Relational Blockworld: Towards a Discrete Graph Theoretic Foundation of Quantum Mechanics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We propose a discrete path integral formalism over graphs fundamental to quantum mechanics (QM) based on our interpretation of QM called Relational Blockworld (RBW). In our approach, the transition amplitude is not viewed as a sum over all field configurations, but is a mathematical machine for measuring the symmetry of the discrete differential operator and source vector of the discrete action. Therefore, we restrict the path integral to the row space of the discrete differential operator, which also contains the discrete source vector, in order to avoid singularities. In this fashion we obtain the two-source transition amplitude over a "ladder" graph with N vertices. We interpret this solution in the context of the twin-slit experiment.
21 pp of text, 2 figures

Keywords

Quantum Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/223403

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.2642
 http://arxiv.org/abs/0903.2642

Collections

arXiv