On the Leech--Conway sphere packing in \(S^{(\infty)}\) space. (Q1419066)
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scientific article; zbMATH DE number 2026967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Leech--Conway sphere packing in \(S^{(\infty)}\) space. |
scientific article; zbMATH DE number 2026967 |
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On the Leech--Conway sphere packing in \(S^{(\infty)}\) space. (English)
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14 January 2004
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The author determines the expectation value of dimensionality of an \(n\)-dimensional sphere using \(n\)-dimensional lattice packing. The procedure is essentially that used by \textit{M. S. El Naschie} [Chaos Solitons Fractals 9, No. 8, 1445--1471 (1998; Zbl 1038.83508)]. However, the confidence in the accuracy of this calculations was improved tremendously by extending the previous calculation which stopped at \(n= 24-48\). The slight increase in \(\langle n\rangle\) shows that the method is converging and that increase beyond the present \(n=48\) will not result in any different conclusions.
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sphere packing
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expectation value
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numerical result
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