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HulyaPulse Daemon

Every endpoint in the Zeq API is sequenced by a single global clock — the HulyaPulse, running at exactly f = 1.287 Hz. One tick of the pulse is one zeqond: T_Z = 0.777 s.

zeqond_tick = floor(unix_time / 0.777)
phase       = (unix_time mod 0.777) / 0.777     // ∈ [0, 1)

The daemon does three things:

  1. Stamps every request with the current zeqondTick and phase so events from different nodes can be ordered without negotiation.
  2. Enforces the KO42 ground state on every CKO — no computation may leave the kernel without KO42 in its operator chain.
  3. Runs the 7-step wizard protocol as a precondition gate.

The 7-step wizard protocol​

Verbatim, applied to every /api/zeq/compute, /api/zeq/lattice, /api/zeq/shift, and /api/genesis/execute call:

  1. Prime directive: KO42 is mandatory. Every chain begins with KO42.
  2. Operator limit: 1–3 additional operators + KO42 (total ≤ 4 unless allowVxFallback).
  3. Scale principle: match operators to domain. QM* for quantum, NM* for newtonian, GR* for relativistic, etc.
  4. Precision imperative: tune to ≤0.1% error. The CKO carries precisionBound.
  5. Compile via the Master Equation (HULYAS).
  6. Execute via the Functional Equation E = P_ϕ · Z(M, R, δ, C, X).
  7. Verify & troubleshoot. Output a ZeqProof HMAC over (operators, masterSum, zeqond, keyPrefix).

If any step fails, the request returns 412 PRECONDITION_FAILED and no row is published to ZeqState.

GET /api/zeq/pulse​

Public liveness probe. Returns the current zeqond, phase, and HulyaPulse hertz so clients can phase-align without their own clock.

See Pulse reference for the full schema and SSE streaming variant.

CKO envelope​

Every successful compute returns a Canonical Kernel Output:

{
  "operators": ["KO42", "QM1", "GR32"],
  "masterSum": -3.14159265,
  "R_t": 1.00128762,
  "phase": 0.4127,
  "zeqond": 65392856,
  "precisionBound": 0.000181,
  "zeqProof": {
    "alg": "HMAC-SHA256",
    "value": "a1b2c3...",
    "keyPrefix": "zeq_ak_..."
  }
}

The R(t) value is the universal proper-time modulation:

R(t) = S(t) [1 + α sin(2π · 1.287 · t + φ₀)],   α ≈ 1.29 × 10⁻³

Averaging R(t) over one zeqond recovers S(t) exactly — that's the precision guarantee the daemon enforces.