Isolated Objects and Their Evolution: A Derivation of the Propagator’s Path Integral for Spinless Elementary Particles

Authors

Domenico Napoletani, Chapman UniversityFollow
Daniele Carlo Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

1-5-2022

Abstract

We formalize the notion of isolated objects (units), and we build a consistent theory to describe their evolution and interaction. We further introduce a notion of indistinguishability of distinct spacetime paths of a unit, for which the evolution of the state variables of the unit is the same, and a generalization of the equivalence principle based on indistinguishability. Under a time reversal condition on the whole set of indistinguishable paths of a unit, we show that the quantization of motion of spinless elementary particles in a general potential field can be derived in this framework, in the limiting case of weak fields and low velocities. Extrapolating this approach to include weak relativistic effects, we explore possible experimental consequences. We conclude by suggesting a primitive ontology for the theory of isolated objects.

Comments

This article was originally published in Foundations of Physics, volume 52, in 2022. https://doi.org/10.1007/s10701-021-00535-9

Recommended Citation

Napoletani, D., Struppa, D.C. Isolated Objects and Their Evolution: A Derivation of the Propagator’s Path Integral for Spinless Elementary Particles. Found Phys 52, 18 (2022). https://doi.org/10.1007/s10701-021-00535-9

Peer Reviewed

1

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The authors

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This work is licensed under a Creative Commons Attribution 4.0 License.