Theorems — Standard Model

Every theorem derives from Axiom-0. Classical results emerge as degenerate limits.

27 theorems across 3 modules

Catalog

ID	Name	Module
`T11`	NEUTRINO OSCILLATION AS PERIODIC CHANNEL DRIFT	`neutrino_oscillation`
`T12`	MATTER-ENHANCED MIXING AS REGIME TRANSITION	`neutrino_oscillation`
`T10`	NUCLEAR BINDING CURVE CORRESPONDENCE	`particle_physics_formalism`
`T1`	Spin-Statistics Kernel Theorem.	`particle_physics_formalism`
`T2`	Generation Monotonicity.	`particle_physics_formalism`
`T3`	Confinement as IC Collapse.	`particle_physics_formalism`
`T4`	Mass-Kernel Logarithmic Mapping.	`particle_physics_formalism`
`T5`	Charge Quantization Signature.	`particle_physics_formalism`
`T6`	Cross-Scale Universality.	`particle_physics_formalism`
`T7`	Symmetry Breaking as Trace Vector Deformation.	`particle_physics_formalism`
`T8`	CKM Unitarity as Kernel Identity.	`particle_physics_formalism`
`T9`	Running Coupling as Kernel Flow.	`particle_physics_formalism`
`T13`	PMNS ROW UNITARITY	`sm_extended_theorems`
`T14`	QUARK-LEPTON COMPLEMENTARITY	`sm_extended_theorems`
`T15`	YUKAWA HIERARCHY SPAN	`sm_extended_theorems`
`T16`	ELECTROWEAK MASS PREDICTION	`sm_extended_theorems`
`T17`	ASYMPTOTIC FREEDOM	`sm_extended_theorems`
`T18`	COUPLING UNIFICATION TREND	`sm_extended_theorems`
`T19`	R-RATIO QCD POSITIVITY	`sm_extended_theorems`
`T20`	FLAVOR THRESHOLD STRUCTURE	`sm_extended_theorems`
`T21`	CONFINEMENT IC CLIFF (MATTER MAP)	`sm_extended_theorems`
`T22`	NUCLEAR BINDING IC RECOVERY	`sm_extended_theorems`
`T23`	GENESIS TIER-1 UNIVERSALITY	`sm_extended_theorems`
`T24`	CONFINEMENT GAP DOMINANCE	`sm_extended_theorems`
`T25`	CKM JARLSKOG INVARIANT	`sm_extended_theorems`
`T26`	SIX-SCALE TIER-1 VERIFICATION	`sm_extended_theorems`
`T27`	LEPTONIC CP VIOLATION	`sm_extended_theorems`

Neutrino Oscillation

Source: closures/standard_model/neutrino_oscillation.py

T11: NEUTRINO OSCILLATION AS PERIODIC CHANNEL DRIFT

Function: theorem_T11_neutrino_oscillation_drift()
Module: neutrino_oscillation

T12: MATTER-ENHANCED MIXING AS REGIME TRANSITION

Function: theorem_T12_matter_enhanced_mixing()
Module: neutrino_oscillation

Particle Physics Formalism

Source: closures/standard_model/particle_physics_formalism.py

T10: NUCLEAR BINDING CURVE CORRESPONDENCE

Function: theorem_T10_nuclear_binding_curve()
Module: particle_physics_formalism

T1: Spin-Statistics Kernel Theorem.

Function: theorem_T1_spin_statistics()
Module: particle_physics_formalism

T2: Generation Monotonicity.

Function: theorem_T2_generation_monotonicity()
Module: particle_physics_formalism

T3: Confinement as IC Collapse.

Function: theorem_T3_confinement_IC_collapse()
Module: particle_physics_formalism

T4: Mass-Kernel Logarithmic Mapping.

Function: theorem_T4_mass_kernel_log_mapping()
Module: particle_physics_formalism

T5: Charge Quantization Signature.

Function: theorem_T5_charge_quantization()
Module: particle_physics_formalism

T6: Cross-Scale Universality.

Function: theorem_T6_cross_scale_universality()
Module: particle_physics_formalism

T7: Symmetry Breaking as Trace Vector Deformation.

Function: theorem_T7_symmetry_breaking()
Module: particle_physics_formalism

T8: CKM Unitarity as Kernel Identity.

Function: theorem_T8_ckm_unitarity()
Module: particle_physics_formalism

T9: Running Coupling as Kernel Flow.

Function: theorem_T9_running_coupling_flow()
Module: particle_physics_formalism

Sm Extended Theorems

Source: closures/standard_model/sm_extended_theorems.py

T13: PMNS ROW UNITARITY

Function: theorem_T13_pmns_row_unitarity()
Module: sm_extended_theorems

T14: QUARK-LEPTON COMPLEMENTARITY

Function: theorem_T14_quark_lepton_complementarity()
Module: sm_extended_theorems

T15: YUKAWA HIERARCHY SPAN

Function: theorem_T15_yukawa_hierarchy_span()
Module: sm_extended_theorems

T16: ELECTROWEAK MASS PREDICTION

Function: theorem_T16_electroweak_mass_prediction()
Module: sm_extended_theorems

T17: ASYMPTOTIC FREEDOM

Function: theorem_T17_asymptotic_freedom()
Module: sm_extended_theorems

T18: COUPLING UNIFICATION TREND

Function: theorem_T18_coupling_unification_trend()
Module: sm_extended_theorems

T19: R-RATIO QCD POSITIVITY

Function: theorem_T19_r_ratio_qcd_positivity()
Module: sm_extended_theorems

T20: FLAVOR THRESHOLD STRUCTURE

Function: theorem_T20_flavor_threshold_structure()
Module: sm_extended_theorems

T21: CONFINEMENT IC CLIFF (MATTER MAP)

Function: theorem_T21_confinement_ic_cliff_map()
Module: sm_extended_theorems

T22: NUCLEAR BINDING IC RECOVERY

Function: theorem_T22_nuclear_binding_ic_recovery()
Module: sm_extended_theorems

T23: GENESIS TIER-1 UNIVERSALITY

Function: theorem_T23_genesis_tier1_universality()
Module: sm_extended_theorems

T24: CONFINEMENT GAP DOMINANCE

Function: theorem_T24_confinement_gap_dominance()
Module: sm_extended_theorems

T25: CKM JARLSKOG INVARIANT

Function: theorem_T25_ckm_jarlskog_invariant()
Module: sm_extended_theorems

T26: SIX-SCALE TIER-1 VERIFICATION

Function: theorem_T26_six_scale_tier1_verification()
Module: sm_extended_theorems

T27: LEPTONIC CP VIOLATION

Function: theorem_T27_leptonic_cp_violation()
Module: sm_extended_theorems

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