On the derivation of the equation of motion in a scalar model

TL;DR

This paper introduces a novel method for deriving equations of motion from field equations, addressing the challenge of embedding singularities within the field.

Contribution

It presents a new approach to derive equations of motion and discusses the embedding of singularities in scalar field models.

Findings

Proposes a new derivation method for equations of motion.

Addresses the embedding of singularities in scalar fields.

Provides insights into the mathematical structure of scalar models.

Abstract

A new method for derivation of the equation of motion from the field equation is proposed. The problem of embedding the singularities in a field satisfying the field equations is discussed.