Built on

S. Ansoldi, A. Aurilia and E. Spallucci, Phys. Rev. D 56
2002
Earlier work this paper cites.
A. Smailagic and E. Spallucci, J. Phys. A 36
2006
Earlier work this paper cites.
H. Georgi, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.

Similar

H. Goldberg and P. Nath, Phys. Rev. Lett. 100
2008
Cited alongside, same era.
P. Gaete and E. Spallucci, Phys. Lett. B 661
2008
Cited alongside, same era.
S. Carlip, arXiv:0909.3329 [gr-qc]. J. Ambjorn, J. Jurkiewicz and R. Loll, Phys. Rev. Lett. 95
Original
2009
Cited alongside, same era.

Then

J. R. Mureika, Phys. Lett. B 660
2009
Later among the works it cites.
L. Modesto and P. Nicolini, Phys. Rev. D 81
2010
Closest in time.
P. Gaete, J. A. Helayel-Neto and E. Spallucci, Phys. Lett. B 693
2010
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2010

Un-spectral dimension and quantum spacetime phases

Nicolini, Piero, Spallucci, Euro

Understand

In this Letter, we propose a new scenario emerging from the conjectured presence of a minimal length $\ell$ in the spacetime fabric, on the one side, and the existence of a new scale invariant, continuous mass spectrum, of un-particles on the other side.

We introduce the concept of \textit{un-spectral dimension} $\mathbb{D}_U$ of a $d$-dimensional, euclidean (quantum) spacetime, as the spectral dimension measured by an "un-particle" probe.
We find a general expression for the un-spectral dimension $\mathbb{D}_U$ labelling different spacetime phases: a semi-classical phase, where ordinary spectral dimension gets contribution from the scaling dimension $d_U$ of the un-particle probe ; a critical "Planckian phase", where four-dimensional spacetime can be effectively considered two-dimensional when $d_U=1$; a "Trans-Planckian phase", which is accessible to un-particle probes only, where spacetime as we currently understand it looses its physical meaning.