The Rindler Interferometer

The double slit interferometer works as follows: A plane wave which starts in Rindler sector $P$ gets split into two partial components which propagate through $I$ and $II$. There they get modified by the two respective scatterers. They are two pointlike dipole loops accelerating into opposite directions. Each loop acts as a transmitter which re-radiates the electromagnetic field from the impinging wave. The e.m. fields emitted by these two transmitters exits through the event horizons of $I$ and $II$. Upon recombining in $F$ they produce an interference pattern as measured on the hypersurface $\xi=constant$ of the expanding inertial observation frame. The strength and the variations in this pattern are determined by (i) the proper separation between the two scatterers, (ii) their relative strengths and (iii) their relative phase. In fact, from this interference pattern one can reconstruct the currents $\dot q_I(\tau')$ and $\dot q_{II}(\tau')$, including the amplitudes, phases for each of them. In brief, the expanding inertial observation frame is the ``screen'' on which one can literally ``see'' what is going on in each of the two accelerated frames $I$ and $II$.