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.
Therefore the coherent- state variables cannot directly be interpreted as mean values of number variables in the nominal distribution or mean weights in its dual likelihood ratio
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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.