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On the finite spectral triple of an almost-commutative geometry
the finite spectral triple almost-commutative geometry
2010/12/27
In this paper we examine the relevance of the signature of the metric of space-time on constructing the product of the pseudo-Riemannian spectral triple with a finite triple describing the internal ge...
We relate two formulations of the recently constructed double field theory to a frame-like geometrical formalism developed by Siegel. A self-contained presentation of this formalism is given, includi...
Although amphitheater-shaped valley heads can be cut by groundwater flows emerging from springs, recent geological evidence suggests that other processes may also produce similar features, thus confou...
A projective Dirac operator on CP^2 within fuzzy geometry
projective Dirac operator fuzzy geometry
2010/12/22
We propose an ansatz for the commutative canonical spin_c Dirac operator on CP^2 in a global geometric approach using the right invariant (left action-) induced vector fields from SU(3). This ansatz ...
Quantum dynamics (e.g., the Schr\"odinger equation) and classical dynamics (e.g., Hamilton equations) can both be formulated in equal geometric terms: a Poisson bracket defined on a manifold. The diff...