The identity equation isn’t only a diagram — it runs. As an agent loop it’s a particle filter: a cloud of “equals” carrying weights that reflect belief from evidence, a constancy regulator C mixing what it predicted with what it just saw, and a value-driven nudge Δ toward a goal under a risk penalty.
The coherent self now — Iₜ — is the dot that synthesis settles on this instant. Watch it move and the abstract three terms become visible: evidence reweights the cloud, C keeps it from chasing every spike, Δ leans it toward where it means to go.
Links from this note
Evidence · the equation, running
Sovereign in geospatial mode — the self resolving against where you are. Iₜ is the point the synthesis settles on, recomputed live.
Context-capsule mode — the same regulator, a different evidence stream. The equation isn't a diagram here; it's the running loop on your wrist.
How it has been tended
Planted from the agentic demo.
Made the particle-filter reading run, not just diagram.
drift: The agent-loop framing may outrun what I can demo.
Rebuilt the proof so you can actually read it — plain-language controls with live values, larger labelled handles, and Discovery/Test/Delivery gate presets tying it to the drift note.
drift: Dragging the handles is still mouse/touch only — no keyboard path yet.
Rebuilt the proof as a 3D Hilbert space — the whole lexicon hung as a cloud of weighted equals, evidence lighting it, the synthesis where it settles. Intent now visibly steers the self off that synthesis and holds the line; Discovery / Test / Delivery reshape the motion. Click any star to read the word.
drift: It runs C(Σ±Δ) for legibility, not the literal particle-filter step — honest enough?
Grew the landing-page tree into the same 3D space as the map and proof — a bark trunk for the ethics root, six boughs in the families' colors fanning into real depth, the notes blooming as buds toward the sun. Hover names a thought; click opens it.
drift: Three pieces now share one space and one language; the rest of the site is still flat by comparison.