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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/tools/domain_templates.py

domain_templates.py

Domain-specific operator sequence templates for TNFR applications.

This module provides curated, validated operator sequences organized by application domain (therapeutic, educational, organizational, creative). Each template is designed to achieve specific objectives within its domain while maintaining structural health and coherence.

All templates follow TNFR canonical principles:

  • Operator closure (only canonical operators)
  • Phase coherence (compatible transitions)
  • Structural health (balanced forces, proper closure)
  • Operational fractality (composable patterns)

Examples

from tnfr.tools.domain_templates import DOMAIN_TEMPLATES crisis_seq = DOMAIN_TEMPLATES["therapeutic"]["crisis_intervention"] print(crisis_seq) ['emission', 'reception', 'coherence', 'resonance', 'silence']

Source Code

python
"""Domain-specific operator sequence templates for TNFR applications.

This module provides curated, validated operator sequences organized by
application domain (therapeutic, educational, organizational, creative).
Each template is designed to achieve specific objectives within its domain
while maintaining structural health and coherence.

All templates follow TNFR canonical principles:
- Operator closure (only canonical operators)
- Phase coherence (compatible transitions)
- Structural health (balanced forces, proper closure)
- Operational fractality (composable patterns)

Examples
--------
>>> from tnfr.tools.domain_templates import DOMAIN_TEMPLATES
>>> crisis_seq = DOMAIN_TEMPLATES["therapeutic"]["crisis_intervention"]
>>> print(crisis_seq)
['emission', 'reception', 'coherence', 'resonance', 'silence']
"""

from __future__ import annotations

from ..config.operator_names import (
    COHERENCE,
    CONTRACTION,
    COUPLING,
    DISSONANCE,
    EMISSION,
    EXPANSION,
    MUTATION,
    RECEPTION,
    RECURSIVITY,
    RESONANCE,
    SELF_ORGANIZATION,
    SILENCE,
    TRANSITION,
)

__all__ = [
    "DOMAIN_TEMPLATES",
    "get_template",
    "list_domains",
    "list_objectives",
]

# =============================================================================
# THERAPEUTIC DOMAIN - Healing and Personal Transformation
# =============================================================================

THERAPEUTIC_TEMPLATES = {
    "crisis_intervention": {
        "sequence": [EMISSION, RECEPTION, COHERENCE, RESONANCE, SILENCE],
        "description": "Rapid stabilization for immediate crisis response",
        "expected_health": 0.75,
        "pattern": "STABILIZE",
        "characteristics": [
            "Fast response",
            "Emergency containment",
            "Minimal transformation",
            "Quick closure",
        ],
    },
    "process_therapy": {
        "sequence": [
            EMISSION,
            RECEPTION,
            COHERENCE,
            DISSONANCE,
            SELF_ORGANIZATION,
            COHERENCE,
            TRANSITION,
            SILENCE,
        ],
        "description": "Complete transformative therapeutic cycle",
        "expected_health": 0.85,
        "pattern": "THERAPEUTIC",
        "characteristics": [
            "Deep transformation",
            "Controlled crisis exploration",
            "Autonomous reorganization",
            "Sustained integration",
        ],
    },
    "healing_cycle": {
        "sequence": [
            COHERENCE,
            RESONANCE,
            EXPANSION,
            SILENCE,
            TRANSITION,
            COHERENCE,
        ],
        "description": "Gradual healing and integration process",
        "expected_health": 0.78,
        "pattern": "REGENERATIVE",
        "characteristics": [
            "Gentle progression",
            "Capacity building",
            "Reflective pauses",
            "Sustainable growth",
        ],
    },
    "trauma_processing": {
        "sequence": [
            EMISSION,
            RECEPTION,
            COHERENCE,
            SILENCE,
            DISSONANCE,
            CONTRACTION,
            COHERENCE,
            TRANSITION,
            SILENCE,
        ],
        "description": "Safe trauma processing with containment",
        "expected_health": 0.82,
        "pattern": "THERAPEUTIC",
        "characteristics": [
            "Safety first",
            "Controlled exposure",
            "Titrated dissonance",
            "Integration focus",
        ],
    },
}

# =============================================================================
# EDUCATIONAL DOMAIN - Learning and Skill Development
# =============================================================================

