Faster-than-light solitons in 1+1 dimensions, By Mohammad Mohammadi

Research

Title	Faster-than-light solitons in 1+1 dimensions
Type	Article
Keywords	Non-topological soliton Faster than light Solitary wave solution Nonlinear Klein–Gordon equation k-field
Journal	ANNALS OF PHYSICS
DOI	j.aop.2022.168820
Researchers	Mohammad Mohammadi (First researcher) , nematollah Riazi (Second researcher) , Mohammad Hassan Dehghani (Third researcher)

Abstract

The existence of a faster-than-light particle is in direct opposition to Einstein’s relativity and the principle of causality. However, we show that the theory of classical relativistic fields is not inherently inconsistent with the existence of the faster-than-light particle-like soliton solutions in 1+1 dimensions. We introduce two extended KG models (k-fields) that lead to a zero-energy and a nonzero-energy stable particle-like solution with faster-than light speeds, respectively.