Conformal E-infinity theory, exceptional Lie groups and the elementary particle content of the standard model

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• 作者：M.S. El Naschie
• 关键词：Cosmic-ray proton ; Cosmic-ray helium ; Atmospheric proton ; Solar modulation ; Superconducting spectrometer
• 刊名：Chaos, Solitons and Fractals
• 出版年：2008
• 出版时间：January 2008
• 年：2008
• 卷：35
• 期：2
• 页码：216-219
• 全文大小：114 K

文摘

We begin with Klein’s original modular space Γ(7) for which

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Subsequent compactification

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and conformal transformation leads to

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We observe that this result is identical to summing over all dimensions of the exceptional Lie symmetry groups hierarchy G₂, F₄, E₆, E₇ and E₈ and adding A₁, A₂ and the standard model SM gauge boson to the result. That means

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and therefore

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This result is a neat confirmation of the basic group theoretical assumptions of the standard model, namely encedirect.com/scidirimg/entities/2223.gif"" alt=""mid"" border=0>SU(3) SU(2) U(1)encedirect.com/scidirimg/entities/2223.gif"" alt=""mid"" border=0> = 12 as well as our previous expectation number of the elementary particles in an extended standard model:

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particles.