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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Geometry Of Time-spaces: Non-commutative Algebraic Geometry, Applied To Quantum Theory (Hardcover)
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Geometry Of Time-spaces: Non-commutative Algebraic Geometry, Applied To Quantum Theory (Hardcover)
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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.
General
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