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I'd like to get some feedback on the following argument.
Gallilean mechanics, with the Gallilean transformation laws, is a perfectly consistent theory.
Special relativity, with the Lorentz transformation laws, is another perfectly consistent theory.
The question is - can we have some physical quantities that consistently transform according to the Gallilean transform, mixed together with other physical quantites that transform according to the Lorentz transform? My thoughts are that it is logically possible to imagine, as both systems are self consistent. However, such a hybrid approach would not satisfy the principle of relativity, because with two sets of physical quantites transforming differently, there would be a way to detect absolute motion.
It seems simple enough, but it's not something I've seen discussed, and I am wondering if there is some hidden issue with the logic.
Gallilean mechanics, with the Gallilean transformation laws, is a perfectly consistent theory.
Special relativity, with the Lorentz transformation laws, is another perfectly consistent theory.
The question is - can we have some physical quantities that consistently transform according to the Gallilean transform, mixed together with other physical quantites that transform according to the Lorentz transform? My thoughts are that it is logically possible to imagine, as both systems are self consistent. However, such a hybrid approach would not satisfy the principle of relativity, because with two sets of physical quantites transforming differently, there would be a way to detect absolute motion.
It seems simple enough, but it's not something I've seen discussed, and I am wondering if there is some hidden issue with the logic.