Un-spectral dimension and quantum spacetime phases
- 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.
Author: | Piero NicoliniORCiDGND, Euro SpallucciORCiD |
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URN: | urn:nbn:de:hebis:30:3-765711 |
DOI: | https://doi.org/10.1016/j.physletb.2010.10.041 |
ISSN: | 0370-2693 |
Parent Title (English): | Physics Letters B |
Publisher: | Elsevier |
Place of publication: | Amsterdam [u.a.] |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2010/10/22 |
Date of first Publication: | 2010/10/22 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2023/09/27 |
Tag: | Fractal dimension; Un-particle physics |
Volume: | 695.2011 |
Issue: | 1-4 |
Page Number: | 4 |
First Page: | 290 |
Last Page: | 293 |
HeBIS-PPN: | 513367160 |
Institutes: | Physik |
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS) | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |