The field-to-particle transition problem

TL;DR

This paper explores how certain classical gravitational configurations can exhibit particle-like properties, using concepts from the holographic principle and nonlinear sigma models to understand the field-to-particle transition.

Contribution

It introduces a conceptual framework combining holography and nonlinear sigma models to analyze how classical fields can manifest as particles.

Findings

Classical vacuum gravitational configurations can have discrete physical parameters.

Such configurations can behave as particles under rotations.

The approach offers insights into the field-to-particle transition problem.

Abstract

We formulate in an intuitive manner several conceptual aspects of the field-to-particle transition problem which intends to extract physical properties of elementary particles from specific field configurations. We discuss the possibility of using the conceptual basis of the holographic principle and the mathematical fundaments of nonlinear sigma models for the field-to-particle transition. It is shown that certain classical gravitational configurations in vacuum may contain physical parameters with discrete values, and that they behave under rotations as particle-like objects.