Dear Sergey,
Thank you for the references and information.
The reference to CTG that you give reads: "According to the axioms of CTG the source of the gravitational field is the mass 4-current J^i , and the field itself is characterized by the 4-potential". This confirms my previous post on that this is an approximation to the field theory of gravity mentioned in my essay. In FTG, the source of the gravitational potential is the generalized stress-energy tensor \Theta^ab. In a first approximation \Theta^ab --> T^ab, applying an additional gravitomagnetic approximation, T^ab --> T^0i = cJ^i; T^ji = 0, we recover the field equations for the 4-potential.
If Strong gravity is obtained by substituting the gravitational constant. How does the resulting Lagrangian reproduce the kinetic term of the QCD Lagrangian? What part is associated to the gauge invariant gluonic field strength tensor?
Yes, v' is the velocity of the source. The solution to the 4/3 problem of electromagnetism is given in the Phys.Rev.E paper cited above. The paper "Modified Newtonian Dynamics and Dark Matter from a Generalized Gravitational Theory" only applies the equation of motion (with the new gravitational potentials that correspond to the new electromagnetic potentials in Phys.Rev.E) to astrophysical phenomena, showing that dark matter is unneeded. Repeating the same analysis in the Phys.Rev.E we can eliminate the 4/3 problem from gravitational fields as well.
Regards