The Paradox of Thomas Rotation
| Scientific Paper | |
|---|---|
| Title | The Paradox of Thomas Rotation |
| Author(s) | Constantin I Mocanu |
| Keywords | Thomas rotation, non-collinear velocities, electromagnetic field, (STR) |
| Published | 1991 |
| Journal | Galilean Electrodynamics |
| Volume | 2 |
| Number | 4 |
| Pages | 67-74 |
Abstract
In order to extend the 1 + 1 Lorentz transformation to one with 1 + 3 dimensions, the so-called Thomas rotation is inevitably involved. This, in turn, provides the relativistic interpretations of the non-commutative and non-associative composition laws of non-collinear velocities. When dealing with two successive Lorentz transformations involving non-collinear velocities, two peculiarities are revealed. The first is related to the vector-scaler pair (J, p) and the second to the vector pair (E, B); neither implies the Thomas rotation. Ungar's attempt to solve these difficulties by applying the Thomas rotation if invalidated by the conservation law of the electromagnetic field. The result is a paradox revealing an internal contradiction of the Special Theory of Relativity.
