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Temporal operators

5 operators in the temporal category of the live registry. Each is a named formula you can compose inside a state contract or call directly through POST /api/zeq/compute. KO42 is always on; add up to three more per call (total ≤ 4), per the 7-step protocol.

OperatorDescriptionEquation
CHI0Temporal susceptibility operator 0: magnetization-to-field ratio (M/H) for time-domain magnetic response at t=0.∂²χ/∂t² + (2π·1.287)²χ
TNO1Temporal node operator 1: cumulative time integral of the first temporal mode function f(t).S = \frac{cA^z}{1 + dA^z}, \quad z \approx 0.25 \text{ for tropical forests}
TNO6Temporal node operator 6: cumulative time integral of the sixth temporal mode function f(t).C_{effective} = \sum_{i=1}^n w_i \cdot \exp\left[-\frac{d_i}{\lambda_i}\right] \cdot A_i
TNO8Temporal node operator 8: cumulative time integral of the eighth temporal mode function f(t).V_{total} = \sum_i A_i \cdot \sum_j v_{ij} \cdot Q_{ij} \cdot (1 - D_{ij})
ZTB1Zeq timebase bridge: converts between Unix time and Zeq time (Zeqonds) using kappa_conv=0.777 scaling with phi phase offset.t_{target} = t_{source} × κ_{conv} + φ_{offset}, where κ_{conv} = 0.777 (Unix→Zeq) or 1/0.777 (Zeq→Unix)

Compute with one of these

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
-H "Authorization: Bearer $ZEQ_KEY" \
-H "Content-Type: application/json" \
-d '{"operators":["CHI0"],"inputs":{}}'

The response carries the bare physics value, its unit and uncertainty, the generated master equation, and a signed envelope you can verify on any node.

See also