Constraints on Theorizing about Time

This paper investigates the phenomenon of time and articulates constraints that any robust theory must satisfy under a recovery-based criterion. Motivated by the apparent tension between static-looking fundamental descriptions, often associated with block-universe interpretations, and the dynamical character of temporal experience, the paper argues that augmenting a formalism with additional temporal structure can risk displacing rather than resolving explanatory burdens. In response, it advances a constraint on theorizing about time: a candidate time parameter counts as “real time” only insofar as it can recover, in the appropriate regime, empirically meaningful time, specifically, by providing a principled mapping to clock time. It then develops a minimal modeling strategy in three stages: 1) using hyperbolic partial differential equations together with Minkowski kinematics to encode duration, metric comparison, and causal propagation; 2) introducing a dissipative term proportional to the first time derivative to break time-reversal symmetry and yield an effective temporal orientation; and 3) representing a “moving now” via an auxiliary parameter that indexes a family of time-slices through a monotonically shifting switching time, without positing a second dynamical time variable.