Geometry of Time-Spaces : Non-Commutative Algebraic Geometry, Applied to Quantum Theory
audal, Olav arnfinn
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 "toy"-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.
Readership: Researchers in geometry and quantum physics.
سب زمرہ:
سال:
2011
اشاعت:
1
ناشر کتب:
World Scientific Publishing Company
زبان:
english
صفحات:
156
ISBN 10:
981434334X
ISBN 13:
9789814343343
فائل:
PDF, 3.14 MB
IPFS:
,
english, 2011