Theorems — Clinical Neuroscience
Every theorem derives from Axiom-0. Classical results emerge as degenerate limits.
10 theorems across 1 modules
Catalog
| ID | Name | Module |
|---|---|---|
T-CN-1 | Cortical complexity orders F across DOC states. | neurocognitive_theorems |
T-CN-2 | DMN integrity is the dominant IC killer in neurodegeneration. | neurocognitive_theorems |
T-CN-3 | Psychedelic state has highest Bernoulli field entropy S. | neurocognitive_theorems |
T-CN-4 | Anesthesia maps to Collapse regime; locked-in preserves cortex. | neurocognitive_theorems |
T-CN-5 | All 35 states obey all three Tier-1 identities exactly. | neurocognitive_theorems |
T-CN-6 | Wake→NREM→REM follows a regime trajectory. | neurocognitive_theorems |
T-CN-7 | Healthy category has highest mean F and highest mean IC/F. | neurocognitive_theorems |
T-CN-8 | Psychiatric conditions have higher curvature than matched baselines. | neurocognitive_theorems |
T-CN-9 | DOC states follow the clinical consciousness gradient in F. | neurocognitive_theorems |
T-CN-10 | Neonatal has lowest F but highest neuroplasticity. | neurocognitive_theorems |
Neurocognitive Theorems
Source: closures/clinical_neuroscience/neurocognitive_theorems.py
T-CN-1: Cortical complexity orders F across DOC states.
- Function:
theorem_TCN1_consciousness_gradient() - Module:
neurocognitive_theorems
T-CN-2: DMN integrity is the dominant IC killer in neurodegeneration.
- Function:
theorem_TCN2_dmn_collapse_signature() - Module:
neurocognitive_theorems
T-CN-3: Psychedelic state has highest Bernoulli field entropy S.
- Function:
theorem_TCN3_entropic_brain() - Module:
neurocognitive_theorems
T-CN-4: Anesthesia maps to Collapse regime; locked-in preserves cortex.
- Function:
theorem_TCN4_anesthesia_collapse() - Module:
neurocognitive_theorems
T-CN-5: All 35 states obey all three Tier-1 identities exactly.
- Function:
theorem_TCN5_formal_compliance() - Module:
neurocognitive_theorems
T-CN-6: Wake→NREM→REM follows a regime trajectory.
- Function:
theorem_TCN6_sleep_wake_cycle() - Module:
neurocognitive_theorems
T-CN-7: Healthy category has highest mean F and highest mean IC/F.
- Function:
theorem_TCN7_healthy_supremacy() - Module:
neurocognitive_theorems
T-CN-8: Psychiatric conditions have higher curvature than matched baselines.
- Function:
theorem_TCN8_psychiatric_dispersion() - Module:
neurocognitive_theorems
T-CN-9: DOC states follow the clinical consciousness gradient in F.
- Function:
theorem_TCN9_doc_hierarchy() - Module:
neurocognitive_theorems
T-CN-10: Neonatal has lowest F but highest neuroplasticity.
- Function:
theorem_TCN10_developmental_plasticity() - Module:
neurocognitive_theorems
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