122 research outputs found
On the Bell's spaceships paradox and proper length for accelerated bodies
We study the Dewan-Beran-Bell thought experiment of two spaceships connected
by a thread that start accelerated motion and discuss the proper length of the
thread by means of Born's definition of proper length for arbitrary motion.Comment: 3 figure
An Extension of Poincaré group based on generalized Fermi-Walker coordinates
The class of accelerated and rotating reference frames has been studied on the basis of generalized Fermi-Walker coordinates. We obtain the infinitesimal transformations connecting any two of these frames and also their commutation relations. We thus have an infinite dimensional extension of the Poincaré algebra and, although it turns out to be Abelian extension, and hence trivial, it is noteworthy that, contrarily to Lorentz boosts, acceleration and rotational boost generators commute with each other and with the generators of Poincaré group as wel
- …