Author(s)

Mohamed S. El Naschie

Department of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt.

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=γmc² where 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 equation E=mc² that 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  where E(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).

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

El Naschie, M. (2018) From Nikolay Umov E=kmc² via Albert Einstein’s E=γmc² to the Dark Energy Density of the Cosmos E=(21/22)mc². World Journal of Mechanics, 8, 73-81. doi: 10.4236/wjm.2018.84006.