Discrete Causal Theory

Emergent Spacetime and the Causal Metric Hypothesis

Benjamin F. Dribus (Autor)

Buch | Hardcover

XXX, 558 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-50081-2 (ISBN)

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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.

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.

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.

Erscheinungsdatum	18.01.2017
Zusatzinfo	XXX, 558 p. 154 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Causal graph • Causal set theory • Causal structure • Classical and Quantum Gravitation, Relativity Theo • Cosmology • Emergent geometry • Emergent spacetime • Geometry • Gravity • Physics • Physics and Astronomy • Quantum Cosmology • Quantum Gravity • Quantum Spacetime • Relativity physics • Spacetime structure • Topology
ISBN-10	3-319-50081-3 / 3319500813
ISBN-13	978-3-319-50081-2 / 9783319500812
Zustand	Neuware