Quantum mechanics from invariance principles

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Moldoveanu, Florin^1

Logic and Philosophy of Science Research Group, University of Maryland, College Park

MD

20742, United States^1

关键词: Axiomatization;    Bell's inequality;    Invariance principle;    Laws of nature;    Physical state;    Special Theory of Relativity;    Time evolutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012067/pdf
DOI  :  10.1088/1742-6596/626/1/012067

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Quantum mechanics is an extremely successful theory of nature and yet it lacks an intuitive axiomatization. In contrast, the special theory of relativity is well understood and is rooted into natural or experimentally justified postulates. Here we introduce an axiomatization approach to quantum mechanics which is very similar to special theory of relativity derivation. The core idea is that a composed system obeys the same laws of nature as its components. This leads to a Jordan-Lie algebraic formulation of quantum mechanics. The starting assumptions are minimal: the laws of nature are invariant under time evolution, the laws of nature are invariant under tensor composition, the laws of nature are relational, together with the ability to define a physical state (positivity). Quantum mechanics is singled out by a fifth experimentally justified postulate: nature violates Bell's inequalities.