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M. Born, Nature 136
1949
Earlier work this paper cites.
F. John, Partial Differential Equations, New York, Springer-Verlag, 1982, 4th ed
1982
Earlier work this paper cites.
A. Connes, Noncommutative geomtry, Acadamic Press (1994); S. Doplicher, K. Fredenhagen and J. E. Roberts, The quantum structure of spacetime at the Planck scale and quantum fields, Comm. Math. Phys. 172
1995
Earlier work this paper cites.
J. Ambjorn, J, Jurkeiwicz and R. Loll, Spcetral Dimension of the Universe, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
O. Lauscher and M. Reuter, Fractal Spacetime Structure in Asymptotically Safe Gravity, JHEP 0510
2005
Earlier work this paper cites.
S. Meljanac and M. Stojic, New realizations of Lie algebra kappa-deformed Euclidean space, Eur. Phys. J. C47
2006
Earlier work this paper cites.

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2015

V, Anjana., Harikumar, E.

We investigate the spectral dimension of $\kappa$-space-time using the $\kappa$-deformed diffusion equation.

The deformed equation is constructed for two different choices of Laplacians in $n$-dimensional, $\kappa$-deformed Euclidean space-time.
We use an approach where the deformed Laplacians are expressed in the commutative space-time itself.
Using the perturbative solutions to diffusion equations, we calculate the spectral dimension of $\kappa$-deformed space-time and show that it decreases as the probe length decreases.

M. Born, Nature 136
1949
Earlier work this paper cites.
F. John, Partial Differential Equations, New York, Springer-Verlag, 1982, 4th ed
1982
Earlier work this paper cites.
A. Connes, Noncommutative geomtry, Acadamic Press (1994); S. Doplicher, K. Fredenhagen and J. E. Roberts, The quantum structure of spacetime at the Planck scale and quantum fields, Comm. Math. Phys. 172
1995
Earlier work this paper cites.
J. Ambjorn, J, Jurkeiwicz and R. Loll, Spcetral Dimension of the Universe, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
O. Lauscher and M. Reuter, Fractal Spacetime Structure in Asymptotically Safe Gravity, JHEP 0510
2005
Earlier work this paper cites.
S. Meljanac and M. Stojic, New realizations of Lie algebra kappa-deformed Euclidean space, Eur. Phys. J. C47
2006
Earlier work this paper cites.