Time as a Geometric Concept Involving Angular Relations in Classical Mechanics and Quantum Mechanics

被引:0
作者
Juan Eduardo Reluz Machicote
机构
[1] Institute for Knowledge of Nature,
来源
Foundations of Physics | 2010年 / 40卷
关键词
Time as a quaternion; Mechanics in the four-dimensional time; Lagrangian with the four-dimensional time; Field in the four-dimensional time; Special relativity in the four-dimensional time; Time in quantum mechanics;
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学科分类号
摘要
The goal of this paper is to introduce the notion of a four-dimensional time in classical mechanics and in quantum mechanics as a natural concept related with the angular momentum. The four-dimensional time is a consequence of the geometrical relation in the particle in a given plane defined by the angular momentum. A quaternion is the mathematical entity that gives the correct direction to the four-dimensional time.
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页码:1744 / 1778
页数:34
相关论文
共 3 条
[1]  
Fueter R.(1937)Die Singularitäten der eindeutigen regulären Funktionen einer Quaternionen-variablen Comment. Math. Helv. 9 320-335
[2]  
Sudbery A.(1979)Quaternionic analysis Math. Proc. Camb. Philos. Soc. 85 199-225
[3]  
Deavours C.A.(1973)The quaternion calculus Am. Math. Mon. 80 995-1008