Geometrical model of massive spinning particle in four-dimensional Minkowski space

Abstract

We propose the model of massive spinning particle traveling in four-dimensional Minkowski space. The equations of motion of the particle follow from the fact that all the classical paths of the particle lie on a cylinder whose position in Minkowski space is determined by the particle's linear momentum and total angular momentum. All the paths on one and the same cylinder are gauge equivalent. The equations of motion are found in implicit form for general time-like paths, and they are non-Lagrangian. The explicit equations of motion are found for trajectories with small curvature and helices. The momentum and total angular momentum are expressed in terms of characteristics of the path in all the cases. The constructed model of the spinning particle has geometrical character, with no additional variables in the space of spin states being introduced.

arXiv commentSubmitted to Journal of Physics: Conference Series

References in corpus (11)

• The Confrontation between General Relativity and Experiment
• Muon g-2: Review of Theory and Experiment
• Magnetoresistance due to edge spin accumulation
• Equations of Motion of Spinning Relativistic Particle in External Fields
• Imprints of Spinning Particles on Primordial Cosmological Perturbations
• A Universal Model of D=4 Spinning Particle
• Manifestation of the Hofstadter butterfly in far-infrared absorption
• W-symmetry and the rigid particle
• Lagrangian Models of the Particles with Spin: The First Seventy Years
• The three-fold theoretical basis of the Gravity Probe B gyro precession calculation
• Extended Gauge Invariance in Geometrical Particle Models and the Geometry of W-Symmetry