Abstract Recently there are more and interest on the gravitational wave of moving sources. This introduces a Lorentz transformation problem wave. Although Bondi-Metzner-Sachs (BMS) theory has in principle already included wave, three dimensional tensor not been explicitly calculated before. Within four spacetime, have property `boost weight zero' `spin 2'. fact makes difficult to understand. In...

It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4–vector scalar products. This implies the existence of invariant length intervals analagous to invariant proper time intervals. This formalism, making essential use of the 4-vector electromagnetic potential concept, provides a short derivation of the Lorentz for...

In order to understand the characteristics of quantum entanglement of massive particles under Lorentz boost, we first introduce a relevant relativistic spin observable, and evaluate its expectation values for the Bell states under Lorentz boost. Then we show that maximal violation of the Bell’s inequality can be achieved by properly adjusting the directions of the spin measurement even in a rel...

Lorentz transformations between inertial observers, along with Einstein's theory of special relativity, remedied discrepancies Newtonian physics and Maxwell's electromagnetism caused by the use same time in all frames. In view fundamental importance relativity there have been several papers deriving generalized without using light. Proving that general are linear space can be done ways, most co...

In [Gottlieb (1998)] and [Gottlieb (2000)] we launched a study of Lorentz transformations. We find that every Lorentz transformation can be expressed as an exponential e where F is a skew symmetric operator with respect to the Minkowski metric 〈 , 〉 of form −+++. We provided F with the notation of electromagnetism. Thus we can describe boosts as pure ~ E fields and rotations as pure ~ B fields....

We define a noncommutative Lorentz symmetry for canonical noncommutative spaces. Although the Lie algebra of the Poincaré group is undeformed, the noncommutative vector fields and the derivatives transform under a deformed Lorentz transformation. We apply our idea to the case of actions obtained by expanding the star product and the fields taken in the enveloping of the Lie algebra via the Seib...