Difference Equations for the Masses of Leptons and Quarks in TeV Quantum Gravity

ISSN： 1023-6198

Source： Journal of Difference Equations and Applications, Vol.8, Iss.1, 2002-01, pp. : 25-32

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

It is shown here that a 3×4 lattice in the wall for TeV quantum gravity with n=2 extra small-scale spatial dimensions can account for the fermion masses in a strikingly accurate manner. The family index, the electromagnetic charge number coupling, and the Yukawa coupling for lepton and quark mass generation in the minimal Standard Model (with a single Higgs) are related here to t' Hooft discreteness in the wall. Discrete values for the two transverse spatial distances in the wall are viewed as geometrical correspondents of the family index and the electromagnetic charge number coupling. The mass spectrum of Dirac leptons and quarks can then be understood as a manifestation of a Yukawa coupling that depends on the transverse wall coordinates. Linear homogeneous difference equations are considered to govern the Yukawa coupling or, more appropriately, the Yukawa field on the wall lattice. The solution to the latter difference equations yields experimentally consistent pole mass values for all twelve leptons and quarks. With the Yukawa field extending through the bulk, mass elevation for the second and third families features the torus radii ratio R₂/R₁=41/10.

Related content

Perturbation of Volterra Difference Equations

By Song Y.

Journal of Difference Equations and Applications, Vol. 10, Iss. 4, 2004-04 ,pp. : 379-397 (19)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Difference Equations and Lettenmeyer's Theorem

By Fitzpatrick W.J. Grimm L.J. Hall L.M.

Journal of Difference Equations and Applications, Vol. 8, Iss. 11, 2002-01 ,pp. : 1053-1060 (8)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Randomness in deterministic difference equations

By Romanenko E.Yu.

Journal of Difference Equations and Applications, Vol. 16, Iss. 2-3, 2010-02 ,pp. : 243-268 (26)

Taylor & Francis Ltd

Access to resources Recommend Favorite

On the characterization of rational difference equations

By Palladino Frank

Journal of Difference Equations and Applications, Vol. 15, Iss. 3, 2009-03 ,pp. : 253-260 (8)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Difference equations with random delay

By Crauel H.

Journal of Difference Equations and Applications, Vol. 15, Iss. 7, 2009-07 ,pp. : 627-647 (21)

Taylor & Francis Ltd

Access to resources Recommend Favorite