The possibility of tachyons as soliton solutions in 3+1 dimensions via k-field models

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2024-03-27 DOI:10.1016/j.aop.2024.169645

M. Mohammadi

引用次数: 0

Abstract

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 the classical relativistic field theory with non-standard Lagrangian densities ( $k$ -field models) does not rule out the existence of FTL particle-like solutions (solitons) with zero energy and momentum in $3 + 1$ dimensions. However, contrary to our expectation, we show that it is possible to have $k$ -field models that lead to energetic FTL soliton solutions in $3 + 1$ dimensions.

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通过 k 场模型，3+1 维中的超速子作为孤子解的可能性

超光速粒子或假想的超光速（FTL）粒子将不符合因果关系原理。只有当它们没有能量和动量，因而也就没有可观测的相互作用时，才能想象出这种粒子。在本文中，我们证明了具有非标准拉格朗日密度的经典相对论场论（k 场模型）并不排除在 3+1 维中存在能量和动量为零的类似超光速粒子的解决方案（孤子）。然而，与我们的预期相反，我们证明了在3+1维中有可能存在导致高能超光速孤子解的k场模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.