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Relativity without miracles
European Journal for Philosophy of Science ( IF 1.5 ) Pub Date : 2020-10-12 , DOI: 10.1007/s13194-020-00311-y
Adán Sus

It has been claimed, recently, that the fact that all the non-gravitational fields are locally Poincaré invariant and that these invariances coincide, in a certain regime, with the symmetries of the spacetime metric is miraculous in general relativity (GR). In this paper I show that, in the context of GR, it is possible to account for these so-called miracles of relativity. The way to do so involves integrating the realisation that the gravitational field equations (the Einstein field equation in GR) impose constraints on the behaviour of matter in a novel interpretation of the equivalence principle, which dictates the determination of local inertial frames through gravitational interaction. This proposed explanation of the miracles can also deal with the problematic cases for attempts at explaining them in the context of the standard geometrical perspective on relativity theory.

中文翻译:

相对论没有奇迹

最近,有人宣称,所有非重力场都是局部庞加莱不变的,并且这些不变在一定范围内与时空度量的对称性吻合,这在广义相对论中是不可思议的。在本文中,我表明,在GR的背景下,可以解释这些所谓的相对论奇迹。做到这一点的方法包括整合对重力场方程(GR中的爱因斯坦场方程)的约束,这种约束是通过对等效原理的新颖解释来对物质的行为施加约束的,该原理通过重力相互作用来确定局部惯性系。
更新日期:2020-10-12
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