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.