0.3 for n=0..4)
        cr = validate_candidate(G, node, "UM")
        assert cr.allowed

    def test_coupling_with_incompatible_phases(self) -> None:
        G, node = _make_graph()
        # Set all neighbours to antiphase
        for nb in G.neighbors(node):
            G.nodes[nb]["theta"] = math.pi
            G.nodes[nb]["phase"] = math.pi
        G.nodes[node]["theta"] = 0.0
        G.nodes[node]["phase"] = 0.0
        # Use very strict delta_phi_max
        G.graph["DELTA_PHI_MAX"] = 0.01
        cr = validate_candidate(G, node, "UM")
        # Should get a U3 warning (severity=warning, so still allowed)
        assert any(v.rule == "U3" for v in cr.violations)
        # U3 is a warning, not an error — allowed is True
        assert cr.allowed

    def test_non_coupling_ignores_u3(self) -> None:
        G, node = _make_graph()
        cr = validate_candidate(G, node, "OZ")
        assert not any(v.rule == "U3" for v in cr.violations)


# ═══════════════════════════════════════════════════════════════════════════
#  U4a: Bifurcation triggers need handlers
# ═══════════════════════════════════════════════════════════════════════════


class TestU4a:
    """U4a: OZ/ZHIR require a handler (IL/THOL) in context."""

    def test_trigger_with_handler(self) -> None:
        G, node = _make_graph(history=["IL", "RA"])
        cr = validate_candidate(G, node, "OZ")
        assert cr.allowed

    def test_trigger_without_handler(self) -> None:
        G, node = _make_graph(history=["RA", "NAV"])
        cr = validate_candidate(G, node, "OZ")
        assert not cr.allowed
        assert any(v.rule == "U4a" for v in cr.violations)


# ═══════════════════════════════════════════════════════════════════════════
#  U4b: Transformer context
# ═══════════════════════════════════════════════════════════════════════════


class TestU4b:
    """U4b: ZHIR/THOL need recent destabilizer; ZHIR also needs prior IL."""

    def test_zhir_with_full_context(self) -> None:
        # IL → ... → OZ → ZHIR — has IL and recent OZ
        G, node = _make_graph(history=["IL", "RA", "OZ"])
        cr = validate_candidate(G, node, "ZHIR")
        assert cr.allowed

    def test_zhir_without_destabilizer(self) -> None:
        G, node = _make_graph(history=["IL", "RA", "EN"])
        cr = validate_candidate(G, node, "ZHIR")
        assert not cr.allowed
        assert any(v.rule == "U4b" for v in cr.violations)

    def test_zhir_without_prior_il(self) -> None:
        G, node = _make_graph(history=["RA", "NAV", "OZ"])
        cr = validate_candidate(G, node, "ZHIR")
        assert not cr.allowed
        assert any(v.rule == "U4b" and "IL" in v.message for v in cr.violations)

    def test_thol_with_recent_destabilizer(self) -> None:
        G, node = _make_graph(history=["IL", "OZ"])
        cr = validate_candidate(G, node, "THOL")
        assert cr.allowed

    def test_thol_without_recent_destabilizer(self) -> None:
        G, node = _make_graph(history=["IL", "EN", "RA", "SHA"])
        cr = validate_candidate(G, node, "THOL")
        assert not cr.allowed
        assert any(v.rule == "U4b" for v in cr.violations)


# ═══════════════════════════════════════════════════════════════════════════
#  Combined: Multiple rules
# ═══════════════════════════════════════════════════════════════════════════


class TestMultipleViolations:
    """If candidate triggers more than one rule, all are reported."""

    def test_u2_and_u4a_combined(self) -> None:
        # History: 2 destabilizers, no handler, no stabilizer
        G, node = _make_graph(history=["OZ", "ZHIR"])
        # Another destabilizer: debt=3 (U2) + no handler (not if OZ counts)
        # Actually OZ is a trigger too, so U4a should flag
        cr = validate_candidate(G, node, "VAL")
        # VAL is not a trigger so U4a may not trigger for VAL
        assert any(v.rule == "U2" for v in cr.violations)


# ═══════════════════════════════════════════════════════════════════════════
#  filter_candidates
# ═══════════════════════════════════════════════════════════════════════════


class TestFilterCandidates:
    """filter_candidates returns only valid options."""

