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5 votes
2 answers
892 views

Why are there only three independent rotations and three independent boosts?

In what sense, there are only three independent rotations (i.e., rotations $R_x, R_y$, and $R_z$ about $x$, $y$, and $z$ axes, respectively)? Is it because any infinitesimal rotation about an ...
Solidification's user avatar
0 votes
0 answers
54 views

Lorentz transformation in extra-dimension

The Lorentz transformation is usually defined In 4D spacetime, how can we derive the generalized transformation in extra-dimensional space-times like 5D or more dimensions?
Okba's user avatar
  • 67
0 votes
1 answer
102 views

Proper notation when working with three Euclidean spatial coordinates in a setting with a time parameter

The How does the Euclidean metric is the symmetry group of Euclidean space. It includes rotations and translations. Say I consider an Euclidean space and a time parameter. How does the Euclidean ...
Nikolaj-K's user avatar
  • 8,523