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Quantum Biology operators

6 operators in the quantum_biology 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
QBO10Vision quantum detection: single-photon detection probability via Poisson absorption with quantum efficiency of retinal rhodopsin.P_{photon} = 1 - \exp\left(-\sigma F \Delta t \eta_{quantum}\right)
QBO11Hearing quantum limit: minimum detectable displacement from zero-point motion with thermal noise floor for cochlear hair cells.x_{min} = \sqrt{\frac{\hbar}{2m\omega}} \cdot \sqrt{1 + \frac{k_B T}{\hbar\omega}}
QBO12Cellular quantum communication: quantum channel capacity in bits, logarithmic in signal energy per photon quanta.I_{quantum} = \log_2\left(1 + \frac{E_{signal}}{\hbar\omega} + \frac{E_{signal}^2}{(\hbar\omega)^2}\right)
QBO3Enzyme quantum tunneling: Eyring rate equation with quantum tunneling correction factor kappa(T) for proton/hydride transfer.k_{tunnel} = \frac{k_B T}{h} e^{-\Delta G^\ddagger / RT} \cdot \kappa(T), \quad \kappa(T) = 1 + \frac{E_0}{k_B T} e^{-E_{tunnel}/\hbar}
QBO5DNA quantum mutation: tautomeric shift probability from thermal activation plus quantum tunneling through the proton transfer barrier.P_{tautomer} = e^{-\Delta E/k_B T} \cdot \left[1 + \alpha \exp\left(-\frac{\sqrt{2m E_{barrier}} d}{\hbar}\right)\right]
QBO9Metabolic quantum efficiency: Rayleigh quotient of the biological Hamiltonian giving quantum-optimal energy extraction.\eta_{quantum} = \frac{\int \psi^* H \psi d\tau}{\int \psi^* \psi d\tau} = \frac{\sum_{m,n} c_m^* c_n H_{mn}}{\sum_n |c_n|^2}

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":["QBO10"],"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​