论文标题
量子力学的马赫里亚重新印度
A Machian reformulation of Quantum Mechanics
论文作者
论文摘要
众所周知但也有些深奥的马赫原理设想了物理理论的完全关系表述，而无需提及“绝对空间”的概念。当以扩展的对称群的幌子应用于经典力学时，已知该过程将导致运动方程，并具有惯性力的力，这些力是由系统本身的质量分布来源的。在本文中，我们遵循类似的程序，并以完全手基的方式重新制定了非相关量子力学的Schrödinger方程。就像其经典的对应物一样，所产生的量子理论在包含给定物理系统的身体的位置和动力上完全相关，没有留下空间的绝对空间概念。
The widely known but also somewhat esoteric Mach principle envisages a fully relational formulation of physical theories without any reference to a concept of `absolute space'. When applied to classical mechanics, under the guise of an extended symmetry group, this procedure is known to lead to an equation of motion with inertial-like forces that are sourced by the mass distribution of the system itself. In this paper we follow a similar procedure and reformulate the Schrödinger equation of non-relativistic quantum mechanics in a fully Machian way. Just like its classical counterpart, the resulting quantum theory is fully relational in the positions and momenta of the bodies comprising a given physical system, leaving no room for the notion of absolute space.
