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CMB statistics in noncommutative inflation
Cosmological inflation Statistical anisotropy of the cosmic microwave background Scale-dependent non-Gaussianity
2010/11/12
Noncommutative geometry can provide effective description of physics at very short distances taking into account generic effects of quantum gravity. Inflation amplifies tiny quantum fluctuations in th...
Exotic smooth R^4, noncommutative algebras and quantization
noncommutative algebras quantization R^4
2010/3/18
The paper shows deep connections between exotic smoothings of small R^4, noncommutative algebras of foliations and quantization. At first, based on the close relation of foliations and noncommutative ...
Noncommutative gauge theory using covariant star product defined between Lie valued differential forms
covariant star product differential forms symplectic manifold
2010/3/18
We develop an internal gauge theory using a covariant star product. The space-time is a symplectic manifold endowed only with torsion but no curvature. It is shown that, in order to assure the restric...