ZeqShift

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

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

What it does

Time-series R(t) projection forward 1–64 Zeqond steps. Shows phase, R_t, and delta per step.

Signature

Request

POST /api/zeq/shift

Param	Type	Required	Default	Description
steps	number		16	Zeqond steps to project (1–64). Default: 16.
domain	string		—	Domain name or prefix.
inputs	object		—	Named numeric inputs.

Response

{ protocol: 'ZeqShift', projection: [{ step, t, zeqond, phase, R_t, delta }], summary }

Runnable example

curl -sS -X POST \
  -H "Authorization: Bearer $ZEQ_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{
  "steps": 16,
  "domain": "<value>",
  "inputs": {}
}' \
  "https://api.zeq.dev/api/zeq/shift"

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