Gravity and the complexity of coordinates in fisher information

The principle of extreme physical information is a tool for deriving various equations of physics. Physical information is defined to be the difference between the Fisher information and the bound information specific to every physical system. Using the extreme physical information, equations are obtained for the probability of finding the location of a physical entity (a system of particles or a field) in spacetime. Those equations turn out to be the relevant physical equations (Dirac's, Maxwell's equations etc.). A peculiarity of the method is that this only works if some of the coordinates that specify the whereabout of the physical entity in spacetime are chosen to be imaginary. I will argue that this peculiarity is a direct effect of gravity.