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.
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