2019/12/31 by Mohammad Mohammadi, M. Mohammadi, Nematollah Riazi +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Causality (physics) #Cosmology and Gravitation Theories #Einstein #Mathematical physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Soliton #Theoretical physics #hep-ph #physics.class-ph
paper · pdf · doi:10.1016/j.aop.2022.168820
openalex publication_date 2022/03/02 · arxiv created 2022/03/05 · openalex created_date 2022/03/05 · arxiv updated 2022/03/08 · openalex updated_date 2026/06/19
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.