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 (46)

• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• Kinetically Driven Quintessence
• Can the clustered dark matter and the smooth dark energy arise from the same scalar field ?
• Kink-antikink collisions in the phi^6 model
• Faster-than-c signals, special relativity, and causality
• Global topological k-defects
• Generalized Global Defect Solutions
• Haloes of k-Essence
• Vortices and Other Topological Solitons in Dense Quark Matter
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink-kink and kink-antikink interactions with long-range tails
• k-defects as compactons
• Dynamics of Nontopological Solitons - Q Balls
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Forces between Kinks and Antikinks with Long-range Tails
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Resonant kink-antikink scattering through quasinormal modes
• Some stationary properties of a $Q$-ball in arbitrary space dimensions
• Large Gauged Q Balls
• Multi-kink scattering in the double sine-Gordon model
• Q-balls, Integrability and Duality
• Inverse variational problem for non-standard Lagrangians
• Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms
• Analytical study of kinklike structures with polynomial tails
• Exact solutions, energy and charge of stable Q-balls
• Problem with classical stability of U(1) gauged Q-balls
• Compact Q-balls
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Perturbations against a Q-ball: Charge, energy, and additivity property
• Split Q-Balls
• Vibrational modes of Q-balls
• The interaction energy of well-separated Skyrme solitons
• The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System
• Charge Screened Nontopological Solitons in a Spontaneously Broken U(1) Gauge Theory
• Perturbation Analysis of Deformed Q-Balls and Primordial Magnetic Field
• Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• Small deformations of kinks and walls
• An Energetically Stable Q-ball solution in 3+1 Dimensions
• Magnetic monopoles in pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass
• Interacting kinks and meson mixing
• The role of the massless phantom term in the stability of a non-topological soliton solution
• Stability Catalyzer for a Relativistic Non-Topological Soliton Solution

Cited by in corpus (1)

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