
The status of energy and the vacuum remains conceptually subtle acrossmodern physics: energy is a symmetry charge, yet global conservation isnontrivial in general relativity; quantum field theory defines the vacuumthrough renormalization in a way that makes absolute offsets ambiguous; andthe Casimir effect is often misread as direct evidence for a large gravitatingvacuum energy. This paper summarizes how these issues are treated in aPrinciple of Least Information (PLI) framework equipped with an auxiliaryinfluence sector and an optional 7D two-time (Janus) embedding. PLI is usedas a model-selection prior: among empirically adequate effective descriptions,the preferred one minimizes total description length of laws and boundaryconditions. In this setting, (i) energy is emergent as the Noether charge asso-ciated with translations along an operational time direction selected withinan otherwise rotation-invariant time-plane; (ii) reduced dynamics obtainedby tracing out the influence sector are completely positive and trace preserv-ing, yielding an explicit energy-balance identity with system–environmentexchange; and (iii) the vacuum is characterized as the lowest-informationadmissible configuration given boundary conditions, with observable effectsarising from boundary-dependent differences (Casimir/Lifshitz) rather thanabsolute offsets. We compare the resulting viewpoint with standard treat-ments in classical mechanics, GR, QFT (including curved spacetime), andsemiclassical gravity, and we summarize empirical hooks and constraints.
algorithmic information, minimum description length, energyconservation, quantum vacuum, Casimir effect, semiclassical gravity, open quantum system
algorithmic information, minimum description length, energyconservation, quantum vacuum, Casimir effect, semiclassical gravity, open quantum system
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