El Naschie, M.S. (2018) From the Logical Foundation and the Derivation of E=(mc^{2/22)+(mc2(21/22))=mc2 to the Fractal Nature of Reality. International Journal of Applied Science and Mathematics, 5, 1-2.}

has been cited by the following article:

• TITLE: From Nikolay Umov E=kmc2 via Albert Einstein’s E=γmc2 to the Dark Energy Density of the Cosmos E=(21/22)mc2

  AUTHORS: Mohamed S. El Naschie

  KEYWORDS: N. Umov Energy, A. Einstein Energy, El Naschie Energy, Ordinary Cosmic Energy, Cosmic Dark Energy, F. Hasenöhrl’s Electromagnetic Energy, H. Poincaré History of Special Relativity

  JOURNAL NAME: World Journal of Mechanics, Vol.8 No.4, April 3, 2018

  ABSTRACT: The paper starts from the remarkable classical equation of the great nineteenth century Russian physicist Nikolay Umov E=kmc2 where 1/2≤k≤1, m is the mass, c is the speed of light and E is the equivalent energy of m. After a short but deep discussion of the derivation of Umov we move to Einstein’s formula E=γmc2where γ is the Lorentz factor of special relativity and point out the interesting difference and similarity between Umov’s k and Lorentz-Einstein γ. This is particularly considered in depth for the special case which leads to the famous equationE=mc2that is interpreted here to be the maximal cosmic energy density possible. Subsequently we discuss the dissection of E=mc2 into two components, namely the cosmic dark energy density E(D)=(21/22)MC2 and the ordinary energy density E(O)=MC2/22 whereE(D)+E(O)=MC2. Finally we move from this to the three-part dissection where we show that E is simply the sum of pure dark energy E(PD) plus dark matter energy E(DM) as well as ordinary energy E(O).