Anderson's localization in a random metric: applications to cosmology
| dc.creator | Flores, J. C. | |
| dc.creator | Bologna, M. | |
| dc.date | 2005-01-05 | |
| dc.date.accessioned | 2026-07-07T03:29:18Z | |
| dc.date.available | 2026-07-07T03:29:18Z | |
| dc.description | It is considered an equation for the Lyapunov exponent $% γ$ in a random metric for a scalar propagating wave field. At first order in frequency this equation is solved explicitly. The localization length $L_{c}$ (reciprocal of Re($γ$)) is obtained as function of the metric-fluctuation-distance $ΔR$ (function of disorder) and the frequency $ω$ of the wave. Explicitly, low-frequencies propagate longer than high, that is $L_{c}ω^{2}=C^{te}$. Direct applications with cosmological quantities like background radiation microwave ($λ\sim 1/2\times 10^{-3}$ [m]) and the Universe-length (`localization length' $L_{c}\sim 1.6\times 10^{25}$ [m]) permits to evaluate the metric-fluctuations-distance as $ΔR\sim 10^{-35}$ [m], a number at order of the Planck's length. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0501012 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0501012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35167 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Anderson's localization in a random metric: applications to cosmology | |
| dc.type | text |