A universal resolution limit (eBook)

'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

Franz-Josef Schmitt (Autor)

eBook Download: PDF | EPUB

2010 | 1. Auflage
4 Seiten
GRIN Verlag
978-3-640-76192-0 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 26.11.2010
• Verlagsort: München
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Technik
• Schlagworte: bekenstein
• ISBN-10: 3-640-76192-8 / 3640761928
• ISBN-13: 978-3-640-76192-0 / 9783640761920