Galilea relativity and its invariant bilinear forms

Details Galilea relativity and its invariant bilinear forms Galilea relativity and its invariant bilinear forms

2006-05-18

arxiv.org/abs/math-ph/0605055v1

Physics

Mathematical Physics

6 pages

Scientific paper

We construct the family of bilinear forms gG on R3+1 for which Galilea boosts
and spatial rotations are isometries. The key feature of these bilinear forms
is that they are parametrized by a Galilea invariant vector whose physical
interpretation is rather unclear. At the end of the paper, we construct the
Poisson bracket associated to the (nondegenerate) antisymmetric part of gG.

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