Conserved current in Doi-Peliti 2FFI equals Fisher information; new dual Riemannian connections respect symplectic transport along stationary rays with dual flatness in coherent-state coordinates.
Introduce two vector fields corresponding to variations in θ at the final time T , and to variations in η at the initial time 0
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The information geometry of 2-field functional integrals
Conserved current in Doi-Peliti 2FFI equals Fisher information; new dual Riemannian connections respect symplectic transport along stationary rays with dual flatness in coherent-state coordinates.