a11oy · AYNI-OS

AYNI-OS — reciprocity organism & time-reversible replay

A time-reversible (event-sourced), forkable runtime governed by an Ayni Conservation Law. Honest framing: Ayni is a game-theory primitive (Axelrod & Hamilton 1981; Trivers 1971), not mysticism; "time-reversal" is event-sourcing replay, not time-travel; Tinkuy is the Kuramoto (1975) order parameter. Locked Doctrine v11 numbers preserved (749/14/163, 13-axis yuyay_v3, replay bacf5443…631fc5).

Ayni gauges — per-organ reciprocity coefficient αo

GET /v1/ayni · α = In/(In+Out) · α<0.45 ⇒ HUKLLA T24 fires
loading… balanced α = 0.50 · deficit threshold 0.45

Replay timeline scrubber — verifiable state at past moment T

GET /v1/replay?at=<timestamp> · mechanism = event-sourcing-replay
T = chain —
drag the scrubber to reconstruct empire state at past timestamp T…

Tinkuy r meter — Kuramoto order parameter across organ phases

GET /v1/tinkuy · r = |1/N · Σ e^{iθ}| · r>0.85 ⇒ flow (suppress Reflexion)
r =
Citations (peer-reviewed): Axelrod & Hamilton, "The Evolution of Cooperation," Science 211(4489):1390–1396, 1981 (DOI 10.1126/science.7466396). Trivers, "The Evolution of Reciprocal Altruism," Q. Rev. Biol. 46(1):35–57, 1971 (DOI 10.1086/406755). Kuramoto, Lecture Notes in Physics 39, Springer, 1975. Csikszentmihalyi, Beyond Boredom and Anxiety, 1975. Strogatz, Sync, 2003. Noether, "Invariante Variationsprobleme," Göttingen, 1918.
Signed — Yachay (CTO). ADDITIVE only; yuyay_v3 hash untouched.