Download E-books Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory PDF

This can be a monograph approximately non-commutative algebraic geometry, and its software to physics. the most mathematical inputs are the non-commutative deformation conception, moduli thought of representations of associative algebras, a brand new non-commutative thought of section areas, and its canonical Dirac derivation. The booklet starts off with a brand new definition of time, relative to which the set of mathematical velocities shape a compact set, implying designated and common relativity. With this version in brain, a normal Quantum conception is constructed and proven to slot with the classical idea. specifically the "toy"-model used as instance, comprises, as a part of the constitution, the classical gauge teams u(1), su(2) and su(3), and as a result additionally the idea of spin and quarks, and so on.

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