{"protocol":"ZeqPulse","zeqond":2299073550,"phase":0.0693,"sinceGenesis":9895,"genesisTick":2299063623,"genesisUnixMs":1786374221515,"genesisAt":"2026-08-10T15:03:41.515Z","clockSource":"genesis","R_t":1.000422,"fieldStrength":1.000422,"timeToNextZeqond":0.7232,"pulseHz":1.287000000001287,"zeqondSec":0.777000777,"alpha":0.001,"precision":0.000422,"timestamp":"2026-08-10T17:12:14.784Z","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.zeq.dev/api/kernel","prompt":"https://machine.zeq.dev/api/kernel/prompt","markdown":"https://www.zeq.dev/.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"]}}