  Entropic Dynamics (ED) is a framework for constructing dynamical theories of
inference using the tools of inductive reasoning. A central feature of the ED
framework is the special focus placed on time. In previous work a global
entropic time was used to derive a quantum theory of relativistic scalar
fields. This theory, however, suffered from a lack of explicit or manifest
Lorentz symmetry. In this paper we explore an alternative formulation in which
the relativistic aspects of the theory are manifest.
  The approach we pursue here is inspired by the works of Dirac, Kuchar, and
Teitelboim in their development of covariant Hamiltonian methods. The key
ingredient here is the adoption of a local notion of time, which we call
entropic time. This construction allows the expression of arbitrary notion of
simultaneity, in accord with relativity. In order to ensure, however, that this
local time dynamics is compatible with the background spacetime we must impose
a set of Poisson bracket constraints; these constraints themselves result from
requiring the dynamcics to be path independent, in the sense of Teitelboim and
Kuchar.
