用量子代数综述量子力学和相对论的结构统一
Overview of the structural unification of quantum mechanics and relativity using the algebra of quantions
摘要:
这篇文章的目的是为普通物理学的读者介绍埃米尔·格尔金的最新成果,他将量子力学和相对论统一到同一个数学结构中。这种结构就是量子代数,一种不可分割的代数,它是弯曲时空上的电弱理论的自然框架。与四元数类似,量子保留了结合性和复共轭的核心特征,同时放弃了不必要的历史偏见的除法属性。缺乏分裂使得结构上与相对论的统一成为可能(由于光锥矢量为零,人们无法将线性闵可夫斯基空间升级为分裂代数),并且需要根据概率流对玻恩对波函数的标准解释进行调整。本文是对量子理论的一个概述,然后进行讨论。
英文摘要:
The purpose of this contribution is to provide an introduction for a general physics audience to the recent results of Emile Grgin that unifies quantum mechanics and relativity into the same mathematical structure. This structure is the algebra of quantions, a non-division algebra that is the natural framework for electroweak theory on curved space-time. Similar with quaternions, quantions preserve the core features of associativity and complex conjugation while giving up the unnecessarily historically biased property of division. Lack of division makes possible structural unification with relativity (one cannot upgrade the linear Minkowski space to a division algebra due to null light-cone vectors) and demands an adjustment from Born's standard interpretation of the wave function in terms of probability currents. This paper is an overview to the theory of quantions, followed by discussions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。