EDUCATIONAL_TEMPLATES = {
    "concept_introduction": {
        "sequence": [EMISSION, RECEPTION, COHERENCE, EXPANSION, COHERENCE],
        "description": "Introduce new concepts with exploration",
        "expected_health": 0.72,
        "pattern": "BOOTSTRAP",
        "characteristics": [
            "Clear introduction",
            "Active reception",
            "Conceptual expansion",
            "Consolidation",
        ],
    },
    "skill_development": {
        "sequence": [
            RECEPTION,
            COHERENCE,
            EXPANSION,
            DISSONANCE,
            MUTATION,
            COHERENCE,
        ],
        "description": "Progressive skill building with challenge",
        "expected_health": 0.80,
        "pattern": "EDUCATIONAL",
        "characteristics": [
            "Practice focus",
            "Incremental difficulty",
            "Breakthrough moments",
            "Mastery consolidation",
        ],
    },
    "knowledge_integration": {
        "sequence": [COHERENCE, COUPLING, RESONANCE, RECURSIVITY],
        "description": "Connect and integrate multiple concepts",
        "expected_health": 0.76,
        "pattern": "RESONATE",
        "characteristics": [
            "Connection building",
            "Pattern recognition",
            "Cross-domain links",
            "Recursive understanding",
        ],
    },
    "transformative_learning": {
        "sequence": [
            RECEPTION,
            EMISSION,
            COHERENCE,
            EXPANSION,
            DISSONANCE,
            MUTATION,
            COHERENCE,
            SILENCE,
        ],
        "description": "Deep learning with paradigm shift",
        "expected_health": 0.83,
        "pattern": "EDUCATIONAL",
        "characteristics": [
            "Perspective change",
            "Challenge assumptions",
            "Cognitive restructuring",
            "Integration time",
        ],
    },
}

# =============================================================================
# ORGANIZATIONAL DOMAIN - Institutional Change and Team Dynamics
# =============================================================================

ORGANIZATIONAL_TEMPLATES = {
    "change_management": {
        "sequence": [
            TRANSITION,
            EMISSION,
            RECEPTION,
            COUPLING,
            DISSONANCE,
            SELF_ORGANIZATION,
            COHERENCE,
        ],
        "description": "Organizational transformation process",
        "expected_health": 0.81,
        "pattern": "ORGANIZATIONAL",
        "characteristics": [
            "Clear transition",
            "Stakeholder engagement",
            "Managed tension",
            "Emergent solutions",
        ],
    },
    "team_building": {
        "sequence": [EMISSION, RECEPTION, COUPLING, COHERENCE, RESONANCE],
        "description": "Build cohesive team dynamics",
        "expected_health": 0.78,
        "pattern": "RESONATE",
        "characteristics": [
            "Individual expression",
            "Active listening",
            "Connection building",
            "Shared resonance",
        ],
    },
    "crisis_response": {
        "sequence": [
            DISSONANCE,
            EMISSION,
            RECEPTION,
            COHERENCE,
            TRANSITION,
            SILENCE,
        ],
        "description": "Organizational crisis management",
        "expected_health": 0.77,
        "pattern": "STABILIZE",
        "characteristics": [
            "Acknowledge crisis",
            "Leadership clarity",
            "Rapid stabilization",
            "Strategic pause",
        ],
    },
    "innovation_cycle": {
        "sequence": [
            COHERENCE,
            EXPANSION,
            DISSONANCE,
            MUTATION,
            SELF_ORGANIZATION,
            COHERENCE,
            TRANSITION,
        ],
        "description": "Foster organizational innovation",
        "expected_health": 0.84,
        "pattern": "ORGANIZATIONAL",
        "characteristics": [
            "Stable foundation",
            "Explore possibilities",
            "Creative tension",
            "Emergent innovation",
        ],
    },
}

# =============================================================================
# CREATIVE DOMAIN - Artistic Process and Design
# =============================================================================

CREATIVE_TEMPLATES = {
    "artistic_process": {
        "sequence": [
            SILENCE,
            EMISSION,
            EXPANSION,
            DISSONANCE,
            MUTATION,
            COHERENCE,
            RECURSIVITY,
        ],
        "description": "Creative work from conception to completion",
        "expected_health": 0.82,
        "pattern": "CREATIVE",
        "characteristics": [
            "Contemplative start",
            "Initial expression",
            "Exploratory phase",
            "Iterative refinement",
        ],
    },
    "design_thinking": {
        "sequence": [
            RECEPTION,
            COHERENCE,
            EXPANSION,
            DISSONANCE,
            MUTATION,
            COHERENCE,
        ],
        "description": "Design process from empathy to prototype",
        "expected_health": 0.80,
        "pattern": "CREATIVE",
        "characteristics": [
            "User empathy",
            "Problem definition",
            "Ideation",
            "Prototype iteration",
        ],
    },
    "innovation": {
        "sequence": [
            COHERENCE,
            DISSONANCE,
            EXPANSION,
            SILENCE,
            MUTATION,
            COHERENCE,
        ],
        "description": "Innovation through creative destruction",
        "expected_health": 0.79,
        "pattern": "EXPLORE",
        "characteristics": [
            "Understand constraints",
            "Challenge assumptions",
            "Explore alternatives",
            "Breakthrough moment",
        ],
    },
    "collaborative_creation": {
        "sequence": [
            EMISSION,
            RECEPTION,
            COUPLING,
            RESONANCE,
            EXPANSION,
            SELF_ORGANIZATION,
            COHERENCE,
        ],
        "description": "Group creative process with emergent outcomes",
        "expected_health": 0.83,
        "pattern": "CREATIVE",
        "characteristics": [
            "Individual contributions",
            "Active collaboration",
            "Synergistic amplification",
            "Emergent product",
        ],
    },
}

# =============================================================================
# MASTER TEMPLATE DICTIONARY
# =============================================================================

DOMAIN_TEMPLATES: dict[str, dict[str, dict[str, object]]] = {
    "therapeutic": THERAPEUTIC_TEMPLATES,
    "educational": EDUCATIONAL_TEMPLATES,
    "organizational": ORGANIZATIONAL_TEMPLATES,
    "creative": CREATIVE_TEMPLATES,
}

# =============================================================================
# UTILITY FUNCTIONS
# =============================================================================


def get_template(domain: str, objective: str | None = None) -> list[str]:
    """Retrieve a template sequence for a specific domain and objective.

    Parameters
    ----------
    domain : str
        Application domain (therapeutic, educational, organizational, creative).
    objective : str, optional
        Specific objective within the domain. If None, returns the first
        template in the domain.

    Returns
    -------
    list[str]
        Operator sequence as canonical operator names.

    Raises
    ------
    KeyError
        If domain or objective not found.

    Examples
    --------
    >>> template = get_template("therapeutic", "crisis_intervention")
    >>> print(template)
    ['emission', 'reception', 'coherence', 'resonance', 'silence']
    """
    if domain not in DOMAIN_TEMPLATES:
        raise KeyError(
            f"Domain '{domain}' not found. Available: {list(DOMAIN_TEMPLATES.keys())}"
        )

    domain_dict = DOMAIN_TEMPLATES[domain]

    if objective is None:
        # Return first template in domain
        first_key = next(iter(domain_dict.keys()))
        return domain_dict[first_key]["sequence"]  # type: ignore[return-value]

    if objective not in domain_dict:
        raise KeyError(
            f"Objective '{objective}' not found in domain '{domain}'. "
            f"Available: {list(domain_dict.keys())}"
        )

    return domain_dict[objective]["sequence"]  # type: ignore[return-value]


def list_domains() -> list[str]:
    """list all available application domains.

    Returns
    -------
    list[str]
        list of domain names.

    Examples
    --------
    >>> domains = list_domains()
    >>> print(domains)
    ['therapeutic', 'educational', 'organizational', 'creative']
    """
    return list(DOMAIN_TEMPLATES.keys())


def list_objectives(domain: str) -> list[str]:
    """list all objectives available for a specific domain.

    Parameters
    ----------
    domain : str
        Application domain.

    Returns
    -------
    list[str]
        list of objective names for the domain.

    Raises
    ------
    KeyError
        If domain not found.

    Examples
    --------
    >>> objectives = list_objectives("therapeutic")
    >>> print(objectives)
    ['crisis_intervention', 'process_therapy', 'healing_cycle', 'trauma_processing']
    """
    if domain not in DOMAIN_TEMPLATES:
        raise KeyError(
            f"Domain '{domain}' not found. Available: {list(DOMAIN_TEMPLATES.keys())}"
        )

    return list(DOMAIN_TEMPLATES[domain].keys())