Zusammenfassung
In this letter we discuss the possibility of treating the spacetime by
itself as a kind of deformable body for which we can define a
fundamental lattice, just like atoms in crystal lattices. We show three
signs pointing in that direction. We simulate the spacetime manifold by
a very specific congruence of curves and use the Landau-Raychadhuri
equation to study the behavior of such a congruence. The lattice appears
because we are forced to associate to each curve of the congruence a
sort of fundamental ``particle''. The worldlines of these particles
should be identified with the congruence fulfilling the spacetime
manifold. The conclusion is that when describing the deformations of the
spacetime the Einstein equations emerge and the spacetime metric should
be treated as a secondary (not fundamental) object of the theory.
Nutzer