A statistical mechanical model for mass stability in the SHP theory

10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Horwitz, Lawrence P.^1,2,3

School of Physics, Tel Aviv University Ramat Aviv, Israel^1

Department of Physics, Bar Han University, Ramat Gan, Israel^2

Department of Physics, Ariel University, Ariel, Israel^3

关键词: A-particles;    Basic theory;    Equilibrium statistical mechanics;    Final state;    Grand canonical ensemble;    Maxwell construction;    Mechanical model;    Total mass;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/845/1/012026/pdf
DOI  :  10.1088/1742-6596/845/1/012026

来源: IOP

【 摘 要 】

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.