Leggett-Garg Macro-Realism Inequalities are Violated by All Dynamical Physical Systems

The Leggett-Garg inequalities (Phys. Rev. Lett., 1985) involving multi-time correlation functions are widely considered as the touchstone for what is defined as Macro-Realism of the physical world, which constitutes two main criteria: a) a macro-real system is in one of the possible definite discrete physical states at any given time, and b) the possibility of measurements without altering a physical state. There are continuing experimental investigations supposedly testing the consequences of macro-realism, reflected in the Leggett-Garg inequalities. I prove the surprising universal result that the Leggett-Garg inequalities are violated by all dynamical physical systems that respect fundamental conservation laws, and not merely by microscopic and macroscopic quantum systems. Hence, the inequalities are guaranteed to be violated by any conceivable physical system irrespective and independent of the covering theory. The Leggett-Garg inequalities have no place in the real world where ensemble-averaged expectation values and correlation functions bridge the probabilities of microscopic quantum mechanics and the conservation constraints of the macroscopic world.