New Transformation Equations and the Electric Field Four-vector

The energy density tensor as described in Eqs. (21) of "Original Article: May 7, 1999" on this website should be

where c = 1, as usual, and the third subscript is sigma, not zero. Referring to Eq. (3) of "Additions: July 4, 1999"

and setting we get for the energy density associated with the mass, m,

where, , is the charge density. Using this result, we now find the components of the conventional energy density tensor, , to be

Just as in the force law, Eqs.(1) of "Additions: July 4, 1999",

we can also say that

and