- #1
archipatelin
- 26
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Is corretct, that a general lorenz transformation don't satisfaction axioms of group structure?
Let, GL(A,B) is general Lorenz transformacion from a frame A to frame B, which B is moveing a velocity V with respect to A.
And GL(B,C) is likewise G. L. from B to C. A frame C has a valocity U with respect to B.
Further, Letter W is velocity U observe in frame A.
BUT. Transformation GL(A,C) from frame A to C, where C is moveing just velocity W (to A) is NOT identity with rolling transformacions GL(A,B) (V) "+" GL(B,C)(U)!
I know. This is centrality for new relativistic effect: Thomas precession.
But, I cannot accept, that operation composing of General Lorenez transformations don't make again General Lorenz transformation (a set is not close for this operation).
How, do you explain this?
thx
Let, GL(A,B) is general Lorenz transformacion from a frame A to frame B, which B is moveing a velocity V with respect to A.
And GL(B,C) is likewise G. L. from B to C. A frame C has a valocity U with respect to B.
Further, Letter W is velocity U observe in frame A.
BUT. Transformation GL(A,C) from frame A to C, where C is moveing just velocity W (to A) is NOT identity with rolling transformacions GL(A,B) (V) "+" GL(B,C)(U)!
I know. This is centrality for new relativistic effect: Thomas precession.
But, I cannot accept, that operation composing of General Lorenez transformations don't make again General Lorenz transformation (a set is not close for this operation).
How, do you explain this?
thx