Discrete Causal Theory: Emergent Spacetime and the Causal Metric Hypothesis

by Benjamin F. Dribus

Overview

This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation.

Product Details

ISBN-13:	9783319500812
Publisher:	Springer International Publishing
Publication date:	04/27/2017
Edition description:	1st ed. 2017
Pages:	558
Sales rank:	864,689
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Benjamin F. Dribus is an assistant professor of mathematics at William Carey University in Hattiesburg, Mississippi, and a member of the Foundational Questions Institute. His principal research interests are fundamental spacetime structure and quantum gravity. He also has a pure math research program in algebraic geometry and algebraic K-theory.

Table of Contents

Part I: Foundations of Discrete Causal Theory.- Introduction.- The Causal Metric Hypothesis.- Causal Sets and Generalizations.- Local Properties.- Part II: Discrete Quantum Causal Theory.- Relation Space and Generalizations.- Quantum Spacetime.- Kinematics and Dynamics.- Toward Phenomenology.- Conventions.