![]() ![]() Physics is mathematical not because we know so much about the physical world, but because we know so little it is only its mathematical properties that we can discover (B. ![]() And finally, we can prove that the well-known Wiles conjecture (allegedly proving FLT) is incorrect, as it is a misapplication of the " reductio to absurdum " logical proof, arbitrarily linking the elliptical cubic curves of the Taniyama-Shimura modular theorem to the quadric function of FLT. On the contrary the studies by Berry & Keating (1999) and-more recently (2017)-by Bender, Brody and Müller, trying to link the eigenvalues of the energy levels (spectra) of a specific quantum state to the nontrivial zeros of the Riemann Hypothesis, are incorrect, since the RH is a general mathematical theory of prime numbers distribution that can be proved in general through QM postulates, but it is by no means linked to specific and physical quantum states. This approach is followed also to prove that the zeros of the Riemann Hypothesis (RH) – according to QM and mathematical universe postulates – can be demonstrated as the ground states, or " zero-point " eigenvalues of a general quantum system, that are totally isomorphic to the zeros of the critical line ½ + it of the Riemann ζ (s) function, in prime numbers distribution as in Riemann's paper of 1859. In other words, since mathematics – as a formal system – according to Gödel is incomplete and cannot find within its boundaries the logical foundations of its own consistency, and also – according to Tarski – all the formal languages (as mathematics) always need a metalanguage to justify the semantical truth and consistency of their own postulates, we can show here that the physical world (= Computable Universe) as a fully coherent mathematical structure, can be taken as a metalanguage to explain and justify several well-known mathematical theorems, such as FLT, which is here proved by turning the 3 integers (by dividing all of them by c n) into the equivalent sum of two and then numbers which are yielding 1 only when raised to 2, and then into the equivalent sum of two elementary trigonometric functions (sin α) ² + (cos α) ² = 1, and finally (according to QM) into the sum of the probability amplitudes of the squared modules (ψ1) ² + (ψ2) ² = 1 of two wave functions. This study is for the first time closely linking the correct solution of FLT to both quantum mechanics (QM) and to the postulates of Mathematical Universe (MU or Computable Universe Hypothesis = CUH).
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