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Whether a mass can be considered a point or not depends on the scale at which it is studied. The earth can be considered to be a point mass when we are studying its motion around the sun but not so when we are studying its own rotation. Newton's laws are applied to systems of many particles. Newton's second law says that the rate of change of momentum of a ...


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You could also define a LT as a transformation which transforms orthonormal basis into orthonormal basis (you have to exclude translations, since they don't belong to the Lorentz group).


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Inertial reference frames must be locally flat; they must span a sufficiently small region of spacetime such that the spacetime is flat within their vicinity. This is always possible for spacetimes described by Riemannian manifolds. If spacetime wasn't locally flat in a reference frame, it could be distinguished from an inertial reference frame by tidal ...


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First of all, I think that you should formalise what a reference frame is. Some people say that it is the same thing as the coordinate system, but stated this way, it is something physically senceless. Somewhere I heard the following definition of a reference frame: A reference frame is an observer with a device that can measure the relative position of ...


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I think it is , start running with an acceleration on earth such that it opposes your acceleration due to earth's rotation , and thus in net your acceleration will get 0 ,and you'll be an inertial reference frame . However , then obviously you'll see earth to be accelerating as you are inertial reference frame now .


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I can't understand why you ask, whether we can create something which is totally mathematical and not some physical "thing". A reference frame is totally for our convenience to measure the parameters like position, time or orientation of some object relative to a co-ordinate system we've preferred. So, No - It's not possible in any known way. I suggest you ...


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I might have misunderstood your question. If you mean, is there an absolute "motionless"? The answer is No, because all motion is relative. Inertial reference frames are reference frames that are not accelerating - two inertial reference frames move at a constant velocity with respect to each other. Whilst there is no absolute motion, there is absolute ...



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