二维时空连续体中相对论量的洛伦兹变换的理论研究。

Q2 Environmental Science

The Scientific World Journal Pub Date : 2025-05-15 eCollection Date: 2025-01-01 DOI:10.1155/tswj/7149569

Chandra Bahadur Khadka, Bhishma Karki

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引用次数: 0

摘要

在本研究中，我们对二维时空连续体中运动的惯性参照系之间的洛伦兹变换进行了理论研究。时空间隔方程的不变性，利用所导出的二维变换，产生了由两个空间和两个时间坐标组成的2 + 2维时空连续体的概念。然后在2 + 2维时空框架中研究了速度相加公式、能量和动量的洛伦兹变换。此外，我们研究了2 + 2维的四向量概念，并进一步讨论了基于矩阵方程的四向量变换，这完全符合洛伦兹不变能量-动量关系。

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Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two-Dimensional Spacetime Continuum.

In the current study, we conducted a theoretical study to derive the Lorentz transformation between inertial frames of reference moving in two-dimensional spacetime continuum. The invariance of the space-time interval equation, with use of the derived two-dimensional transformations, yields the notion of 2 + 2-dimensional spacetime continuum which consists of two space and two time coordinates. The velocity addition formulas, Lorentz transformations of energy and momentum are then investigated in 2 + 2-dimensional spacetime frame. Additionally, we investigated the concept of four-vector in 2 + 2 dimensions and further discussed their transformation based on the matrix equation, which is fully consistent with the Lorentz invariant energy-momentum relation.

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来源期刊

The Scientific World Journal 综合性期刊-综合性期刊

CiteScore

5.60

自引率

0.00%

发文量

170

审稿时长

3.7 months

期刊介绍： The Scientific World Journal is a peer-reviewed, Open Access journal that publishes original research, reviews, and clinical studies covering a wide range of subjects in science, technology, and medicine. The journal is divided into 81 subject areas.