Mathematical Models In Science

Mathematical Models in Science provides a non-commutative Algebraic Geometric framework to treat General Relativity and Quantum Mechanics, proposing a Toy Model as a Theory of Everything. It concludes that the universe is the 6-dimensional Hilbert scheme of pairs of points in affine 3-space, applicable to Dark Matter and its effects on the visual universe.

Format: Hardback
Length: 320 pages
Publication date: 28 June 2021
Publisher: World Scientific Europe Ltd

Mathematical Models in Science presents a comprehensive exploration of General Relativity and Quantum Mechanics within a non-commutative Algebraic Geometric framework. Drawing upon the pioneering ideas first introduced in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a novel Toy Model as a Theory of Everything. This theoretical framework begins with the concept of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. Through meticulous analysis, the author demonstrates how to derive plausible models for both General Relativity and Quantum Theory.

Concluding this insightful book, the author reveals that the universe manifests as the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. This groundbreaking revelation opens up a vast realm of possibilities, enabling the development of a wide range of physical phenomena within the model. Notably, this theory finds applications in the realm of Dark Matter and its profound impact on our observable universe. Consequently, Mathematical Models in Science establishes the profound interconnectedness of deformation theory in Mathematical Physics and provides a comprehensive summary of the remarkable developments in the physical applications of pure mathematics achieved throughout the twentieth century.

ISBN-13: 9781800610279