The quantum totalitarian property and exact symmetries

We point out that symmetries mandating the conservation of additive quantities, e.g., those induced by energy and momentum laws, hold in quantum physics not just “on average,” as is sometimes claimed, but exactly each branch a state, expressed basis where conserved observable sharp. note for laws to systems this sense (not on average), it necessary assume so-called totalitarian property theory, namely, any system capable coupling must itself be quantized, including measuring apparatus. Hence, if are idea “classical apparatus” (i.e., subject branching structure) untenable. also other principle having well-defined formulation within classical physics, such Equivalence Principle, extended domain same way, i.e., branch.