  MaxCal is a variational principle that can be used to infer distributions of
paths in the phase space of dynamical systems. It has been successfully applied
to different areas of classical physics, in particular statistical mechanics in
and out of equilibrium. In this work, guided by the analogy of the formalism of
MaxCal with that of the path integral formulation of quantum mechanics, we
explore the extension of its applications to the realm of quantum physics, and
show how the Lagrangians of both relativistic and non-relativistic quantum
fields can be built from MaxCal, with a suitable set of constraints. Related,
the details of the constraints allow us to find a new interpretation of the
concept of inertia.

Statistical Mechanics;Quantum Physics