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Discrete Causal Theory: Emergent Spacetime and the Causal Metric Hypothesis

Autor Benjamin F. Dribus
en Limba Engleză Hardback – 4 mai 2017
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.
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Specificații

ISBN-13: 9783319500812
ISBN-10: 3319500813
Pagini: 578
Ilustrații: XXX, 558 p. 154 illus.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 1 kg
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică


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.

Textul de pe ultima copertă

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.

Caracteristici

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