On the Possibility of Instant Displacements in the Space-Time of General Relativity‪.‬

Employing the mathematical apparatus of chronometric invariants (physical observable quantities), this study finds a theoretical possibility for the instant displacement of particles in the space-time of the General Theory of Relativity. This is to date the sole theoretical explanation of the well-known phenomenon of photon teleportation, given by the purely geometrical methods of Einstein's theory. As it is known, the basic space-time of the General Theory of Relativity is a four-dimensional pseudo-Riemannian space, which is, in general, inhomogeneous, curved, rotating, and deformed. There the square of the space-time interval [ds.sup.2] = [g.sub.[alpha][beta]] d[x.sup.[alpha]]d[x.sup.beta], being expressed in the terms of physical observable quantities--chronometric invariants [1, 2], takes the form