Appendix A - reasons for G being related to gravity

1. Scalar field (G) related energy density can be expressed as:

It's value in the energy density formula is always NEGATIVE!! Also gravity can be interpreted as negative energy density. If so it's very hard to compensate gravity, as the only way to get rid of it is to add the field -G to G. On the other side according to this formula  it should be pretty straightforward to increase mass by adding additional scalar component (once a functional G generator is available).

Note: Alternative approach to achieve direct anti-gravity effect could be  the exploitation of electro-scalar or magneto-scalar energy though.

2. G is mainly caused by div(A), even though it has much smaller part related to electric potential φ (~A0).  Because div(curl(F))=0 for any vector field F, and because of fundamental theory of vector calculus [25] we can write:

Then because  of "Physical interpretation" [23] if G<>0 because Φ must represent fluid which is NOT - non-compressible. It means that the "fluid" represented Φ must be compressible/expandable. The fluid Φ here is indeed scalar wave (see  [1] - but this reference calls Φ by different greek symbol λ instead).

Now try to imagine, what does the term compressible fluid mean in physical world? If I can compress or expand some fluid (e.g. air), first I'm giving it some  potential energy by doing this. If it's an expanded compressible fluid, then the potential energy is NEGATIVE, exactly like with the GRAVITY !!!  You can find more about interpretation of gravity as negative energy density in reference [2]. Now continue with our imagination. If it would be a regular compressible fluid and the particles of the fluid (let's assume their central position in some random moving) would move with respect to the coordinate system (e.g. in direction from origin of the coordinate system in case of expansion). In our imagination the coordinate system itself would not expand. Coordinate system would be only compressed relatively to the particles of the fluid. But scalar wave (Φ or λ) is a scalar valued part of light, and light itself defines,  what is a space-time, or in other words coordinate system in the general theory of relativity. Therefore if the fluid (light) was expanded in space, then the space itself became compressed with the respect to fluid (light) exactly like in the pictures (Fig. 2 and Fig. 3 in reference [26]).

It should be noted that also time dimension changes of scalar wave cause G but this  is very small ... factor 1/c^2).

3. According to special theory of relativity, G causes element dm of mass via Wg in a volume element dV:

absolute value of G should be though quite high in order  to cause any measurable effects (at least of orders 10^4) in sufficient volume. Moreover the signature of dm is quite tricky in it's interpretation. Let's explain.