HULYAS ODE Solver

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

• Protocol ID — zeq-solve
• Category — Compute
• Endpoint — POST /api/framework/solve
• Auth — none
• Rate limit — 20/min
• Version — 1.0
• Precision — ≤0.1% (KO42-enforced)

What it does

Numerically integrates the full HULYAS master equation using RK4. Parses prompt for object/location/medium, applies operator weights.

Signature

Request

POST /api/framework/solve

Param	Type	Required	Default	Description
prompt	string	✓	—	Natural language experiment (e.g. 'Drop a feather on Mars in vacuum').
alpha	number		1	KO42.1 auto modulation. Default: 1.0
beta	number		0	KO42.2 manual modulation. Default: 0.0
koSettings	object		—	Operator ID → weight map.
tMax	number		5	Simulation duration (0.1–30s). Default: 5.0
dt	number		0.01	Time step (0.001–0.1s). Default: 0.01

Response

{ ckoId, errorPct, energy, tEval, solution, koSettings, mode, object, location, mass, masterEquationTerms }

Runnable example

curl -sS -X POST \
  -H "Content-Type: application/json" \
  -d '{
  "prompt": "<value>",
  "alpha": 1,
  "beta": 0,
  "koSettings": {},
  "tMax": 5,
  "dt": 0.01
}' \
  "https://api.zeq.dev/api/framework/solve"

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/framework/solve in a language SDK so builders can call it in three lines.
• Medium — publish a reference integration demonstrating HULYAS ODE Solver alongside a real workload, with pulse-aligned metrics.
• Far — propose HULYAS ODE Solver 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.