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Discrete Causal Theory

Emergent Spacetime and the Causal Metric Hypothesis

  • Benjamin F. Dribus

Table of contents

  1. Front Matter
    Pages i-xxx
  2. Foundations of Discrete Causal Theory

    1. Front Matter
      Pages 1-1
    2. Benjamin F. Dribus
      Pages 3-63
    3. Benjamin F. Dribus
      Pages 65-135
    4. Benjamin F. Dribus
      Pages 137-195
    5. Benjamin F. Dribus
      Pages 197-269
  3. Discrete Quantum Causal Theory

    1. Front Matter
      Pages 271-271
    2. Benjamin F. Dribus
      Pages 273-338
    3. Benjamin F. Dribus
      Pages 339-395
    4. Benjamin F. Dribus
      Pages 397-453
    5. Benjamin F. Dribus
      Pages 455-518
  4. Back Matter
    Pages 519-558

About this book

Introduction

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.

Keywords

Causal graph Causal set theory Causal structure Emergent geometry Emergent spacetime Quantum cosmology Quantum gravity Quantum spacetime Spacetime structure

Authors and affiliations

  • Benjamin F. Dribus
    • 1
  1. 1.Department of MathematicsWilliam Carey UniversityHattiesburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-50083-6
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-50081-2
  • Online ISBN 978-3-319-50083-6
  • Buy this book on publisher's site