TY - JOUR

T1 - A statistical mechanical model for mass stability in the SHP theory

AU - Horwitz, Lawrence P.

N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - We construct a model for a particle in the framework of the theory of Stueckelberg, Horwitz and Piron (SHP) as an ensemble of events subject to the laws of covariant classical equilibrium statistical mechanics. The canonical and grand canonical ensembles are constructed without an a priori constraint on the total mass of the system. We show that the total mass of the system, corresponding the mass of this particle is determined by a chemical potential. This model has the property that under perturbation, such as collisions in the SHP theory for which the final asymptotic mass of an elementary event is not constrained by the basic theory, the particle returns to its equilibrium mass value. A mechanism similar to the Maxwell construction for more than one equilibrium mass state may result in several possible masses in the final state.

AB - We construct a model for a particle in the framework of the theory of Stueckelberg, Horwitz and Piron (SHP) as an ensemble of events subject to the laws of covariant classical equilibrium statistical mechanics. The canonical and grand canonical ensembles are constructed without an a priori constraint on the total mass of the system. We show that the total mass of the system, corresponding the mass of this particle is determined by a chemical potential. This model has the property that under perturbation, such as collisions in the SHP theory for which the final asymptotic mass of an elementary event is not constrained by the basic theory, the particle returns to its equilibrium mass value. A mechanism similar to the Maxwell construction for more than one equilibrium mass state may result in several possible masses in the final state.

UR - http://www.scopus.com/inward/record.url?scp=85021416738&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/845/1/012026

DO - 10.1088/1742-6596/845/1/012026

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???

AN - SCOPUS:85021416738

SN - 1742-6588

VL - 845

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012026

T2 - 10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2016

Y2 - 6 June 2016 through 9 June 2016

ER -