منابع مشابه
Black Holes, Bandwidths and Beethoven
It is usually believed that a function φ(t) whose Fourier spectrum is bounded can vary at most as fast as its highest frequency component ωmax. This is in fact not the case, as Aharonov, Berry and others drastically demonstrated with explicit counter examples, so-called superoscillations. It has been claimed that even the recording of an entire Beethoven symphony can occur as part of a signal w...
متن کاملv 2 3 N ov 1 99 9 Black Holes , Bandwidths and Beethoven Achim
It is usually believed that a function φ(t) whose Fourier spectrum is bounded can vary at most as fast as its highest frequency component ωmax. This is in fact not the case, as Aharonov, Berry and others drastically demonstrated with explicit counter examples, so-called superoscillations. It has been claimed that even the recording of an entire Beethoven symphony can occur as part of a signal w...
متن کاملiv : g r - qc / 9 90 70 84 v 1 2 6 Ju l 1 99 9 Black Holes , Bandwidths and Beethoven
It is usually believed that a function φ(t) whose Fourier spectrum is bounded can vary at most as fast as its highest frequency component ωmax. This is in fact not the case, as Aharonov, Berry and others drastically demonstrated with explicit counter examples, so-called superoscillations. The claim is that even the recording of an entire Beethoven symphony can occur as part of a signal with 1Hz...
متن کاملDirty Black Holes and Hairy Black Holes.
An approach based on considerations of the non-classical energy momentum tensor outside the event horizon of a black hole provides additional physical insight into the nature of discrete quantum hair on black holes and its effect on black hole temperature. Our analysis both extends previous work based on the Euclidean action techniques, and corrects an omission in that work. We also raise sever...
متن کاملMacroscopic Black Holes, Microscopic Black Holes and Noncommutative Membrane
We study the stretched membrane of a black hole as consisting of a perfect fluid. We find that the pressure of this fluid is negative and the specific heat is negative too. A surprising result is that if we are to assume the fluid be composed of some quanta, then the dispersion relation of the fundamental quantum is E = m/k, with m at the scale of the Planck mass. There are two possible interpr...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2000
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.533244