# Zero Rest Mass Soliton Solutions

## TL;DR

This paper introduces extended Klein-Gordon systems and demonstrates the existence of a unique zero rest mass soliton solution that moves at light speed and has minimal energy, with deformations increasing energy.

## Contribution

It presents a theoretical framework showing the possibility of zero rest mass solitons in extended Klein-Gordon systems, highlighting their unique properties.

## Key findings

- Existence of zero rest mass soliton solutions.
- These solitons move at the speed of light.
- Deformations increase the soliton's energy.

## Abstract

In this paper, extended Klein-Gordon field systems will be introduced. Theoretically, it will be shown that for a special example of these systems, it is possible to have a single zero rest mass soliton solution, which is forced to move at the speed of light provided it is considered a non-deformed rigid object. This special soliton solution has the minimum energy among the other solutions, i.e. any arbitrary deformation in its internal structure leads to an increase in the total energy.