Preprint Article Version 1 This version is not peer-reviewed

Towards the Unification of Quantum Dynamics, Relativity and Living Organisms

Version 1 : Received: 28 September 2018 / Approved: 28 September 2018 / Online: 28 September 2018 (13:32:05 CEST)

How to cite: Tozzi, A.; Peters, J.F..; Torday , J.S.. Towards the Unification of Quantum Dynamics, Relativity and Living Organisms. Preprints 2018, 2018090570 (doi: 10.20944/preprints201809.0570.v1). Tozzi, A.; Peters, J.F..; Torday , J.S.. Towards the Unification of Quantum Dynamics, Relativity and Living Organisms. Preprints 2018, 2018090570 (doi: 10.20944/preprints201809.0570.v1).

Abstract

The unexploited unification of quantum physics, general relativity and biology is a keystone that paves the way towards a better understanding of the whole of Nature.  Here we propose a mathematical approach that introduces the problem in terms of group theory.  We build a cyclic groupoid (a nonempty set with a binary operation defined on it) that encompasses the three frameworks as subsets, representing two of their most dissimilar experimental results, i.e., 1) the commutativity detectable both in our macroscopic relativistic world and in biology; 2) and the noncommutativity detectable both in the microscopic quantum world and in biology.  This approach leads to a mathematical framework useful in the investigation of the three apparently irreconcilable realms.  Also, we show how cyclic groupoids encompassing quantum mechanics, relativity theory and biology might be equipped with dynamics that can be described by paths on the twisted cylinder of a Möbius strip.   

Subject Areas

Einstein; manifold; Hilbert space; Abelian; living cell; Borsuk-Ulam theorem; topology

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