Note: Our manuscript is currently under review. However, if you want to quote it before its publication, please write:  

Tozzi A, Peters JF, Chafin C, De Falco D.  2016.  Time as a Gauge Field. ViXra, 1608.0434v1


Arturo Tozzi, MD, PhD, AAP

Center for Nonlinear Science, University of North Texas, Denton, Texas 76203, USA

E-mail address: tozziarturo@libero.it


Clifford Chafin

Roto9 Energy, Chapel Hill, NC, USA

E-mail address: cliff.chafin@gmail.com


Domenico De Falco, AP

Second University of Naples,  Dipartimento di Ingegneria Industriale e dell'Informazione, Aversa, Caserta, Italy

E-mail address: domenico.defalco@gmail.com


DOI: 10.13140/RG.2.1.1103.9445   October 2015 


The concepts of “constraints” and “virtual displacement” - from the far-flung branch of analytical mechanics - shed new light on the role of time and timescales in physical and biological systems.  We propose a covariant version of a gauge theory for physical and/or biological systems. The required global symmetry correspond to the real constrained trajectories, i.e. the energetic gradient flows dictated by the second law of thermodynamics.  The virtual displacements, occurring while time is held constant, stand for the local transformations acting on the system and able to “break” the symmetry.  The time stands for the gauge field able to keep the Lagrangian invariant.  Time is thus no longer one of the four phase space coordinates of a 4-D Riemannan system: time becomes just a gauge field superimposed to a 3-D system.