Multiple-Event Probability in General-Relativistic Quantum Mechanics

This work seeks to solve the problem of a well-defined multiple-alternative probability formula in the context of general-relativistic QM. The proposal is to re-conduct this probability to the single-event probability postulate, provided that the dynamics and the quantum nature of the physical measuring apparatuses are brought into the picture, and that the new single event includes the presence of a “record” of a feature of the system measured by an apparatus that has interacted with the system itself. This probability formula can be used for, besides conventional QM, truly general-relativistic systems; some examples are given and a broad survey of the literature on the subject is provided. Moreover, this work aims to grasp some qualitative aspects of space and time. These include the notion of space and time regarded as the containers of, respectively, bodies and events. We also discuss the divisibility of space and the unrepeatability of events due to time. Some conceptual aspects of modern science are studied from this standpoint. Finally, this book is advised for those interested on both the technical and conceptual aspects of: space, time, probability, measurement, QM and GR.