    def test_basic_filtering(self) -> None:
        G, node = _make_graph(history=["IL", "RA"])
        valid = filter_candidates(G, node, ["IL", "OZ", "RA", "SHA"])
        assert "IL" in valid
        assert "RA" in valid
        assert "SHA" in valid

    def test_empty_input(self) -> None:
        G, node = _make_graph()
        assert filter_candidates(G, node, []) == []

    def test_all_rejected(self) -> None:
        # EPI=0, empty history → only generators pass
        G, node = _make_graph(epi=0.0)
        valid = filter_candidates(G, node, ["IL", "OZ", "RA"])
        assert valid == []


# ═══════════════════════════════════════════════════════════════════════════
#  suggest_alternative
# ═══════════════════════════════════════════════════════════════════════════


class TestSuggestAlternative:
    """suggest_alternative finds a grammar-safe fallback."""

    def test_returns_valid_alternative(self) -> None:
        G, node = _make_graph(history=["OZ", "ZHIR"])
        alt = suggest_alternative(G, node, "VAL")
        assert alt is not None
        # Verify it's actually valid
        cr = validate_candidate(G, node, alt)
        assert cr.allowed

    def test_fallback_is_il(self) -> None:
        # IL should always be in the priority list
        G, node = _make_graph()
        alt = suggest_alternative(G, node, "OZ")
        assert alt in ("IL", "THOL", "EN", "SHA", "RA", "NAV", "AL")


# ═══════════════════════════════════════════════════════════════════════════
#  enforce_grammar_on_glyph
# ═══════════════════════════════════════════════════════════════════════════


class TestEnforceGrammarOnGlyph:
    """enforce_grammar_on_glyph is the main entry point for dynamics wiring."""

    def test_valid_candidate_passes_through(self) -> None:
        G, node = _make_graph(history=["IL"])
        result = enforce_grammar_on_glyph(G, node, "RA")
        assert result == "RA"

    def test_invalid_candidate_replaced(self) -> None:
        # EPI=0, no history → non-generator rejected
        G, node = _make_graph(epi=0.0)
        result = enforce_grammar_on_glyph(G, node, "IL")
        # Should be replaced with a generator
        assert result in _GENERATOR_CODES

    def test_accepts_glyph_enum(self) -> None:
        G, node = _make_graph(history=["IL"])
        result = enforce_grammar_on_glyph(G, node, Glyph.RA)
        assert result == "RA"


# ═══════════════════════════════════════════════════════════════════════════
#  Integration: enforce_canonical_grammar
# ═══════════════════════════════════════════════════════════════════════════


class TestEnforceCanonicalGrammarIntegration:
    """enforce_canonical_grammar now delegates to grammar_dynamics."""

    def test_valid_candidate_untouched(self) -> None:
        from tnfr.operators.grammar_application import enforce_canonical_grammar

        G, node = _make_graph(history=["IL"])
        result = enforce_canonical_grammar(G, node, "RA")
        assert result == "RA"

    def test_invalid_candidate_replaced(self) -> None:
        from tnfr.operators.grammar_application import enforce_canonical_grammar

        G, node = _make_graph(epi=0.0)
        result = enforce_canonical_grammar(G, node, "IL")
        assert result in _GENERATOR_CODES


# ═══════════════════════════════════════════════════════════════════════════
#  Integration: selectors use grammar-aware prefilter
# ═══════════════════════════════════════════════════════════════════════════


class TestSelectorsIntegration:
    """_soft_grammar_prefilter applies soft heuristic filters only."""

    def test_prefilter_available(self) -> None:
        from tnfr.dynamics.selectors import _soft_grammar_prefilter

        G, node = _make_graph(history=["IL", "RA"])
        # Should not raise
        result = _soft_grammar_prefilter(G, node, "OZ")
        assert isinstance(result, str)

    def test_prefilter_does_not_duplicate_grammar(self) -> None:
        """Prefilter should NOT run enforce_grammar_on_glyph (DRY)."""
        from tnfr.dynamics.selectors import _soft_grammar_prefilter

        # EPI=0, no history → grammar would replace a non-generator.
        # But the prefilter is now soft-only: it should pass through
        # the candidate (grammar enforcement happens at the apply stage).
        G, node = _make_graph(epi=0.0)
        result = _soft_grammar_prefilter(G, node, "IL")
        # soft_grammar_filters may or may not modify, but enforce_grammar
        # is NOT applied here — the returned code should not necessarily
        # be forced to a generator.
        assert isinstance(result, str)


