Algebraic Geometry

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

It is a monograph approximately non-commutative algebraic geometry, and its software to physics. the most mathematical inputs are the non-commutative deformation idea, moduli conception of representations of associative algebras, a brand new non-commutative conception of part areas, and its canonical Dirac derivation. The e-book starts off with a brand new definition of time, relative to which the set of mathematical velocities shape a compact set, implying specific and basic relativity. With this version in brain, a basic Quantum concept is constructed and proven to slot with the classical conception. particularly the "toy"-model used as instance, includes, as a part of the constitution, the classical gauge teams u(1), su(2) and su(3), and for this reason additionally the idea of spin and quarks, and so on.

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