Schmitt A universal resolution limit

'The lower bound on the energy for bounded systems is equivalent to the Bekenstein upper bound on the entropy to energy ration for bounded systems
1. Auflage 2010
ISBN: 978-3-640-76192-0
Verlag: GRIN Publishing
Format: EPUB
Kopierschutz: 0 - No protection

E-Book, Englisch, 4 Seiten

Scientific Essay from the year 2009 in the subject Physics - Theoretical Physics, Technical University of Berlin, language: English, abstract: Several approaches can be used to proof the assumption that an universal upper bound on the entropy to energy ratio (S/E) exists in bounded systems. In 1981 Jacob D. Bekenstein published his findings that S/E is limited by the 'effective radius' of the system and mentioned various approaches to derive S/E employing quantum statistics or thermodynamics. It can be shown that similar results are obtained considering the energetic difference of longitudinal eigenmodes inside a closed cavity like it was done by Max Planck in 1900 to derive the correct formula for the spectral distribution of the black-body radiation. Considering an information theoretical approach this derivation suggests that the variance of an expectation value D is the same like a variance of the probability D for measuring O : D = D * . Implications of these findings are shortly discussed.

Autoren/Hrsg.

Schmitt, Franz-Josef