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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 ...
Line bundles and the Thom construction in noncommutative geometry
Line bundles Thom construction noncommutative geometry
2011/1/19
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...
Quantum Gravity coupled to Matter via Noncommutative Geometry
Quantum Gravity Matter Noncommutative Geometry
2011/3/2
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.
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...
Quantum Isometries of the finite noncommutative geometry of the Standard Model
Quantum Isometries finite noncommutative geometry Standard Model
2010/12/6
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...
Representation stacks, D-branes and noncommutative geometry
Representation stacks D-branes noncommutative geometry
2010/12/13
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 ...
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...
SO(d,d;Z) Transformation Property for Gauge Fluxes and
Ramond-Ramond Fields in Noncommutative Geometry
SO(d d Z) spinor noncommutative geometry
2007/8/15
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,...
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,...