This can be a monograph approximately non-commutative algebraic geometry, and its software to physics. the most mathematical inputs are the non-commutative deformation idea, moduli concept 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 targeted and common relativity. With this version in brain, a normal Quantum concept is built and proven to slot with the classical concept. 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 hence additionally the speculation of spin and quarks, and so forth.

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