Planck-scale distribution of nodal length of arithmetic random waves
نویسندگان
چکیده
منابع مشابه
Experimental observation of a fundamental length scale of waves in random media.
Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is accompanied by its own fundamental length scale of transport in random media, parametrically different from the mean free path or the localization length. We show num...
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Planck-length Phenomenology
This author's recent proposal of interferometric tests of Planck-scale-related properties of space-time is here revisited from a strictly phenomenological viewpoint. The results announced previously are rederived using elementary dimensional considerations. The dimensional analysis is then extended to the other two classes of experiments (observations of neutral kaons at particle accelerators a...
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We show that an unification of quantum mechanics and general relativity implies that there is a fundamental length in Nature in the sense that no operational procedure would be able to measure distances shorter than the Planck length. Furthermore we give an explicit realization of an old proposal by Anderson and Finkelstein who argued that a fundamental length in nature implies unimodular gravi...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2020
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-020-0114-7