## Chapter 10

THE EQUATION OF MOTION FOR THE WG ORIGINAL PARTICLE

Since the WG original particle possesses mass mW= 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

Fμν = μ Aν - ∂νAμ

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

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

(□ – 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”.