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On the vital role played by the electron-volt units system in high energy physics and Mach’s principle of “Denkökonomie”

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  • El Naschie, M.S.

Abstract

The work highlights within the framework of E. Mach’s “Denkökonomie” the crucial role played by the electron-volt unit system in uncovering terce relationships in the various fundamental interactions. In particular it is shown that a great deal of insight and analytical simplicity is gained from the number coincidence between the E(∞) dimensionless inverse fine structure constant α¯0 and the mass of a postulated expectation π-meson 〈mπ〉=(mπ±+mπ0)/2 when measured in Mega-electron-volt. This line of thought could be continued to the k-meson and relate it to the exceptional Lie group of super strings and unification namely E8⊗E8. We show further that 〈mπ〉 could be viewed as a two quark building block relating the old Yukawa theory to an extended quark model based on E-infinity Cantorian spacetime.

Suggested Citation

  • El Naschie, M.S., 2006. "On the vital role played by the electron-volt units system in high energy physics and Mach’s principle of “Denkökonomie”," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1366-1371.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:5:p:1366-1371
    DOI: 10.1016/j.chaos.2005.11.001
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    1. El Naschie, M.S., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
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    Cited by:

    1. He, Ji-Huan & Xu, Lan, 2009. "Number of elementary particles using exceptional Lie symmetry groups hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2119-2124.
    2. El Naschie, M.S., 2009. "BPS states, dualities and determining the mass of elementary particles," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1263-1265.
    3. El-Okaby, Ayman A., 2008. "Exceptional Lie groups, E-infinity theory and Higgs Boson," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1305-1317.
    4. El-Nabulsi, Ahmad Rami, 2009. "Complexified quantum field theory and “mass without mass” from multidimensional fractional actionlike variational approach with dynamical fractional exponents," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2384-2398.

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