Authors: René Friedrich
General relativity and quantum mechanics both have been confirmed by experiments. In order to unify them, a new theory of quantum gravity is searched, but without success. The current theories of quantum gravity are based on the tacit assumption of a continuous, differentiable Lorentzian spacetime manifold. Little attention has been paid to this assumption, but no theory is complete without the prior verification of the soundness of its underlying assumptions. Surprisingly, we will see in the following that, whatever is the approach we choose, nothing is corroborating the assumption of a continuous spacetime manifold. Based on the principles of general relativity we will find that the universe is not consisting of discrete points in spacetime (events), but of discrete worldlines of particles.
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