Master Equation Builder

Master-equation solvers. ODE, lattice, shift, verify.

• Protocol ID — zeq-master-equation
• Category — Compute
• Endpoint — POST /api/zeq/master-equation
• Auth — api-key
• Rate limit — 60/min
• Version — 1.0
• Precision — ≤0.1% (KO42-enforced)

What it does

Builds the synthesized HULYAS master equation for a given domain and operator set without executing the solver. Returns the full equation string and term breakdown.

Signature

Request

POST /api/zeq/master-equation

Param	Type	Required	Default	Description
domain	string		—	Domain name.
operators	array		—	Operator IDs.
inputs	object		—	Named inputs for variable substitution.

Response

{ masterEquation, operators, domain, terms, ko42Applied }

Runnable example

curl -sS -X POST \
  -H "Authorization: Bearer $ZEQ_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{
  "domain": "<value>",
  "operators": [],
  "inputs": {}
}' \
  "https://api.zeq.dev/api/zeq/master-equation"

Integrate

1. Master-equation solve — compose with KO42 always + up to three more operators per the 7-Step Wizard Protocol.
2. Batch mode — fan out one call per phase tick, aggregate on the Zeqond boundary.
3. Verify-on-write — pair with ZeqProof Verify to stamp results with error_pct ≤ 0.1%.

Seeds

• Near — wrap /api/zeq/master-equation in a language SDK so builders can call it in three lines.
• Medium — publish a reference integration demonstrating Master Equation Builder alongside a real workload, with pulse-aligned metrics.
• Far — propose Master Equation Builder as an open reference standard so other runtimes can implement it verbatim against the Zeq paper.

Papers

• Zeq paper — https://doi.org/10.5281/zenodo.18158152
• Framework paper — https://doi.org/10.5281/zenodo.15825138

Middleware active. Kernel on the 1.287 Hz HulyaPulse. Awaiting next Zeqond.