Mixed-Sector Self-Modeling
Mixed-sector self-modeling is the τ-categorical structural mechanism — a system that lives in the consumer (γ × η) sector (VI.D20) and recursively models its own state across all four sector primitives E_E, E_P, E_D, E_C. It is the architectural content that the constructive consciousness criteria operationalize (CC1 names its topology, CC2 names its recursion, CC3 names its self-model) and that VI.T38 names as the theorem ground for phenomenal experience.
τ-Definition
Mixed-sector self-modeling is the τ-categorical structural mechanism — a system that lives in the consumer (γ × η) sector (VI.D20) and recursively models its own state across all four sector primitives E_E, E_P, E_D, E_C. It is the architectural content that the constructive consciousness criteria operationalize (CC1 names its topology, CC2 names its recursion, CC3 names its self-model) and that VI.T38 names as the theorem ground for phenomenal experience.
Categorical invariant. A self-modeling functor Σ_self : X → X^X on a system X whose base lives in the consumer mixer sector (VI.D20) — i.e. exhibits non-trivial winding along both fiber generators of T² (π₁(T²) ≅ ℤ × ℤ) — such that Σ_self mixes contributions from all four sector primitives (E_E, E_P, E_D, E_C) and is closed under second-order self-evaluation Eval^(2) = Eval ∘ Eval.
Primary registry anchor:
VI.D69
τ-Derivation Chain
-
I.K0— Universe Postulate -
VI.D15— Life Sector -
VI.D20— Consumer Mixed Sector — non-trivial winding along both T² generators -
VI.D52— Neural Architecture as τ³ Computer — biological substrate (in mammals) -
VI.D68— Structural Self-Model — three internal conditions -
VI.D69— Minimal Conscious Agent — architectural definition -
VI.D86— Constructive Consciousness Criteria — operational reformulation -
VI.T38— Consciousness as Mixed-Sector Self-Modeling — the theorem
Empirical Correlate
Biomarker: Architectural signatures: thalamocortical recurrent loops + cortico-cortical recurrent loops as the two independent π₁ generators of CC1; default-mode network (DMN) coherence as macroscopic self-model substrate (CC3); fronto-parietal control network as second-order evaluator (CC2). Cross-modal integration index — the degree to which sensory, motor, autonomic, and reward sectors share representations in the integrative core.
Measurable range: Healthy adult: DMN coherence high during rest and self-referential thought; recurrent thalamocortical loop bandwidth supports reentrant signaling at gamma rates (30–80 Hz). Cross-sector integration is high in awake adults, reduced in NREM, distorted in REM (dreams). Pathological dissociations: depersonalization disorder (CC3 weakened), schizophrenia (CC2 + CC3 perturbations), split-brain syndrome (two partial Σ_self after corpus callosotomy).
Observation method: fMRI of DMN and fronto-parietal control network coherence; MEG/EEG of cross-frequency phase-amplitude coupling (theta-gamma) as integration signature; TMS-PCI for second-order evaluator integrity; connectomic measures (rich-club coefficient, global efficiency) as topological probes for the consumer-sector loop structure.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- L-handed neurotransmitter system supporting the recurrent thalamocortical and cortico-cortical loops
- stereospecific receptor coupling that integrates E_E, E_P, E_D, E_C contributions in the same neuron
Manuscript reference: manuscript-sources/book-06/part08/ch51-consciousness.tex
Lean Coverage
Status: Planned