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.
Read Online or Download Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory PDF
Similar Algebraic Geometry books
An available textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this ebook develops the language of algebraic geometry from scratch and makes use of it to establish the speculation of affine algebraic teams from first rules. development at the history fabric from algebraic geometry and algebraic teams, the textual content presents an advent to extra complex and specialized fabric.
The speculation of elliptic curves is unusual by way of its lengthy historical past and via the variety of the tools which have been utilized in its research. This ebook treats the mathematics method in its sleek formula, by using uncomplicated algebraic quantity conception and algebraic geometry. Following a short dialogue of the required algebro-geometric effects, the e-book proceeds with an exposition of the geometry and the formal team of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and international fields.
This seriously class-tested booklet is an exposition of the theoretical foundations of hyperbolic manifolds. it's a either a textbook and a reference. A simple wisdom of algebra and topology on the first yr graduate point of an American collage is believed. the 1st half is worried with hyperbolic geometry and discrete teams.
Additional info for Geometry of Time-Spaces: Non-Commutative Algebraic Geometry, Applied to Quantum Theory