Wissenschaftlicher Aufsatz aus dem Jahr 2008 im Fachbereich Physik - Theoretische Physik, Technische Universität Berlin, Sprache: Deutsch, Abstract: According to recent progress in high resolved fluorescence microscopy literature presents relations for the spatial resolution limit with an infinite resolution of fluorescing pigments. We show that similar relations would also be found for the time resolution. According to information theory the resolution is limited by the capacity of the employed computer system. Therefore an infinite resolution is not possible although fluorescence spectroscopy might be still far away from the principal lower bound of resolution for arbitrary big and arbitrary stable systems.
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 DO is the same like a variance of the probability D for measuring O : DO = D * O . Implications of these findings are shortly discussed.
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