Covariant Dynamics of the FCLET Latency Field Hyperbolic Evolution, Retarded Load Response, and Stress–Energy Exchange

This article establishes the complete covariant dynamics of the FCLET latency field. Building on the finite-capacity microphysics constructed in Article 106, the microscopic latency mode is promoted to a dimensionless scalar field on a globally hyperbolic Lorentzian spacetime . The field is sourced by the nonnegative logarithmic capacity load , propagates through a normally hyperbolic differential operator, and modifies the local rate of operational change through . The theory is generated by a covariant action containing a positive kinetic sector, a stable latency potential, and a load–latency interaction. Its canonical quadratic realization yields The sign convention is fixed by the nonnegative source magnitude and the signed field source The resulting evolution has a well-posed Cauchy formulation, a unique retarded solution, finite-speed propagation, positive free-field energy, and an exact stress–energy exchange identity. Changes in capacity load influence latency only through the causal past of the receiving event. The operational-time functional along every future-directed timelike worldline is positive, reparameterization-invariant, and strictly monotonic. The article derives the homogeneous response, static screened response, impulse response, spectral transfer function, nonlinear convex extension, characteristic structure, energy balance, and covariant operational-time accumulation law. Together these results establish latency as a genuine dynamical field rather than an algebraic correction factor. FCLET thereby acquires a complete causal mechanism connecting finite information capacity to locally realized physical progression.