Attention
Attention is the τ-categorical selection operator on the input/state space of the neural τ³-computer (VI.D52) — the morphism that gates which subset of the system's instantaneous content enters the integrative core supporting Eval^(2) (CC2 of VI.D86). Selective awareness is not a separate faculty: it is the bottleneck through which inputs must pass to participate in the second-order self-evaluation that the constructive consciousness criteria require.
τ-Definition
Attention is the τ-categorical selection operator on the input/state space of the neural τ³-computer (VI.D52) — the morphism that gates which subset of the system's instantaneous content enters the integrative core supporting Eval^(2) (CC2 of VI.D86). Selective awareness is not a separate faculty: it is the bottleneck through which inputs must pass to participate in the second-order self-evaluation that the constructive consciousness criteria require.
Categorical invariant. Selection morphism A_τ : 𝒞(t) → 𝒞_attended(t) on the instantaneous content space 𝒞 of the τ³-computer, with the attended subgraph being precisely the subset that feeds the recurrent self-evaluation loop required by VI.D86 condition CC2. Attention thereby gates entry to the conscious workspace and, via reward modulation, gates entry to the learning PPAS update.
Primary registry anchor:
VI.D52
τ-Derivation Chain
-
I.K0— Universe Postulate -
VI.D15— Life Sector -
VI.D52— Neural Architecture as τ³ Computer -
VI.D69— Minimal Conscious Agent — requires centralized integration core -
VI.D86— Constructive Consciousness Criteria — CC2 demands Eval^(2) on the attended content -
VI.T38— Consciousness as Mixed-Sector Self-Modeling — attention is the gate, not the modeller
Empirical Correlate
Biomarker: Endogenous (top-down): fronto-parietal attention network (dorsal attention network — DAN: intraparietal sulcus, frontal eye fields). Exogenous (bottom-up): ventral attention network (VAN: temporoparietal junction, ventral frontal cortex). Neural signatures: alpha-band desynchronization (8–13 Hz) at attended cortical sites; gamma-band enhancement (30–80 Hz); pupil dilation; thalamic reticular nucleus gating.
Measurable range: Selective attention bandwidth: ~40–60 bits/s entering working memory from a sensory background of ~10⁷ bits/s — a >10⁵-fold compression. Attentional blink: missed second target within 200–500 ms of first. Useful field of view contracts under load. Inattentional blindness: gorillas-on-basketball-court (Simons & Chabris 1999) — content present but not attended is not reported.
Observation method: Behavioral: Posner cueing, attentional blink, change-blindness paradigms, dual-task interference. Imaging: fMRI of DAN/VAN, MEG of alpha desynchronization, EEG of P300/N2pc components. Pharmacological dissection: cholinergic and noradrenergic systems modulate attention — scopolamine impairs, methylphenidate enhances. Lesion: parietal lesions → hemineglect (contralesional space not attended).
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- L-handed acetylcholine and noradrenaline as stereospecific neuromodulators of attention gain
- stereospecific receptor subtypes (M1, α2, β) implementing endogenous gating
Manuscript reference: manuscript-sources/book-06/part06/ch40-neural-systems.tex
Lean Coverage
Status: Planned