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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...
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 ...
The idea of a line bundle in classical geometry is transferred to noncommutative geometry by the idea of a Morita context. From this we can construct Z and N graded algebras, the Z graded algebra bein...
We show that the principal part of the Dirac Hamiltonian in 3+1 dimensions emerges in a semi-classical approximation from a construc-tion which encodes the kinematics of quantum gravity.
Noncommutative Geometry and Supergravity     Noncommutative Geometry  Supergravity       font style='font-size:12px;'> 2010/12/23
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...
Noncommutative Geometry and Supergravity      Noncommutative Geometry  Supergravity        font style='font-size:12px;'> 2010/12/21
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...
Galactic rotation curves in noncommutative geometry           font style='font-size:12px;'> 2010/12/20
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...
We compute the quantum isometry group of the finite noncommutative geometry F describing the internal degrees of freedom in the Standard Model of particle physics. We show that this provides genuine...
n this note we prove that the spec(C)-points of the representation Artin-stack [repnR/PGLn] of n-dimensional representations of an affine C-algebra R correspond to C-algebra morphisms R - An where An ...
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...
2002Vol.37No.2pp.173-178DOI: SO(d,d;Z) Transformation Property for Gauge Fluxes and Ramond-Ramond Fields in Noncommutative Geometry WANG Pei Institute of Modern Physics,...
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...
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,...

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