Another Example of Noncommutative Spaces: κ-Deformed Space

2009 ◽  
pp. 73-85
Author(s):  
Marija Dimitrijević
Keyword(s):  
Noncommutative Spaces

A Gravity Theory on Noncommutative Spaces

2007 ◽  
Author(s):  
Frank Meyer ◽  
P. Aschieri ◽  
C. Blohmann ◽  
M. Dimitrijevic ◽  
P. Schupp ◽  
...  
Keyword(s):  
Gravity Theory ◽  
Noncommutative Spaces

scholarly journals Noncommutative spaces and covariant formulation of statistical mechanics

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
V. Hosseinzadeh ◽  
M. A. Gorji ◽  
K. Nozari ◽  
B. Vakili
Keyword(s):  
Statistical Mechanics ◽  
Covariant Formulation ◽  
Noncommutative Spaces

scholarly journals Codes as Fractals and Noncommutative Spaces

2012 ◽  
Vol 6 (3) ◽  
pp. 199-215 ◽  
Author(s):  
Matilde Marcolli ◽  
Christopher Perez
Keyword(s):  
Noncommutative Spaces

scholarly journals NONCOMMUTATIVE METAFLUID DYNAMICS

2006 ◽  
Vol 21 (03) ◽  
pp. 505-516 ◽  
Author(s):  
A. C. R. MENDES ◽  
C. NEVES ◽  
W. OLIVEIRA ◽  
F. I. TAKAKURA
Keyword(s):  
Phase Space ◽  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Additional Term ◽  
Dissipative Force ◽  
Covariant Form ◽  
Covariant Quantization ◽  
Noncommutative Spaces ◽  
Classical Phase Space

In this paper we define a noncommutative (NC) metafluid dynamics.1,2 We applied the Dirac's quantization to the metafluid dynamics on NC spaces. First class constraints were found which are the same obtained in Ref. 4. The gauge covariant quantization of the nonlinear equations of fields on noncommutative spaces were studied. We have found the extended Hamiltonian which leads to equations of motion in the gauge covariant form. In addition, we show that a particular transformation3 on the usual classical phase space (CPS) leads to the same results as of the ⋆-deformation with ν = 0. Besides, we have shown that an additional term is introduced into the dissipative force due to the NC geometry. This is an interesting feature due to the NC nature induced into model.

scholarly journals COMPLEX GRAVITY AND NONCOMMUTATIVE GEOMETRY

2001 ◽  
Vol 16 (05) ◽  
pp. 759-766 ◽  
Author(s):  
ALI H. CHAMSEDDINE
Keyword(s):  
Noncommutative Geometry ◽  
Space Time ◽  
Specific Form ◽  
Antisymmetric Tensor ◽  
Gauge Invariant ◽  
Diffeomorphism Invariance ◽  
Open Strings ◽  
Noncommutative Spaces

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry U(1, D-1). The resulting action gives one specific form of nonsymmetric gravity. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. It is argued that for this theory to be consistent one must prove the existence of generalized diffeomorphism invariance. The results are easily generalized to noncommutative spaces.

A Note on the Entire Cyclic Cohomology of a Finite Dimensional Noncommutative Space

1993 ◽  
Vol 36 (4) ◽  
pp. 449-457
Author(s):  
Slawomir Klimek ◽  
Andrzej Lesniewski
Keyword(s):  
Sufficient Conditions ◽  
Cyclic Cohomology ◽  
Noncommutative Space ◽  
Finite Dimensional ◽  
Noncommutative Spaces

AbstractWe present sufficient conditions for entire cyclic cohomology to reduce to ordinary cyclic cohomology. These conditions are characteristic for finite dimensional (noncommutative) spaces.

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