A Standard Model Algebra J. A. de Wet

Abstract

In this note we will present an algebraic derivation of the Standard Model without any appeal to a Langrangian or a strong force to bind the 3 quarks. Instead we will develop a formulation based on the ex-ceptional Lie algebra E6,introduced by Slansky [13],which is an orbifold or Toric variety.Without appealing to a Higgs boson, mass is accommo-dated by relating the orders of the subalgebras of E6 to an entropy or information content in accord with the Holographic Principle [7]. If we agree that quarks were in a 6d Planck space, just after the Big Bang, be-fore combining to form nucleons in 3-space after a huge expansion (with accompanying cooling) then the central contribution is the demonstra-tion that the 6-space blows up to 3d simply by eliminating the complex dimensions.In this way it is not necessary to to postulate a 10d space with 6 ’curled-up ’ dimensions as in String Theory.The Introduction ha