Spacetime structure on quantum lattice (Q685171)

Instead of the usual field-theoretic approach of quantization of general relativity, the author suggests to develop a theory of spacetime which is intrinsically based on quantum theory. The primary object of the current formulation of general relativity is an ``underlying set'' on which the (causal, topological, geometrical) structure of spacetime is defined. The elements of this set are called ``events''. In quantum theory an event means a possible result of a possible measurement or observation performed on a physical events belonging to the whole universe, rather than to a separate physical system. This set of events has an immanent ``logical structure'', a non-Boolean lattice structure on which the quantum mechanical probability theory can be defined. The (quantum) spacetime is a structure defined over the quantum lattice of physical events.