Physics – Classical Physics
Scientific paper
2006-01-12
C.R. Physique (2007) 921-928
Physics
Classical Physics
Conferences given, Friday 13th May 2005 and Tuesday 20th December 2005 at ULB (Universite Libre de Bruxelles, Physique des Par
Scientific paper
10.1016/j.crhy.2007.06.002
We show that the kinematics underlying Poincare's elongated ellipse, immediately deduced from Lorentz Transformation (LT), is not the same as Einstein's kinematics. The two main differences are : On one hand the relationship of Lorentz contraction with LT, and on the other hand, the relationship of Doppler formula with wave four-vector. Einstein's wave four-vector (quantum theory of light, photon, transverse gauge) is not the same as Poincare's wave four-vector (classical theory of light, electromagnetic wave, Lorenz gauge) and therefore the Doppler formulas are not the same. Poincare's Doppler formula is not independent of the metric of space-time. We show that Poincare's metrics of space-time is based on a cosmological definition of distance and predicts an expansion of space for remote objects (Hubble), directly connected with Poincare's Doppler formula.
Pierseaux Dr Yves
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