The local validity of special relativity from a scale-relative perspective
arxiv(2023)
摘要
Most contemporary physicists hold that the local validity of special
relativity (SR) within general relativity (GR) is expressed by means of an
interdependent cluster of mathematical concepts, one of which is the existence
of normal coordinate systems. Nonetheless, there remains conceptual work to be
done with regard to this `standard story' on the local validity of SR in (a)
clarifying how a network of mathematical concepts is recruited in a particular
modelling context in order to account for the local validity of SR within GR,
and (b) highlighting the richness and subtlety of this mode of modelling, as
well as the way in which it interacts with the concept of `approximate Killing
symmetry'. With this paper, we carry out this work, thereby also defending the
standard story from concerns recently voiced in the philosophy of physics
literature.
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