The Dynamical Casimir Effect as a Boundary-Driven Reproducibility Transition Under Deterministic Computation Law (DCL)

The Dynamical Casimir Effect (DCE) demonstrates that rapid, non-adiabatic modulation of electromagnetic boundary conditions converts vacuum fluctuations into measurable radiation. In standard quantum field theory (QFT), this conversion is described by time-dependent mode functions and Bogoliubov transformations, yielding photon creation via parametric amplification. Here we provide a detailed derivation of the DCE in a 1+1D cavity and connect it to superconducting-circuit implementations. We then propose a Deterministic Computation Law (DCL) interpretation: “virtual” excitations correspond to non-canonical, non-reproducible field configurations under a fixed boundary basis, while “real” photons correspond to field excitations that become reproducible, measurable, and persistently enumerable following boundary-driven canonicalization. DCL does not alter energy conservation: the external modulation supplies energy, while the vacuum provides mode structure. Within this framework, we identify experimentally testable predictions distinguishing photon population from reproducible observability and outline falsifiable conditions under which the DCL interpretation would fail. We further extend the DCL framing to horizon-induced particle production and clarify why the DCE does not imply extractable free vacuum energy.