{"protocol":"ZeqPulse","doctrine":"genesis-v2","genesisAt":"2026-08-17T11:01:05.162Z","sinceGenesis":1829,"zeqond":2299825096,"phase":0.1492,"genesisTick":2299823266,"genesisUnixMs":1786964465162,"clockSource":"genesis","R_t":1.000806,"fieldStrength":1.000806,"timeToNextZeqond":0.6611,"pulseHz":1.287000000001287,"zeqondSec":0.777000777,"alpha":0.001,"precision":0.000806,"timestamp":"2026-08-17T11:24:46.672Z","modulation":"R(t) = [1 + α·sin(2π·f·t)]  where f=1.287 Hz, α=0.001","_kernel":{"notice":"Public compute endpoints: POST /api/zeq/prove (no key) and POST /api/zeq/compute (Bearer key from /api/demo-key). Results are independently checkable against textbook physics. Docs: GET /api/kernel/prompt","url":"https://machine.zeqstate.com/api/kernel","prompt":"https://machine.zeqstate.com/api/kernel/prompt","markdown":"https://machine.zeqstate.com/.well-known/zeq-os-kernel.md","version":"1.287.5","protocol":["PRIME DIRECTIVE: KO42 IS MANDATORY on every calculation without exception","OPERATOR LIMIT: Select 1–3 domain operators + KO42 (total ≤ 4)","SCALE PRINCIPLE: Match operators to problem domain — do not over-specify","PRECISION IMPERATIVE: Tune inputs until error ≤ 0.1%","COMPILE: Use the HULYAS Master Equation to synthesize all operators into one expression","EXECUTE: Apply via HULYAS Functional Equation — E = P_ϕ · Z(M, R, δ, C, X)","VERIFY & TROUBLESHOOT: Check ZeqState phase, R_t, Zeqond alignment, and precision bound"]}}