Mathematical Models In Science - Hardcover

Laudal Olav Arnfinn

Hardcover

ISBN 10: 1800610270 ISBN 13: 9781800610279

Publisher: World Scientific Publishing, 2021

Synopsis

Mathematical Models in Science<\/em>\x26nbsp;treats General Relativity and Quantum Mechanics in a non\-commutative Algebraic Geometric framework.<\/p>

Based on ideas first published in\x26nbsp;Geometry of Time\-Spaces: Non\-commutative Algebraic Geometry Applied to Quantum Theory<\/em>\x26nbsp;(World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modelled as the non\-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6\-dimensional Hilbert scheme of pairs of points in affine 3\-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.<\/p>

Hence,\x26nbsp;Mathematical Models in Science<\/em>\x26nbsp;proves the dependency of deformation theory in Mathematical Physics and summarises the development of physical applications of pure mathematics developed in the twentieth century.<\/p>

About this title

About the Author

Professor Olav Arnfinn Laudal has been crucial to the development of Norwegian mathematics during the twentieth century, beginning and ending his academic career at the University of Oslo, Norway. Laudal's mathematical work has mainly been within the field of algebraic geometry. A cornerstone in his mathematical production is the monograph Formal Moduli of Algebraic Structures (Springer, 1979). It summarises works in the theory of deformation from the period 1961–77 and lays the foundation for later applications of the same theory to algebraic curves, singularity theory and Lie algebras.

Between 1967 and 1982, Laudal has been a Visiting Professor at a number of US universities including the University of Illinois, the University of California, and the University of Pennsylvania. In addition, he has been an Associate Professor at the University of Nice, University of Angers, and the University of Catania. A member of the Working Group of the Abel Prize, Laudal was one of the founders of Norway's Abel Prize which is awarded annually to outstanding mathematicians. Since retiring, Laudal has led a research year in non-commutative geometry at the Mittag-Leffler Institute in Stockholm, in addition to being a member of the management of several international conferences, including at the ICTP in Trieste.

Laudal has published multiple articles on non-commutative algebraic geometry, deformation theory and mathematical physics and two monographs titled Geometry of Time-Spaces (World Scientific, 2011) and Noncommutative Deformation Theory (Chapman and Hall, 2017). He is a member of the Norwegian Academy of Science and Letters and is also known for his political activity for Norway's Socialist Left Party.

Edition details

• Publisher: World Scientific Publishing
• Publication date: 2021
• Language: English
• ISBN 10: 1800610270
• ISBN 13: 9781800610279
• Binding: Hardcover
• Number of pages: 320