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Solitons in space-time capable of transporting time-like observers at superluminal speeds have long been tied to violations of the weak, strong, and dominant energy conditions of general relativity. This trend was recently broken by a new…

General Relativity and Quantum Cosmology · Physics 2022-01-04 Erik W. Lentz

Warp drives in Einstein's general theory of relativity provide a unique mechanism for manned interstellar travel. It is well-known that the classical superluminal soliton spacetimes require negative energy densities, likely sourced by…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Shaun D. B. Fell , Lavinia Heisenberg

Stability of dark solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow…

Other Condensed Matter · Physics 2009-11-13 A. M. Kamchatnov , L. P. Pitaevskii

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…

Classical Physics · Physics 2022-03-08 Mohammad Mohammadi , Nematollah Riazi , Mohammad Hassan Dhegihani

Lorentz symmetry has been tested at low energy with great accuracy, but its extrapolation to very high-energy phenomena is much less well established. We expect a possible breaking of Lorentz symmetry to be a very high energy and very short…

General Physics · Physics 2008-02-03 Luis Gonzalez-Mestres

Light chemical elements are, for instance, produced through ion collisions taking place in the core of stars, where fusion is particularly important to the synthesis of chemical elements. Meanwhile soliton provides non-interacting…

Pattern Formation and Solitons · Physics 2015-05-06 Yoritaka Iwata

New functionalities in nonlinear optics will require systems with giant optical nonlinearity as well as compatibility with photonic circuit fabrication techniques. Here we introduce a new platform based on strong light-matter coupling…

Pattern Formation and Solitons · Physics 2014-09-03 L. Tinkler , P. M. Walker , D. V. Skryabin , A. Yulin , B. Royall , I. Farrer , D. A. Ritchie , D. N. Krizhanovskii , M. S. Skolnick

The forced soliton equation is the starting point for semiclassical computations with solitons away from the small momentum transfer regime. This paper develops necessary analytical and numerical tools for analyzing solutions to the forced…

High Energy Physics - Theory · Physics 2025-01-07 Zachary J. Allamon , Quentin A. Hales , Andrew B. Royston , Douglas L. Rutledge , Erica A. Yozie

All supersymmetric generalizations of the Standard Model allow for stable non-topological solitons of the Q-ball type which may have non-zero baryon and lepton numbers, as well as the electric charge. These solitons can be produced in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Alexander Kusenko

We introduce a new concept for stable spatial soliton formation, mediated by the competition between self-bending induced by a strongly asymmetric nonlocal nonlinearity and spatially localized gain superimposed on a wide pedestal with…

Quantum solitons are discovered with the help of generalized quantum hydrodynamics. The solitons have the character of the stable quantum objects in the self consistent electric field. The delivered theory demonstrates the great…

General Physics · Physics 2010-12-24 Boris V. Alexeev

Solitons, nonlinear particle-like excitations with inalterable properties (amplitude, shape, and velocity) as they propagate, are omnipresent in many branches of science---and in physics in particular. Flat-top solitons are a novel type of…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

Recently, a number of experimental observations on the superluminal group velocities of pulses propagating in dispersive media have led to reconsidering electromagnetism theory in an unconventional framework. To consider faster-than-light…

General Physics · Physics 2023-05-23 Luca Nanni

Soliton molecules may be formed in some possible mechanisms in both theoretical and experimental aspects. In this letter, we introduce a new possible mechanism, the velocity resonant, to form soliton molecules. Under the resonant mechanism,…

Exactly Solvable and Integrable Systems · Physics 2024-06-04 S. Y. Lou

Matter-wave bright solitons are predicted to reflect from a purely attractive potential well although they are macroscopic objects with classical particle-like properties. The non-classical reflection occurs at small velocities and a…

Other Condensed Matter · Physics 2007-05-23 Chaohong Lee , Joachim Brand

We propose superluminal solitons residing in the momentum gap (k-gap) of nonlinear photonic time-crystals. These gap solitons are structured as plane-waves in space while being periodically self-reconstructing wavepackets in time. The…

Pattern Formation and Solitons · Physics 2023-06-21 Yiming Pan , Moshe-Ishay Cohen , Mordechai Segev

Tachyons or hypothetical faster-than-light (FTL) particles would fail the principle of causality. Such particles may only be imagined when they have no energy and momentum and, thus, no observable interaction. In this paper, we show that…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Mohammad Mohammadi

An event horizon for "relativistic" fermionic quasiparticles can be constructed in a thin film of superfluid 3He-A. The quasiparticles see an effective "gravitational" field which is induced by a topological soliton of the order parameter.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. A. Jacobson , G. E. Volovik

In this work, it is shown that electrostatic solitons in a plasma with turbulent heating of the electrons through an accelerating electric field can form with very high velocities, reaching up to several order of magnitudes larger than the…

Plasma Physics · Physics 2025-09-03 Mridusmita Das , Murchana Khusroo , Madhurjya P. Bora

In this paper we analyze the physical meaning of sub- and superluminal soliton-like solutions (as the X-waves) of the relativistic wave equations and of some non-trivial solutions of the free Schr\"odinger equation for which the concepts of…

Classical Physics · Physics 2007-05-23 V. S. Barashenkov , W. A. Rodrigues
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