Discrete Causal Theory
Emergent Spacetime and the Causal Metric Hypothesis
Authors: Dribus, Benjamin F
Free Preview- Elaborates upon one of the best-motivated approaches to solving the outstanding problems of fundamental physics
- Explains spacetime as an emergent property of the underlying mathematical structure
- Provides a clear exposition of causal set theory and refinements that make it more powerful
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- About this book
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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.
- About the authors
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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 (8 chapters)
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Introduction
Pages 3-63
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The Causal Metric Hypothesis
Pages 65-135
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Causal Sets and Generalizations
Pages 137-195
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Local Properties
Pages 197-269
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Relation Space and Generalizations
Pages 273-338
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Table of contents (8 chapters)
- Download Preface 1 PDF (78.7 KB)
- Download Sample pages 2 PDF (1.5 MB)
- Download Table of contents PDF (153.1 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Discrete Causal Theory
- Book Subtitle
- Emergent Spacetime and the Causal Metric Hypothesis
- Authors
-
- Benjamin F Dribus
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-50083-6
- DOI
- 10.1007/978-3-319-50083-6
- Hardcover ISBN
- 978-3-319-50081-2
- Softcover ISBN
- 978-3-319-84313-1
- Edition Number
- 1
- Number of Pages
- XXX, 558
- Number of Illustrations
- 154 b/w illustrations
- Topics
