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Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory

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Management number 237217338 Release Date 2026/07/10 List Price US$29.63 Model Number 237217338
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This is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its canonical Dirac derivation. The book starts with a new definition of time, relative to which the set of mathematical velocities form a compact set, implying special and general relativity. With this model in mind, a general Quantum Theory is developed and shown to fit with the classical theory. In particular the "toy"-model used as example, contains, as part of the structure, the classical gauge groups u(1), su(2) and su(3), and therefore also the theory of spin and quarks, etc. Read more

ISBN10 981434334X
ISBN13 978-9814343343
Edition 1st
Language English
Publisher World Scientific Publishing Company
Dimensions 5.91 x 0.36 x 9.06 inches
Item Weight 3.21 ounces
Print length 156 pages
Publication date March 21, 2011

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