Differential Geometry operators

9 operators in the differential_geometry category of the live registry. Compose them in a contract or call POST /api/zeq/compute — KO42 is always on, plus up to three more per call.

How it computes: no dedicated closed form — solveGeneric tries ~16 universal formulas, then integrates the master equation (RK4) and returns a real, deterministic value with a transparent NUMERICAL FALLBACK disclosure.

Operator	Description	Equation
`MAN10`	Induced metric tensor on a manifold from the ambient space embedding.	`MAN₁₀ = (dignity_factor · continuity_preservation) · cos(2π·1.287·t + π/2)`
`MAN2`	Zeq manifold operator scaling by golden ratio and normalized operator count.	`MAN₀₂ = (pulse_count · phase) / (1 + \|master_sum\|) · cos(2π·1.287·t)`
`MAN3`	Zeq manifold-resonance operator: a request-weighted amplitude on an exponential φ/π envelope, modulated by the 1.287 Hz HulyaPulse.	`MAN₀₃ = (w_req · k_q) · e^(φ/π) · sin(2π·1.287·φ)`
`MAN4`	Fourth Zeq manifold operator for fiber bundle connection analysis.	`MAN₀₄ = LDO₀₁ · \|∂(master_sum)/∂t\| · cos(2π·1.287·t)`
`MAN5`	Fifth Zeq manifold operator for characteristic class computation.	`MAN₀₅ = (ZRO₀₀ + QRO₀₃ + LDO₀₁) / 3 · sin(2π·1.287·t + π/4)`
`MAN6`	Sixth Zeq manifold operator for cohomology group analysis.	`MAN₀₆ = VX · LDO₀₁ · cos(2π·1.287·φ + query_phase)`
`MAN7`	Zeq manifold-resonance operator: a collective amplitude scaled by a synchronised-cohort count, on the HulyaPulse phase.	`MAN₀₇ = Ψ_c · Σ_k n_k · sin(2π·1.287·t_sync)`
`MAN8`	Eighth Zeq manifold operator for Hodge dual computation on differential forms.	`MAN₀₈ = \|error_rate - target_rate\| · e^(-precision_factor) · cos(2π·1.287·φ)`
`MAN9`	Ninth Zeq manifold operator for Chern-Weil theory application.	`MAN₀₉ = (dark_matter_correlation · cosmic_web_resonance) · sin(2π·1.287·t_cosmic)`

Compute one — a real call

Ask the operator which inputs it needs (the honesty contract refuses empty inputs rather than inventing them):

curl -sS -X POST https://zeqsdk.com/api/zeq/operator-spec \
  -H "Content-Type: application/json" \
  -d '{"operator":"MAN10"}'

Compute one — a real call​

See also​

Compute one — a real call

See also