# TOWARDS THE UNIFICATION OF QUANTUM DYNAMICS, RELATIVITY AND LIVING ORGANISMS

Arturo Tozzi

Center for Nonlinear Science, University of North Texas

1155 Union Circle, #311427Denton, TX 76203-5017 USA

Computational Intelligence Laboratory, University of Manitoba, Winnipeg, Canada

Winnipeg R3T 5V6 Manitoba

tozziarturo@libero.it

James F. Peters

Department of Electrical and Computer Engineering, University of Manitoba

75A Chancellor’s CircleWinnipeg, MB R3T 5V6 CANADA and

Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey

James.Peters3@umanitoba.ca

John S. Torday

Department of Pediatrics, Obstetrics and Gynecology

Evolutionary Medicine Program

David Geffen School of Medicine

University of California- Los Angeles

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.

a Möbius strip.Arturo Tozzi

Center for Nonlinear Science, University of North Texas

1155 Union Circle, #311427Denton, TX 76203-5017 USA

Computational Intelligence Laboratory, University of Manitoba, Winnipeg, Canada

Winnipeg R3T 5V6 Manitoba

tozziarturo@libero.it

James F. Peters

Department of Electrical and Computer Engineering, University of Manitoba

75A Chancellor’s CircleWinnipeg, MB R3T 5V6 CANADA and

Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey

James.Peters3@umanitoba.ca

John S. Torday (Corresponding Author)

Department of Pediatrics, Obstetrics and Gynecology

Evolutionary Medicine Program

David Geffen School of Medicine

University of California- Los Angeles

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.