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Several approaches were used to proof the assumption that an universal upperbound on the entropy to energy ratio (S/E) exists in bounded systems. In 1981Jacob D. Bekenstein published his findings that S/E is limited by the effectiveradius of the system and mentioned various approaches to derive S/E employingquantum statistics or thermodynamics. It can be shown that similar results areobtained considering the energetic difference of longitudinal eigenmodes insidea closed cavity like it was done by Max Planck in 1900 to derive the correctformula for the spectral distribution of the black-body radiation. Consideringan information theoretical approach this derivation suggests that the varianceof an expectation value is the same like the variance of the probability formeasuring this expectation value. Implications of these findings are shortlydiscussed.

The lower bound on the energy for bounded systems is equivalent to the Bekenstein upper bound on the entropy to energy ratio for bounded systems