Chapter 10

THE EQUATION OF MOTION FOR THE WG ORIGINAL PARTICLE  

    Since the WG original particle possesses mass m_W= 3.6 x 10^-45 kg, we can use the Lagrangian of generalized Maxwell electromagnetic field to describe this mass.

                    (10-1)

It is worth mentioning that the term  in (10-1) violates U (1) gauge invariant. There exists an essential difference between Lagrangian (10-1) and that in the Maxwellian theory. Making use of the Euler- Lagrange equation

                        (10-2)

       We get the basic equation for the WG original particle

  ;     (10-3)  

Using the definition of field intensity

      F_{μν =} ∂_μ A_ν - ∂_νA_μ

      A_μ=(ψ,A)                                          (10-.4)

    Under the Lorentz gauge, the equation of motion for WG original particle can be expressed in terms of electromagnetic potential A_μ. 

       (□ – μ²) A  = 0

       (□ – μ²) ψ  = 0            (10-.5)

 For static WG, equation reduces to 

                   (10-.6) 

      Therefore the Green function of WG equation, i.e. the responsive function of a point source G (r-r’) satisfies the following equation

            (10-7)

  G =   (10-8)

       If the origin of the coordinate is put on the source point, the static potential can be rewritten

                    (10-9)

      Where g is a quantity, characterizing the strength of field intensity. The static field intensity is                                                                    `          `                                                              (10-10)

Where (μ r) is a dimensionless quantity, and δ<1. Assuming WG original particle cannot drag the “WG ether” too strongly, this means g=0. In the following I will mainly put forward the gravitational effect of “WG”.