Standing conventions. Predictor magnitude is strictly positive (P > 0). Phase α is kept; γ is retired. Idea weights are unnormalized. Felt magnitude always uses |E|; steering uses α.
1) Core Law and Readouts
The right-hand side is fully unconscious. The left-hand side observes only a radius and an angle.
2) Ideas as Host-Indexed Coherent Bias
Ideas remain Platonic (perfect). The number I is not an “ideal target”; it is the host-coupled coherent bias of the idea ensemble at this moment:
- Steering: \(\alpha\) rotates with I/P (direction only).
- Aperture: r=A/|E| tightens as |I| (or P) grows (magnitude only).
3) Breath (oo–ah) as a Vital Sign
With hands off, A(t) and |E(t)| wander; the witness reads S(t)=\ln r(t) alternating contraction/expansion.
- Expansion (AH): r>1 ⇔ A>|E|.
- Contraction (OO): r<1 ⇔ A<|E|.
- Healthy breath: frequent zero-crossings of S(t) over time.
4) Habit: Predictive, Attentional, and Motor
Habit is an unconscious, cue-bound policy that produces reproducible (α,r) without invoking agency.
Predictive habit (P inertia)
Slow drift maintains a stable baseline; diurnal setpoints live in g.
Attentional habit (I drift)
Small, reproducible I signatures reappear under recurring cues.
Motor habit (bounded clutch)
Brief, regular engagements (h=1) that release on their own restore breath. Bounded dwell distinguishes habit from fixation.
5) Modulatory Gating and the Clutch (Mechanism, not “talking”)
Conscious recruitment appears when a modulatory drive crosses threshold and engages a hold mechanism—analogous to a ligand–receptor gate, not persuasion.
When h=1, angle pins within a narrow band and the frame stays tight; the autoguide scan is starved until the gate relaxes.
6) Natural Brakes (Why Runaways Fade Without Agency)
- Finite coupling capacity: leaky accumulation (λ>0) with noise keeps |I| transient.
- Autoguide scanning: hands-off sweep prefers coverage; α drifts back toward small values on average.
- Adaptation: marginal response to a held band decays (habituation), releasing the clutch.
7) Diagnostics & Practical Tests
Breath index. Count zero-crossings of S(t) over a window; too few implies narrow sampling.
Manual dwell index. Large dwell with tight frame and pinned angle indicates clutch engagement:
Breadth under abundant variety. Many small bands (near-parity) keep I≈0 and preserve breathing. Engineered scarcity increases dwell pressure in a narrow band and elevates |I|.
8) Edge Cases & Guardrails
- Harmony: I=0 does not mean “no ideas,” only diametric balance for this actualizer now.
- Dominance: unnormalized alignment can make |I|≫P and r very small; runaways still end via natural brakes.
- Bounded focus vs fixation: bounded (h=1) sprints with deliberate release are skill; unbounded dwell that suppresses breath is pathology.
9) Quick Numerics
Balanced day. P=10, I=0. If A wanders 8–12, then r crosses 1 often; S alternates signs (breath).
Dominance episode. P=6, I=100, A=1. |E|≈100.18, r≈0.00998, α≈86.6° (tight, idea-led). Without manual holding, leak and adaptation relax the episode; breath returns.
Definitions (for reuse)
- Reality:
- Expectation:
- Phase:
- Witness readout:
- Idea channel:
- Modulatory drive & clutch:
- Habit: cue-bound, bounded clutch; restores zero-crossings of S after brief holds.