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- W2000604977 abstract "A thermodynamical treatment of a massless scalar field (a photon) confined to a fractal spatial manifold leads to an equation of state relating pressure to internal energy, $P V_s=U/d_s$, where $d_s$ is the spectral dimension and $V_s$ defines the spectral volume. For regular manifolds, $V_s$ coincides with the usual geometric spatial volume, but on a fractal this is not necessarily the case. This is further evidence that on a fractal, momentum space can have a different dimension than position space. Our analysis also provides a natural definition of the vacuum (Casimir) energy of a fractal. We suggest ways that these unusual properties might be probed experimentally." @default.
- W2000604977 created "2016-06-24" @default.
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- W2000604977 date "2010-12-03" @default.
- W2000604977 modified "2023-09-23" @default.
- W2000604977 title "Thermodynamics of Photons on Fractals" @default.
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- W2000604977 doi "https://doi.org/10.1103/physrevlett.105.230407" @default.
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