TY  - JOUR
A1  - Nicolini, Piero
A1  - Spallucci, Euro
T1  - Un-spectral dimension and quantum spacetime phases
T2  - Physics Letters B
N2  - In this Letter, we propose a new scenario emerging from the conjectured presence of a minimal length ℓ 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 un-spectral dimension DU 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 DU labelling different spacetime phases: a semi-classical phase, where ordinary spectral dimension gets contribution from the scaling dimension dU of the un-particle probe; a critical “Planckian phase”, where four-dimensional spacetime can be effectively considered two-dimensional when dU=1; a “Trans-Planckian phase”, which is accessible to un-particle probes only, where spacetime as we currently understand it looses its physical meaning.
KW  - Fractal dimension
KW  - Un-particle physics
Y1  - 2010
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/76571
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-765711
SN  - 0370-2693
VL  - 695.2011
IS  - 1-4
SP  - 290
EP  - 293
PB  - Elsevier
CY  - Amsterdam [u.a.]
ER  -