Question

Is there any non-trivial sense in which the spacetime symmetries in the SM gauge QFT are made local?

Answer 1

This is not in general a reasonable thing to expect to be able to do. In SR, these coordinate transformations will only work locally. The coordinates can only be extended to a distance x∼c2/a away from the observer's world-line, where a is the acceleration of the observer. At greater distances, the coordinate transformation isn't one-to-one. In GR, coordinate systems do not describe observers

Answer 2

$\\ \huge \: \: \: \: \: \: ＾－＾$



An attempt is made to develop a (speculative) picture on ``quantum symmetry" which links space-time symmetries in an inexorable way with internalsymmetries.