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Time scales and existence of time holes in non-transparent media

Please always quote using this URN: urn:nbn:de:bvb:20-opus-73554
  • The analysis presented in this paper applies to experimental situations where observers or objects to be studied, all at stationary positions, are located in environments the optical thickness of which is strongly different. Non-transparent media comprise thin metallic films, packed or fluidised beds, superconductors, the Earth’s crust, and even dark clouds and other cosmological objects. The analysis applies mapping functions that correlate physical events, e, in non-transparent media, with their images, f(e), tentatively located on standardThe analysis presented in this paper applies to experimental situations where observers or objects to be studied, all at stationary positions, are located in environments the optical thickness of which is strongly different. Non-transparent media comprise thin metallic films, packed or fluidised beds, superconductors, the Earth’s crust, and even dark clouds and other cosmological objects. The analysis applies mapping functions that correlate physical events, e, in non-transparent media, with their images, f(e), tentatively located on standard physical time scale. The analysis demonstrates, however, that physical time, in its rigorous sense, does not exist under non-transparency conditions. A proof of this conclusion is attempted in three steps: i) the theorem “there is no time without space and events” is accepted, (ii) images f[e(s,t)] do not constitute a dense, uncountably infinite set, and (iii) sets of images that are not uncountably infinite do not create physical time but only time-like sequences. As a consequence, mapping f[e(s,t)] in non-transparent space does not create physical analogues to the mathematical structure of the ordered, dense half-set R+ of real numbers, and reverse mapping, f-1f[e(s,t)], the mathematical inverse problem, would not allow unique identification and reconstruction of original events from their images. In these cases, causality as well as invariance of physical processes under time reversal, might be violated. An interesting problem is whether temporal cloaking (a time hole) in a transparent medium, as very recently reported in the literature, can be explained by the present analysis. Existence of time holes could perhaps be possible, not in transparent but in non-transparent media, as follows from the sequence of images, f[e(s,t)], that is not uncountably infinite, in contrast to R+. Impacts are expected for understanding physical diffusion-like, radiative transfer processes and stability models to protect superconductors against quenchs. There might be impacts also in relativity, quantum mechanics, nuclear decay, or in systems close to their phase transitions. The analysis is not restricted to objects of laboratory dimensions.show moreshow less

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Metadaten
Author: Harald Reiss
URN:urn:nbn:de:bvb:20-opus-73554
Document Type:Preprint
Faculties:Fakultät für Physik und Astronomie / Physikalisches Institut
Language:English
Year of Completion:2012
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
GND Keyword:Zeitrichtung; Strahlungstransport; Supraleiter
Tag:Inverse Probleme; Nicht-Transparente Medien; Physikalische Zeit
Monte Carlo simulation; Time hole; mapping function
PACS-Classification:00.00.00 GENERAL / 06.00.00 Metrology, measurements, and laboratory procedures (for laser applications in metrology, see 42.62.Eh) / 06.30.-k Measurements common to several branches of physics and astronomy / 06.30.Ft Time and frequency
Release Date:2012/11/12
Note:
Überarbeitung des Artikels urn:nbn:de:bvb:20-opus-67268
Licence (German):License LogoCC BY-NC-ND: Creative-Commons-Lizenz: Namensnennung, Nicht kommerziell, Keine Bearbeitung