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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/sdk/templates.py

templates.py

Pre-configured templates for common TNFR use cases.

This module provides ready-to-use templates for domain-specific TNFR applications. Each template encodes structural patterns and operator sequences appropriate for modeling different types of complex systems while maintaining TNFR theoretical fidelity.

Examples

Model social network dynamics:

from tnfr.sdk import TNFRTemplates results = TNFRTemplates.social_network_simulation( ... people=50, connections_per_person=6, simulation_steps=25 ... ) print(results.summary())

Model neural network with TNFR principles:

results = TNFRTemplates.neural_network_model( ... neurons=100, connectivity=0.15, activation_cycles=30 ... )

Source Code

python
"""Pre-configured templates for common TNFR use cases.

This module provides ready-to-use templates for domain-specific TNFR
applications. Each template encodes structural patterns and operator
sequences appropriate for modeling different types of complex systems
while maintaining TNFR theoretical fidelity.

Examples
--------
Model social network dynamics:

>>> from tnfr.sdk import TNFRTemplates
>>> results = TNFRTemplates.social_network_simulation(
...     people=50, connections_per_person=6, simulation_steps=25
... )
>>> print(results.summary())

Model neural network with TNFR principles:

>>> results = TNFRTemplates.neural_network_model(
...     neurons=100, connectivity=0.15, activation_cycles=30
... )
"""

from __future__ import annotations

from ..constants.canonical import (
    SDK_CONNECTIVITY_DEFAULT,
    SDK_INSPIRATION_LEVEL,
    SDK_INTERACTION_STRENGTH,
    SDK_VF_RANGE_LOW_MAX,
    SDK_VF_RANGE_LOW_MIN,
    SDK_VF_RANGE_MODERATE_MAX,
    SDK_VF_RANGE_MODERATE_MIN,
)
from .fluent import NetworkResults, TNFRNetwork

__all__ = ["TNFRTemplates"]


class TNFRTemplates:
    """Pre-configured templates for common domain-specific use cases.

    This class provides static methods that encode expert knowledge about
    how to apply TNFR to different domains. Each template configures
    appropriate structural frequencies, topologies, and operator sequences
    for its target domain.

    Methods are named after the domain they model and return
    :class:`NetworkResults` instances ready for analysis.
    """

    @staticmethod
    def social_network_simulation(
        people: int = 50,
        connections_per_person: int = 5,
        simulation_steps: int = 20,
        random_seed: int | None = None,
    ) -> NetworkResults:
        """Simulate social network dynamics using TNFR.

        Models human social networks where nodes represent individuals with
        moderate structural frequencies (representing human timescales) and
        small-world connectivity (reflecting real social structures).

        The simulation applies activation, synchronization, and consolidation
        phases that mirror social dynamics: initial interaction, alignment
        of behaviors/beliefs, and stabilization of relationships.

        Parameters
        ----------
        people : int, default=50
            Number of individuals in the social network.
        connections_per_person : int, default=5
            Average number of social connections per person.
        simulation_steps : int, default=20
            Number of simulation steps to run.
        random_seed : int, optional
            Random seed for reproducibility.

        Returns
        -------
        NetworkResults
            Results containing coherence metrics and sense indices.

        Examples
        --------
        >>> results = TNFRTemplates.social_network_simulation(people=100)
        >>> print(f"Social coherence: {results.coherence:.3f}")
        """
        connection_prob = connections_per_person / people

        network = TNFRNetwork("social_network")
        if random_seed is not None:
            network._config.random_seed = random_seed

        # Human timescale frequencies: moderate reorganization rates
        network.add_nodes(
            people, vf_range=(SDK_VF_RANGE_LOW_MIN, SDK_VF_RANGE_MODERATE_MAX)
        )  # Human timescale canonical

        # Small-world topology reflects real social structures
        network.connect_nodes(connection_prob, "small_world")

        # Simulate social dynamics in phases
        steps_per_phase = simulation_steps // 3

        # Phase 1: Initial activation (meeting, interacting)
        network.apply_sequence("basic_activation", repeat=steps_per_phase)

        # Phase 2: Network synchronization (alignment, influence)
        network.apply_sequence("network_sync", repeat=steps_per_phase)

        # Phase 3: Consolidation (stabilization of relationships)
        network.apply_sequence(
            "consolidation", repeat=simulation_steps - 2 * steps_per_phase
        )

        return network.measure()

    @staticmethod
    def neural_network_model(
        neurons: int = 100,
        connectivity: float = SDK_CONNECTIVITY_DEFAULT,  # Canonical neural connectivity
        activation_cycles: int = 30,
        random_seed: int | None = None,
    ) -> NetworkResults:
        """Model neural network using TNFR structural principles.

