Energy and the vacuum as information-selection quantities in a PLI-based two-time framework with an optional 7D Janus embedding

This paper formalizes a conservative relation between energy and information-based modelselection in a framework guided by a Principle of Least Information (PLI), understoodas a minimum-description-length prior over admissible histories. The central claim isnot a direct scalar equivalence between energy and information, but that the operationalgenerator of time translations can acquire a contribution proportional to the rate atwhich irreducible description length must be maintained along the chosen operational timedirection. We introduce a dimensionless action-plus-complexity functional, Ξ[h] = S[h]/ℏ +λC, where C is a unitless complexity functional (either a generative MDL complexity ora constraint-dependent mode-count complexity), and derive an effective relation Eeff =E + ℏλ dC/dt, with E = dS/dt the standard Noether energy. We then interpret thevacuum as the minimal-description admissible configuration consistent with symmetryand constraint data, and show how vacuum sensitivities of the Casimir/Lifshitz type arenaturally expressed as gradients of admissible mode libraries. Finally, we connect theformalism to near-critical macroscopic quantum platforms (superconductors, superfluids,latching quantum readout) where small constraint or measurement perturbations cantrigger rapid transitions from low-dimensional coherent dynamics to high-dimensionaldissipative dynamics, enabling high-gain switching and amplification without violatingconservation laws.