Particles, fields and a canonical distance form

Abstract

We examine a notion of an elementary particle in classical physics and suggest that its existence requires non-trivial homotopy of space-time. We show that non-trivial homotopy may naturally arise for space-times in which metric relations are generated by a canonical distance form factorized by a Weyl field. Some consequences of the presence of a Weyl field are discussed.

14 pages

References in corpus (3)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• A Unified Conformal Model for Fundamental Interactions without Dynamical Higgs Field
• Geodesics and distance in classical physics