Unified gravitational and Yang-Mills fields

Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups

“…In [6][7][8][9][10][11][12][13], we replaced (1) by the requirement that the transformation coefficients will satisfy the weaker condition…”

“…In [6][7][8][9][10][11][12][13] we used the conservation group as the covariance group for a geometrical theory which unifies the gravitational and electroweak fields, which are mediated by bosons. This theory, however, fails to completely unify the gravitational and electroweak interactions, because it does not include the neutrinos, which are fermions.…”

“…We note that if (9) is satisfied, then (10) is satisfied; that is, the super-conservation group contains the superdiffeomorphisms as a subgroup. Thus, to show that it contains the super-diffeomorphisms as a proper subgroup, we need only to exhibit transformation coefficients which satisfy (10), but do not satisfy (9). Such transformation coefficients are the same as those in (7).…”

“…Hence, in this case, the exponents and in (9) and (10) are even numbers. Thus, for the transformation coefficients in (7), (9), and (10) reduce to (1) and (2). We have shown previously in Section 2.2.2 that the transformation coefficients in (7) do not satisfy (1), but satisfy (2).…”

“…The new covariance group is defined by (2) and is called the "conservation group. " In previous physics papers [6][7][8][9][10][11][12][13] we used the conservation group in an attempt to unify the gravitational and electroweak interactions.…”