Abstract
Several arguments have been proposed some years ago, attempting to prove the impossibility of defining Lorentz-invariant elements of reality. I find that a sufficient condition for the existence of elements of reality, introduced in these proofs, seems to be used also as a necessary condition. I argue that Lorentz-invariant elements of reality can be defined but, as Vaidman pointed out, they won’t satisfy the so-called product rule. In so doing I obtain algebraic constraints on elements of reality associated with a maximal set of commuting Hermitian operators.
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Marchildon, L. On Relativistic Elements of Reality. Found Phys 38, 804–817 (2008). https://doi.org/10.1007/s10701-008-9238-9
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DOI: https://doi.org/10.1007/s10701-008-9238-9