A dissipative time-field completion of Wheeler–DeWitt dynamics: chronogenesis and a conserved cosmological response

The Wheeler–DeWitt constraint removes physical time as an external evolution parameter, while ordinary quantum dynamics presupposes such a parameter from the outset. This paper formulates the Weak Entanglement Symmetry Hypothesis (WESH) as a principled dissipative completion addressing this frozen-time problem. Physical time is promoted to a local quantum field, and the observed temporal parameter is generated statistically by discrete, objective Poisson-driven events, termed eigentimes, rather than imposed externally. To formulate chronogenesis without presupposing time, we adopt a self-consistent bootstrap: the state’s probability law determines the event rates and is itself regenerated by those events. We construct this dynamics at finite resolution within the physical constraint sector, preserving positivity, trace and global charges, and show how a stationary statistical state can sustain events and continuing time production. We then ask whether the same events can have observable gravitational consequences. An effective matching connects their compensated fluctuations to a conserved scalar response whose homogeneous evolution reproduces the trace-equation implementation of Everpresent Λ. Past-light-cone averaging yields the radiation-era covariance and, in the Gaussian limit, an inherited radiation component independent of subsequent forcing. A single-history test using compressed primordial helium–deuterium constraints gives a nominal 95% upper confidence endpoint σ ≃ 1.1 × 10⁻⁴ for fifty e-folds of ideal radiation before nucleosynthesis. We thus arrive at a link between the production of time and cosmological fluctuations.