Faster-Than-Light Solitons in 1 + 1 Dimensions

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.

References in corpus (15)

• Global topological k-defects
• Generalized Global Defect Solutions
• k-defects as compactons
• Some stationary properties of a $Q$-ball in arbitrary space dimensions
• Q-balls, Integrability and Duality
• Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms
• Problem with classical stability of U(1) gauged Q-balls
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Split Q-Balls
• The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System
• Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• An Energetically Stable Q-ball solution in 3+1 Dimensions
• Interacting kinks and meson mixing
• The role of the massless phantom term in the stability of a non-topological soliton solution

Cited by in corpus (1)

• The Possibility of Tachyons as Soliton Solutions in 3+1 Dimensions via k-field Models