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Noncommutative spectral geometry, algebra doubling and the seeds of quantization
Noncommutative spectral geometry algebra doubling the seeds of quantization
2011/7/26
Abstract: A physical interpretation of the two-sheeted space, the most fundamental ingredient of noncommutative spectral geometry proposed by Connes as an approach to unification, is presented. It is ...
Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry
Quantum Dirac Field Illustrating Quantum Field Theory Lorentzian Spectral Geometry
2011/7/25
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...
Investigating the Spectral Geometry of a Soft Wall
Spectral Geometry Quantum Physics High Energy Physics - Theory
2011/7/27
Investigating the Spectral Geometry of a Soft Wall.
The paper is an informal report on joint work with Stefan Haller on Dynamics in relation with Topology and Spectral Geometry. By dynamics one means a smooth vector field on a closed smooth manifold; t...
On the spectral geometry of a Riemannian Legendre foliation
spectral geometry Riemannian Legendre foliation
2010/12/8
We obtain geometric characterizations of isospectral minimal Riemannian Legendre foliations on compact Sasakian manifolds of constant '-sectional curvature.