Mathematical Models In Science

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A01=Olav Arnfinn Laudal
Algebraic Moduli Theory
Algebraic Motivic Theory
Application of Algebraic Geometry
Applications of Geometric Invariant Theory
Applications of Representation Theory
Author_Olav Arnfinn Laudal
Category=PHU
Deformation Theory
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General Relativity
Geometry
Mathematical Modelling
Mathematical Physics
Noncommutative Algebraic Geometry
Noncommutative Geometry
Phase Spaces
Quantum Mechanics
Quantum Theory
Unification Theory

Product details

  • ISBN 9781800610279
  • Publication Date: 28 Jun 2021
  • Publisher: World Scientific Europe Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Mathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (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, modeled 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.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.

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