## God Does Not Play Dice: Matter-Wave Duality, Quantum Phase Transition and Bose-Einstein Condensate as Deterministic and Local Phenomena

**Authors:** Ramzi Suleiman

The non-locality of quantum mechanics continues to be an unexplainable phenomenon. In a previous paper [1] I utilized a recently proposed relativity theory, termed Information Relativity (IR) to account, both qualitatively and quantitatively for the entanglement in an EPR type experiment. IR rests on two well accepted propositions: The relativity axiom, plus an axiom specifying the information carrier and its velocity. The theory is deterministic and local. It is also complete, in the sense that each element in the theory is in a one-to-one correspondence with reality. Contrary to special relativity which predicts that an object's length will always contract along the direction of its relative motion with respect to an observer, IR predicts length contraction for approaching bodies and length stretching for departing bodies. In the present paper I demonstrate that IR is also successful in explaining and predicting de Broglie's matter-wave duality, quantum phase transition, quantum criticality, and the formation of the Bose-Einstein condensate. Quite strikingly, I found that the critical "stretch" associated with a particle's wave phase transition is equal to the critical value of de Broglie wave length ζ(3/2) ≈ 2.612, where ζ(x) is the Riemann zeta function. This result enables to calculate the Planck's constant, the corner stone of all quantum mechanics, based on a completely deterministic and local theory. The unavoidable conclusion of the present analysis is that Einstein's intuition that "God does not play dice" is correct.

**Comments:** 9 Pages.

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### Submission history

[v1] 2015-06-10 00:20:19

[v2] 2015-06-10 07:35:43

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