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Fractals, coherent states and self-similarity induced noncommutative geometry
self-similarity fractals squeezed coherent states noncommutative geometry dissipation
2012/6/30
The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are relate...
Minimal length in quantum space and integrations of the line element in Noncommutative Geometry
quantum space integrations line element Noncommutative Geometry
2011/7/25
Abstract: We question the emergence of a minimal length in quantum spacetime, confronting two notions that appeared at various points in the literature: length as the spectrum of an operator L in the ...
A spectral action associated with an Einstein-Cartan formulation of supergravity is proposed. To construct this action we make use of the Seeley-DeWitt coefficients in a Riemann-Cartan space. For con...
A spectral action associated with an Einstein-Cartan formulation of supergravity is proposed. To construct this action we make use of the Seeley-DeWitt coefficients in a Riemann-Cartan space. For cons...
This paper discusses the observed flat rotation curves of galaxies in the context of noncommutative geometry. The energy density of such a geometry is diffused throughout a region due to the uncertain...
Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
noncommutative geometry Schwarzschild spacetime
2010/3/17
We derive a transformation of the noncommutative geometry inspired Schwarzschild solution
into new coordinates such that the apparent unphysical singularities of the metric are removed.
Moreover, we...
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
non-unitary link variable Connes' distance formula vacuum solution
noncommutative geometry cyclic group
2007/8/15
2002Vol.37No.1pp.11-14DOI:
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
DAI Jian and SONG Xing-Chang
Institute of Theoretical Phys...
Noncommutative Geometry and Classical Orbits of Particles
in a Central Force Potential
noncommutative geometry planetary orbits
2007/8/15
2004Vol.42No.2pp.183-184DOI:
Noncommutative Geometry and Classical Orbits of Particles
in a Central Force Potential
B. Mirza1,2 and M. Dehghani1
1 Department of Physics,...