A Geometrical Setting for Constructing Nonlinear Lorentz Transformations of the Albano-Dresden Type
Keyword(s):
We investigate a nonlinear realization of the Lorentz transformation defined in 4-dimensional spacetime, and the corresponding invariant interval. This new interval is not a quadratic form in the standard Minkowski spacetime, then we search for a description where it becomes a quadratic form in an infinite dimensional vector space. In this extended space, we show how to generate two classes of nonlinear transformations, which form a group and interpret the non-linear transformation as compatible relations between atlas of a Lyra manifold.
2017 ◽
Vol 83
(12)
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pp. 83-111
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Keyword(s):
2004 ◽
Vol 134
(3)
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pp. 477-499
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1978 ◽
Vol 30
(03)
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pp. 499-511
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2007 ◽
Vol 22
(11)
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pp. 807-817
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2001 ◽
Vol 71
(2)
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pp. 279-298