A phase-1 mean-field implementation of the reflexive loop
z → a=Z(t) → M → C → Ω → return, per
Y_THEORY_EMERGENT_OBSERVER_MODE_PATCH_2026-09-03. Recursively nested field levels are displayed
on declared ring-torus scaffolds; each node supplies one live main-loop phase while its tube lane is fixed
by the renderer. That one-live-angle display does not itself earn an S¹×S¹ phase
topology. Click a glowing (drillable) node to descend one scale; the collective mode
shown is always this level's own ρeiΘ, never invented from a level you
have not visited. The greturn slider is the decisive control from
OBSERVER_MODE_SIMULATOR_SPEC.md: at 0, a persistent coherent whole may be earned, but no
observer can be earned because Ω is not returned. Above 0, retained comparison is fed back into
this level's own phase update; observerhood is earned only after that return has actually changed the
field. The coherence threshold and persistence window are explicit simulator-level detectors, not source
constants.
The loaded fractal-observer-teaching-profile-v2 is a finite, replayable teaching projection.
At every recursive field, coupling, delay, and tick interval are derived from that field's own base rate:
K=ωrK, τ=rτ/ω, and
Δttick=rtick/ω. Unique path addresses and the resolved network
fingerprint below identify the exact topology and materialized operator being viewed. The ratios, counts,
and finite depth are explicit implementation choices; the recursive identity and observer-return relations
are the source-traced structure.
Node position around the main loop is that node's own phase θj; position around the tube is a fixed per-node lane (a display convention, not a source quantity). Brighter, larger nodes contain a nested field — click to drill in. Drag to orbit, scroll to zoom.
This view reports the implemented phase-1 mean-field proxy. Canonical QW/QD participation from the dominant mode is a later simulator layer to integrate; it is not an unresolved Y-Theory source claim. The formal source target is QW/QD=φ, normalized as pW=1/φ≈0.618 and pD=1/φ²≈0.382. The live proxy above does not yet test that dominant-mode allocation.
Observer only after coherent whole + retained comparison + applied return.