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-1 votes
1 answer
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Invariance of Acceleration vs Invariance of Magnitude of Acceleration and help with proof

This question is a half-rant, half-question, as I am genuinely curious as to what the standard physics view is on this question. As someone who has studied math extensively (but not physics), please ...
atonaltensor's user avatar
2 votes
1 answer
189 views

Why not define tensors under Galilean or Poincare transformations?

I have seen vectors (and tensors, in general) defined under rotations, $$V^i=R^i_{~j}V^j$$ and under Lorentz transformations, $$V^{\prime\mu}=\Lambda^\mu_{~~\nu}V^\nu$$ where $R,\Lambda$ are the ...
Solidification's user avatar
1 vote
2 answers
297 views

Right way to define vectors under Galilean transformations?

This two questions: Vectors under Galilean transformation and Galilean transformations of velocity seem to tackle the issue but one was closed and the latter did not refer to vectors. To me a vector ...
Mauricio's user avatar
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1 vote
1 answer
284 views

Vectors under Galilean transformation [closed]

Acceleration and speed are both vectors. The former is invariant under boosts, while the latter is not. Why are vectors defined solely on the way they change under rotations and not under Galilean ...
Simone's user avatar
  • 51
5 votes
4 answers
11k views

Are vectors truly independent of coordinate systems?

I have been told to think of vectors as existing independent of a coordinate system. This means that the magnitude of a vector should be independent of any coordinate system we choose. Galilean ...
Hermitian_hermit's user avatar