Geometry Of Time-spaces: Non-commutative Algebraic Geometry, Applied To Quantum Theory (eBook)

Non-commutative Algebraic Geometry, Applied to Quantum Theory

Olav Arnfinn Laudal (Autor)

eBook Download: PDF

2011
156 Seiten
World Scientific Publishing Company (Verlag)
978-981-4343-35-0 (ISBN)

Infos

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 âtoyâ-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.

Produkt-Details

• Erscheint lt. Verlag: 21.3.2011
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 981-4343-35-8 / 9814343358
• ISBN-13: 978-981-4343-35-0 / 9789814343350