Quantum Logic: Is It Necessarily Orthocomplemented?

Abstract

One of the intriguing problems of the present day theory is the lack of similarity between general relativity and quantum mechanics General relativity is a product of a long evolution line of classical theories leading toward structural flexibility. The most characteristic steps of that evolution were: (1) the discovery of space-time geometry (stage of Minkowski space), (2) the generalization of the geometry (introduction of the pseudo-Riemannian manifolds), and (3) the discovery that geometry depends on matter. In spite of its classical character general relativity is an example of an evolved theory: its fundamental structure is not given a priori (apart from generalities concerning the category) but is conditioned by physics.