        Represents neurons as TNFR nodes with moderate to high structural
        frequencies (within TNFR bounds) and sparse random connectivity
        (typical of cortical networks). Applies rapid activation cycles
        to model neural firing patterns.

        Parameters
        ----------
        neurons : int, default=100
            Number of neurons in the network.
        connectivity : float, default=0.15
            Connection probability between neurons (sparse connectivity).
        activation_cycles : int, default=30
            Number of activation cycles to simulate.
        random_seed : int, optional
            Random seed for reproducibility.

        Returns
        -------
        NetworkResults
            Results with neural coherence and sense indices.

        Examples
        --------
        >>> results = TNFRTemplates.neural_network_model(neurons=200)
        >>> avg_si = sum(results.sense_indices.values()) / len(results.sense_indices)
        >>> print(f"Average neural sense: {avg_si:.3f}")
        """
        network = TNFRNetwork("neural_model")
        if random_seed is not None:
            network._config.random_seed = random_seed

        # Neural frequencies: high end of valid range (0.5-1.0 Hz_str)
        network.add_nodes(
            neurons, vf_range=(SDK_VF_RANGE_MODERATE_MIN, SDK_VF_RANGE_MODERATE_MAX)
        )  # Neural frequencies canonical

        # Sparse random connectivity typical of cortical networks
        network.connect_nodes(connectivity, "random")

        # Rapid activation cycles modeling neural firing
        network.apply_sequence("basic_activation", repeat=activation_cycles)

        return network.measure()

    @staticmethod
    def ecosystem_dynamics(
        species: int = 25,
        interaction_strength: float = SDK_INTERACTION_STRENGTH,  # Canonical interaction strength
        evolution_steps: int = 50,
        random_seed: int | None = None,
    ) -> NetworkResults:
        """Model ecosystem dynamics with TNFR structural evolution.

        Represents species as nodes with diverse structural frequencies
        (within TNFR bounds) and medium connectivity (species interactions).
        Alternates between mutation (innovation), synchronization (adaptation),
        and consolidation (stable ecosystems).

        Parameters
        ----------
        species : int, default=25
            Number of species in the ecosystem.
        interaction_strength : float, default=0.25
            Probability of ecological interactions between species.
        evolution_steps : int, default=50
            Number of evolutionary steps to simulate.
        random_seed : int, optional
            Random seed for reproducibility.

        Returns
        -------
        NetworkResults
            Results showing ecosystem coherence and species sense indices.

        Examples
        --------
        >>> results = TNFRTemplates.ecosystem_dynamics(species=30)
        >>> print(f"Ecosystem stability: {results.coherence:.3f}")
        """
        network = TNFRNetwork("ecosystem")
        if random_seed is not None:
            network._config.random_seed = random_seed

        # Biological timescales: diversity within bounds (0.2-0.9 Hz_str)
        network.add_nodes(
            species, vf_range=(SDK_VF_RANGE_LOW_MIN, SDK_VF_RANGE_MODERATE_MAX)
        )  # Biological timescales canonical

        # Random interaction network
        network.connect_nodes(interaction_strength, "random")

        # Simulate evolution in cycles
        num_cycles = evolution_steps // 10
        for cycle in range(num_cycles):
            phase = cycle % 3

            if phase == 0:
                # Innovation: mutations and new forms
                network.apply_sequence("creative_mutation", repeat=3)
            elif phase == 1:
                # Adaptation: species synchronize to environment
                network.apply_sequence("network_sync", repeat=5)
            else:
                # Stabilization: ecosystem consolidates
                network.apply_sequence("consolidation", repeat=2)

        return network.measure()

    @staticmethod
    def creative_process_model(
        ideas: int = 15,
        inspiration_level: float = SDK_INSPIRATION_LEVEL,  # Canonical creative inspiration
        development_cycles: int = 12,
        random_seed: int | None = None,
    ) -> NetworkResults:
        """Model creative processes using TNFR structural evolution.

