Daemon API

The HulyaPulse daemon provides real-time monitoring of the quantum pulse field, including timing synchronization, TESC attestation (Proof of Liveness And Time), and thermodynamic computation bounds. All endpoints are public and require no authentication.

Overview

HulyaPulse operates at 1.287 Hz with a 0.777 second (Zeqond) period. The KO42 modulation factor applies harmonic modulation:

r(t) = 1 + 0.00129 * sin(2π * 1.287 * t)

TESC (Proof of Liveness And Time) provides a verifiable chain of attestations, with chain depth advancing every Zeqond. The daemon synchronizes all computation across the Zeq network.

Health & Status

Daemon Health Check

Quick health status of the HulyaPulse daemon.

GET /api/daemon/health

Response:

{
  "ok": true,
  "status": "healthy",
  "service": "HulyaPulse",
  "pulse_count": number,
  "tesc_enabled": boolean
}

Example:

curl -X GET http://localhost:3000/api/daemon/health

Full Daemon Status

Complete daemon state including pulse tracking, timing, and TESC information.

GET /api/daemon/status

Response:

{
  "ok": true,
  "running": boolean,
  "pulse_count": number,
  "zeqond": number,
  "zeqond_bigbang": number,
  "frequency": 1.287,
  "period": 0.777,
  "phase": number (0-2π radians),
  "timestamp": "string (ISO 8601)",
  "tesc": {
    "plat": "string (proof hash)",
    "zeqond_idx": number,
    "chain_depth": number
  }
}

Field Definitions:

• zeqond — Current Zeqond count since daemon start
• zeqond_bigbang — Zeqonds since the Big Bang (~4.35086e17 seconds ago, normalized by 0.777)
• phase — Current phase angle in the HulyaPulse cycle (radians)
• frequency — Base frequency in Hz (1.287 Hz)
• period — Period of one full Zeqond (0.777 seconds)

Example:

curl -X GET http://localhost:3000/api/daemon/status

Pulse Tracking

Get Current Pulse State

Retrieve the current state of the quantum pulse field.

GET /api/daemon/pulse

Response:

{
  "ok": true,
  "pulse_count": number,
  "phase": number (radians, 0-2π),
  "zeqond_index": number,
  "r_t": number (KO42 modulation factor),
  "ko42": number (KO42 modulation factor),
  "frequency": 1.287,
  "timestamp": "string (ISO 8601)"
}

Field Definitions:

• pulse_count — Total pulses since daemon start
• phase — Current phase in the pulse cycle
• r_t / ko42 — Harmonic modulation factor (same value): 1 + 0.00129 * sin(2π * 1.287 * t)
• The KO42 modulation applies to all computation results, scaling results by r(t)

Example:

curl -X GET http://localhost:3000/api/daemon/pulse

Example Response:

{
  "ok": true,
  "pulse_count": 4827,
  "phase": 3.14159,
  "zeqond_index": 6227,
  "r_t": 1.00089,
  "ko42": 1.00089,
  "frequency": 1.287,
  "timestamp": "2026-04-04T14:32:15.843Z"
}

TESC Attestation

Get TESC Proof of Liveness And Time

Retrieve the current TESC attestation chain for time verification.

GET /api/daemon/tesc

Response:

{
  "ok": true,
  "plat": "string (HMAC-SHA256 hash)",
  "zeqond_idx": number,
  "chain_depth": number,
  "algorithm": "HMAC-SHA256"
}

Field Definitions:

• plat — Proof of Liveness And Time hash (HMAC-SHA256)
• zeqond_idx — Zeqond index at which this proof was generated
• chain_depth — Depth of the verification chain (increments per Zeqond)
• algorithm — Hash algorithm used (HMAC-SHA256)

TESC Verification: TESC provides a verifiable, monotonically-increasing chain of time attestations. Each Zeqond, the daemon generates a new HMAC-SHA256 hash based on:

• Previous chain hash
• Current Zeqond index
• Network timestamp

This creates an unbreakable chain of evidence that the daemon was running continuously.

Example:

curl -X GET http://localhost:3000/api/daemon/tesc

Landauer Erasure Bound

Get Thermodynamic Computation Bounds

Retrieve the Landauer limit for information erasure in the current computational environment.

GET /api/daemon/landauer

Response:

{
  "ok": true,
  "energy": number (joules),
  "suns": number (equivalent solar irradiance),
  "bits": 256,
  "temperature_k": 300,
  "boltzmann_k": 1.380649e-23,
  "description": "string (explanation)"
}

Field Definitions:

• energy — Minimum energy required to erase 256 bits at 300K (in joules)
• suns — Equivalent power output in units of solar irradiance (1361 W/m²)
• bits — Number of bits being erased (256)
• temperature_k — Absolute temperature in Kelvin (300K = ~27°C)
• boltzmann_k — Boltzmann constant (1.380649 × 10⁻²³ J/K)

Calculation:

E = k_B * T * ln(2) * bits
E = 1.380649e-23 * 300 * 0.693147 * 256
E ≈ 7.64e-19 joules

This represents the irreducible minimum energy cost to erase information, according to the Second Law of Thermodynamics (Landauer principle).

Example:

curl -X GET http://localhost:3000/api/daemon/landauer

Example Response:

{
  "ok": true,
  "energy": 7.639e-19,
  "suns": 5.62e-25,
  "bits": 256,
  "temperature_k": 300,
  "boltzmann_k": 1.380649e-23,
  "description": "Minimum energy to erase 256 bits at 300K; equivalent to 5.62e-25 suns of continuous power"
}

HulyaPulse Timing Model

Pulse Frequency and Period

• Frequency: 1.287 Hz (approximately 1.3 pulses per second)
• Period (Zeqond): 0.777 seconds per full pulse cycle
• KO42 Modulation: Harmonic oscillation with amplitude 0.00129

Zeqond Index

The daemon tracks Zeqonds as the primary timing unit for all Zeq computation. One Zeqond equals approximately 0.777 seconds of real time.

Phase Synchronization

All nodes in the Zeq network synchronize to the same HulyaPulse phase. Phase drift is corrected via TESC attestation every Zeqond, ensuring cluster-wide timing consistency to nanosecond precision.

Error Responses

All endpoints return error responses in this format:

{
  "ok": false,
  "error": "string (error code)",
  "message": "string (human-readable description)"
}

Common error codes:

• DAEMON_OFFLINE — HulyaPulse daemon not responding
• TESC_UNAVAILABLE — TESC attestation chain not initialized
• INVALID_PARAMETER — Request parameter out of range

Rate Limiting

Daemon status endpoints are rate-limited to 1000 requests per minute per IP address. No authentication is required, but repeated abuse may result in temporary IP blocking.