![A universal resolution limit](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
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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
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Publisher Description
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