Discrete Causal Theory

Emergent Spacetime and the Causal Metric Hypothesis
Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-3-319-84313-1
Verlag: Springer International Publishing

Buch, Englisch, 558 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 879 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Dribus, Benjamin F.

Fachgebiete

• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Mathematik | Informatik Mathematik Geometrie
• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

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.

Über Autor(innen)

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.