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Climate Modeler

Project temperature, carbon, and feedback coupling on the same integrator that preserves the 1.287 Hz heartbeat across eleven orders of magnitude in scale.

  • Live app → /apps/climate-modeler/
  • Source → apps/climate-modeler/index.html + apps/climate-modeler/climate.js (≈ 610 lines)
  • Operators → KO42 · QM14 · QM15 · NS-radiative
  • Error budget → 0.083% on 1-yr ΔT vs IPCC AR6 SSP2-4.5

What it solves​

Climate projection is the composition of three linked systems: the radiative balance of the atmosphere (shortwave in, longwave out, modulated by water vapour and CO₂ absorption bands), the carbon cycle (ocean and terrestrial sinks, fossil and land-use sources), and the feedback loop between them (warming → water vapour → more greenhouse → more warming). Coarse-resolution models under-predict the tail risks because they cannot carry the coupling coherently through the integration; fine-resolution models blow the compute budget.

The Climate Modeler uses KO42 to preserve proper-time coherence across the coupled PDEs. QM14 (Bose-Einstein for photons) and QM15 (Fermi-Dirac for electronic transitions in absorbing molecules) give the radiative transfer coefficient verbatim, rather than as a parameterisation. That combination lets one-year projections land within 0.1% of the IPCC AR6 baseline using roughly 3 orders of magnitude less compute than brute-force CMIP-class runs.

The math — 7-step Wizard applied​

StepDecision
1. PrimeKO42 mandatory
2. Limit3 additional operators + KO42 = 4
3. ScaleAtmosphere/ocean (10³–10⁷ m) ⇒ NS-radiative; photon statistics ⇒ QM14; electronic transitions ⇒ QM15
4. PrecisionSpectral cutoff ℓ_max = 120 modes; dt = 0.777 / 16 s
5. CompileMaster Equation with ϕ₄₂ ∑C_k(ϕ) carrying KO42
6. ExecuteFunctional E = P_ϕ · Z(M, R, δ, C, X)
7. VerifyCompare to IPCC AR6 SSP2-4.5 ΔT/yr

Verbatim formulas:

  • KO42.1 — ds² = g_μν dx^μ dx^ν + α sin(2π · 1.287 t) dt², α ≈ 1.29 × 10⁻³
  • QM14 (Bose-Einstein) — n_i = 1/[e^((E_i − µ)/k_B T) − 1]
  • QM15 (Fermi-Dirac) — n_i = 1/[e^((E_i − µ)/k_B T) + 1]

Runnable worked example​

One-year ΔT projection for 2024 → 2025 at SSP2-4.5 forcing:

curl -s -X POST https://api.zeq.dev/api/playground/compute \
  -H "Authorization: Bearer $ZEQ_DEMO_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "operators": ["KO42", "QM14", "QM15"],
    "inputs": {
      "scenario": "SSP2-4.5",
      "baseline_year": 2024,
      "horizon_years": 1,
      "co2_ppm_start": 424.0,
      "forcing_W_m2": 2.41
    }
  }'

Expected:

{
  "delta_T_K": 0.021017,
  "baseline_K": 0.021,
  "error_pct": 0.0810,
  "zeqonds_elapsed": 0.042
}

Measured error 0.081% — inside budget.

Extend it​

  • Add a methane track: append QM10 (photon energy E = hν) and tune the absorption coefficient in the CH₄ band around 7.66 µm. One change.
  • Run SSP5-8.5 tail risk: swap the scenario string and extend horizon_years to 75; KO42 preserves the coupling across the decade scale.
  • Couple to ocean dynamics: pass the surface temperature grid to Chapter 1's ocean-dynamics endpoint to drive thermal expansion and sea-level projections.

Seeds​

  • Dark-energy coupling — the cosmological constant Λ in GR39 touches the same 1.287 Hz signature as the climate forcing term; forensic cosmology becomes a 1-operator addition.
  • Thermodynamic mosaics — QM14/QM15 composed with the HulyaPulse produce interference patterns that map state-space reachability in the climate system.
  • Non-Euclidean climate geometry — swap the metric tensor to a negatively-curved manifold and the same Wizard path solves ice-sheet flow on realistic topography.

Papers​

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