What if quantum theory violates all mathematics?

Abstract

It is shown by using a rather elementary argument in Mathematical Logic that if indeed, quantum theory does violate the famous Bell Inequalities, then quantum theory must inevitably also violate all valid mathematical statements, and in particular, such basic algebraic relations like 0 = 0, 1 = 1, 2 = 2, 3 = 3, . . . and so on ... An interest in that result is due to the following three alternatives which it imposes upon both Physics and Mathematics : 1) Quantum Theory is inconsistent. 2) Quantum Theory together with Mathematics are inconsistent. 3) Mathematics is inconsistent. In this regard one should recall that, up until now, it is not known whether Mathematics is indeed consistent.