Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Casimir energy of Sierpinski triangles   Using scaling arguments and the property of self-similarity we derive the
Casimir energies of Sierpinski triangles and Sierpinski rectangles. The
Hausdorff-Besicovitch dimension (fractal dimension) of the Casimir energy is
introduced and the Berry-Weyl conjecture is discussed for these geometries. We
propose that for a class of fractals, comprising of compartmentalized cavities,
it is possible to establish a finite value to the Casimir energy even while the
Casimir energy of the individual cavities consists of divergent terms.

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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
2
The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: adap-org