Is Newton’s laws of motion an arbitary choice ?

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Are Newton’s laws an arbitary choice among many, which holds good in certain frames which we call "Inertial frames of reference". In that way, one can construct any set of laws for any set of frames. Are laws of motion just dependent on what coordinates we choose. Do we not have frame independent laws of motion ?
 
In Newtonian physics, Newton's laws, if we include "fictitious forces" in them, are valid in all frames, inertial or not.

In relativity, Newton's laws aren't the correct laws anyway. The correct laws in relativity are valid in all frames, inertial or not.
 
PeterDonis said:
In Newtonian physics, Newton's laws, if we include "fictitious forces" in them, are valid in all frames, inertial or not.

In relativity, Newton's laws aren't the correct laws anyway. The correct laws in relativity are valid in all frames, inertial or not.
Sir, my question was basically, can we have such laws of physics which hold good in all reference frames without introducing extra terms. If yes, what are those laws ?
 
Sushmit Nandy said:
Sir, my question was basically, can we have such laws of physics which hold good in all reference frames without introducing extra terms.
I don't know what you mean by "extra terms". The laws are what they are. I have already stated in post #2 that yes, the correct laws are valid in all frames.
 
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