# ═══════════════════════════════════════════════════════════════════════════
#  Integration: apply_glyph_with_grammar pre-validates (GAP #3)
# ═══════════════════════════════════════════════════════════════════════════


class TestApplyGlyphWithGrammarPrevalidation:
    """apply_glyph_with_grammar enforces grammar BEFORE applying."""

    def test_valid_glyph_applied(self) -> None:
        from tnfr.operators.grammar_application import apply_glyph_with_grammar

        G, node = _make_graph(history=["IL"], epi=1.0)
        # RA on a node with history and EPI>0 → valid, should not raise
        apply_glyph_with_grammar(G, [node], "RA")

    def test_grammar_enforcement_runs(self) -> None:
        """Glyph should be validated (and potentially replaced) before apply."""
        from tnfr.operators.grammar_application import enforce_canonical_grammar

        # A non-generator at EPI=0 with no history → should be replaced
        G, node = _make_graph(epi=0.0)
        result = enforce_canonical_grammar(G, node, "IL")
        assert result in _GENERATOR_CODES


# ═══════════════════════════════════════════════════════════════════════════
#  validate_sequence_incremental (GAP #4)
# ═══════════════════════════════════════════════════════════════════════════


class TestValidateSequenceIncremental:
    """Per-step incremental validation against a node's live history."""

    def test_valid_sequence(self) -> None:
        from tnfr.operators.grammar_dynamics import validate_sequence_incremental

        G, node = _make_graph(history=["IL"], epi=1.0)
        results = validate_sequence_incremental(G, node, ["RA", "IL", "OZ", "IL"])
        assert all(r.allowed for r in results)

    def test_detects_per_step_violation(self) -> None:
        from tnfr.operators.grammar_dynamics import validate_sequence_incremental

        # Start from EPI=0, no history → first step must be generator
        G, node = _make_graph(epi=0.0)
        results = validate_sequence_incremental(G, node, ["IL", "OZ"])
        # First step should be rejected (not a generator)
        assert not results[0].allowed
        assert results[0].violations

    def test_shadow_history_accumulates(self) -> None:
        from tnfr.operators.grammar_dynamics import validate_sequence_incremental

        G, node = _make_graph(epi=1.0)
        # OZ, OZ, OZ → destabilizer debt should trigger U2 by step 3
        results = validate_sequence_incremental(G, node, ["OZ", "OZ", "OZ"])
        # At least the third destabilizer in a row should be flagged
        flagged = [r for r in results if not r.allowed]
        assert len(flagged) >= 1

    def test_preserves_original_history(self) -> None:
        from tnfr.operators.grammar_dynamics import validate_sequence_incremental

        G, node = _make_graph(history=["IL", "RA"], epi=1.0)
        original = list(G.nodes[node]["glyph_history"])
        validate_sequence_incremental(G, node, ["OZ", "IL"])
        after = list(G.nodes[node]["glyph_history"])
        assert original == after

    def test_empty_sequence(self) -> None:
        from tnfr.operators.grammar_dynamics import validate_sequence_incremental

        G, node = _make_graph(epi=1.0)
        results = validate_sequence_incremental(G, node, [])
        assert results == []

    def test_available_via_grammar_reexport(self) -> None:
        from tnfr.operators.grammar import validate_sequence_incremental

        assert callable(validate_sequence_incremental)


# ═══════════════════════════════════════════════════════════════════════════
#  Edge cases
# ═══════════════════════════════════════════════════════════════════════════


class TestEdgeCases:
    """Boundary conditions and edge cases."""

    def test_empty_history(self) -> None:
        G, node = _make_graph(epi=1.0)
        # No history, EPI > 0 → most things should be ok
        cr = validate_candidate(G, node, "IL")
        assert cr.allowed

    def test_isolated_node(self) -> None:
        G = nx.Graph()
        G.add_node(
            0, EPI=1.0, nu_f=1.0, DNFR=0.05, theta=0.0, delta_nfr=0.05, phase=0.0
        )
        # UM on isolated node → U3 warning (no neighbours)
        cr = validate_candidate(G, 0, "UM")
        assert any(v.rule == "U3" for v in cr.violations)

    def test_candidate_result_dataclass(self) -> None:
        cr = CandidateResult(candidate="IL", allowed=True)
        assert cr.violations == []
        assert cr.suggested_alternative is None

    def test_grammar_violation_dataclass(self) -> None:
        v = GrammarViolation(rule="U2", message="test", severity="error")
        assert v.rule == "U2"
        assert v.severity == "error"