Landau writes "It is found, however, that a frame of reference can always be chosen in which space is homogeneous and isotropic and time is homogeneous."
Does he mean that we can prove the existence of an inertial frame or does he want to say that it is assumed by doing enough number of experiments?
Can we start with some axioms and definitions of properties of space and time and then deduce the existence of such a frame in which space is homogeneous and isotropic and time is homogeneous?
Answer
I believe this is just a restatement of the first Newton's law.
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