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.
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| Author: | Piero NicoliniORCiDGND, Euro SpallucciORCiD |
|---|---|
| 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 |