        Represents ideas as nodes with diverse structural frequencies
        (creative exploration within TNFR bounds) starting with sparse
        connectivity (disconnected ideas). Applies exploration, mutation,
        and synthesis sequences to model creative ideation and development.

        Parameters
        ----------
        ideas : int, default=15
            Number of initial ideas/concepts.
        inspiration_level : float, default=0.4
            Level of cross-pollination between ideas (rewiring probability).
        development_cycles : int, default=12
            Number of creative development cycles.
        random_seed : int, optional
            Random seed for reproducibility.

        Returns
        -------
        NetworkResults
            Results showing creative coherence and idea sense indices.

        Examples
        --------
        >>> results = TNFRTemplates.creative_process_model(ideas=20)
        >>> print(f"Creative coherence: {results.coherence:.3f}")
        """
        network = TNFRNetwork("creative_process")
        if random_seed is not None:
            network._config.random_seed = random_seed

        # Diverse frequencies for creative exploration (0.3-0.9 Hz_str)
        network.add_nodes(
            ideas, vf_range=(SDK_VF_RANGE_LOW_MIN, SDK_VF_RANGE_MODERATE_MAX)
        )  # Creative exploration canonical

        # Sparse initial connectivity: ideas start disconnected
        network.connect_nodes(
            SDK_CONNECTIVITY_DEFAULT, "random"
        )  # Canonical sparse connectivity

        # Creative process in phases
        cycles_per_phase = development_cycles // 3

        # Phase 1: Exploration (divergent thinking)
        network.apply_sequence("exploration", repeat=cycles_per_phase)

        # Phase 2: Development (mutation and elaboration)
        network.apply_sequence("creative_mutation", repeat=cycles_per_phase)

        # Phase 3: Integration (convergent synthesis)
        network.apply_sequence(
            "network_sync", repeat=development_cycles - 2 * cycles_per_phase
        )

        return network.measure()

    @staticmethod
    def organizational_network(
        agents: int = 40,
        hierarchy_depth: int = 3,
        coordination_steps: int = 25,
        random_seed: int | None = None,
    ) -> NetworkResults:
        """Model organizational networks with hierarchical structure.

        Creates a hierarchical network structure representing organizational
        levels with moderate structural frequencies (organizational timescales).
        Models coordination and information flow through the hierarchy.

        Parameters
        ----------
        agents : int, default=40
            Number of agents/roles in the organization.
        hierarchy_depth : int, default=3
            Number of hierarchical levels.
        coordination_steps : int, default=25
            Number of coordination cycles to simulate.
        random_seed : int, optional
            Random seed for reproducibility.

        Returns
        -------
        NetworkResults
            Results showing organizational coherence.

        Examples
        --------
        >>> results = TNFRTemplates.organizational_network(agents=50)
        >>> print(f"Organizational coherence: {results.coherence:.3f}")
        """
        network = TNFRNetwork("organizational_network")
        if random_seed is not None:
            network._config.random_seed = random_seed

        # Organizational timescales: moderate frequencies
        network.add_nodes(
            agents, vf_range=(SDK_VF_RANGE_LOW_MIN, SDK_VF_RANGE_LOW_MAX)
        )  # Market agent canonical frequencies

        # Small-world topology approximates organizational structure
        # (local teams + cross-functional connections)
        network.connect_nodes(0.15, "small_world")

        # Simulate organizational dynamics
        steps_per_phase = coordination_steps // 2

        # Phase 1: Information propagation and alignment
        network.apply_sequence("network_sync", repeat=steps_per_phase)

        # Phase 2: Stabilization of coordinated action
        network.apply_sequence(
            "consolidation", repeat=coordination_steps - steps_per_phase
        )

        return network.measure()