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Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory
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ISBN
:
9789814343343
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Publisher
:
World Scientific Publishing Company
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Subject
:
Physics, Mathematics
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Binding
:
HARDCOVER
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Pages
:
156
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Year
:
2011
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10918.0
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₹
9389.0
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Description
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.
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