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Climate Science operators

5 operators in the climate_science 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
CLIM_CLAUSIUS_CLAPEYRONClausius-Clapeyron relation describing the exponential increase of saturation vapor pressure with temperature.\frac{de_s}{dT} = \frac{L_v e_s}{R_v T^2}
CLIM_ENERGY_BALANCEZero-dimensional energy balance model for global mean surface temperature under radiative equilibrium.C \frac{dT}{dt} = \frac{S_0}{4}(1-\alpha) - \epsilon \sigma T^4
CLIM_LAPSE_RATEDry adiabatic lapse rate giving the temperature decrease with altitude for unsaturated air parcels.\Gamma_d = -\frac{dT}{dz} = \frac{g}{c_p} \approx 9.8 \; \text{K/km}
CLIM_RADIATIVE_FORCINGRadiative forcing equation relating CO2 concentration change to the net energy flux perturbation at the tropopause.\Delta F = 5.35 \cdot \ln\left(\frac{C}{C_0}\right) \quad [\text{W/m}^2]
CLIM_STEFAN_BOLTZMANNStefan-Boltzmann law for planetary equilibrium temperature assuming blackbody radiation balance.T_{eq} = \left(\frac{S_0 (1-\alpha)}{4 \sigma}\right)^{1/4}

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":["CLIM_CLAUSIUS_CLAPEYRON"],"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​