Affiliation:
1. School of Aerospace Engineering, Xiamen University, Xiamen, P. R. China
2. College of Physical Science and Technology, Xiamen University, Xiamen, P. R. China
Abstract
The paper aims to apply the complex-sedenions to explore the field equations of four fundamental interactions, which are relevant to the classical mechanics and quantum mechanics, in the curved spaces. Maxwell was the first to utilize the quaternions to describe the property of electromagnetic fields. Nowadays, the scholars introduce the complex-octonions to depict the electromagnetic and gravitational fields. And the complex-sedenions can be applied to study the field equations of the four interactions in the classical mechanics and quantum mechanics. Further, it is able to extend the field equations from the flat space into the curved space described with the complex-sedenions, by means of the tangent-frames and tensors. The research states that a few physical quantities will make a contribution to certain spatial parameters of the curved spaces. These spatial parameters may exert an influence on some operators (such as, divergence, gradient, and curl), impacting the field equations in the curved spaces, especially, the field equations of the four quantum-fields in the quantum mechanics. Apparently, the paper and General Relativity both confirm and succeed to the Cartesian academic thought of ‘the space is the extension of substance’.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Cited by
6 articles.
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2. Scalar fields described by Dirac quaternion wave equation;International Journal of Geometric Methods in Modern Physics;2023-08-11
3. On the Quaternion Transformation and Field Equations in Curved Space-Time;Proceedings of the National Academy of Sciences, India Section A: Physical Sciences;2022-08-01
4. Octonic Maxwell-type multifluid plasma equations;The European Physical Journal Plus;2021-03
5. Sedenionic formulation for the field equations of multifluid plasma;International Journal of Geometric Methods in Modern Physics;2020-12-26