Skip to main content
  • Book
  • © 2017

Discrete Causal Theory

Emergent Spacetime and the Causal Metric Hypothesis

  • 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
  • Includes supplementary material: sn.pub/extras

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxx
  2. Foundations of Discrete Causal Theory

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Benjamin F. Dribus
      Pages 3-63
    3. The Causal Metric Hypothesis

      • Benjamin F. Dribus
      Pages 65-135
    4. Causal Sets and Generalizations

      • Benjamin F. Dribus
      Pages 137-195
    5. Local Properties

      • Benjamin F. Dribus
      Pages 197-269
  3. Discrete Quantum Causal Theory

    1. Front Matter

      Pages 271-271
    2. Relation Space and Generalizations

      • Benjamin F. Dribus
      Pages 273-338
    3. Quantum Spacetime

      • Benjamin F. Dribus
      Pages 339-395
    4. Kinematics and Dynamics

      • Benjamin F. Dribus
      Pages 397-453
    5. Toward Phenomenology

      • Benjamin F. Dribus
      Pages 455-518
  4. Back Matter

    Pages 519-558

About this book

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.

Authors and Affiliations

  • Department of Mathematics, William Carey University, Hattiesburg, USA

    Benjamin F. Dribus

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.

Bibliographic Information

  • Book Title: Discrete Causal Theory

  • Book Subtitle: Emergent Spacetime and the Causal Metric Hypothesis

  • Authors: Benjamin F. Dribus

  • DOI: https://doi.org/10.1007/978-3-319-50083-6

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-50081-2Published: 04 May 2017

  • Softcover ISBN: 978-3-319-84313-1Published: 08 May 2018

  • eBook ISBN: 978-3-319-50083-6Published: 26 April 2017

  • Edition Number: 1

  • Number of Pages: XXX, 558

  • Number of Illustrations: 154 b/w illustrations

  • Topics: Classical and Quantum Gravitation, Relativity Theory, Cosmology, Topology, Geometry

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access