5.1 Gravity of the Mass Point

5.1.1 Basic relations

We came to conclusion, in chapter 4.9, that the mass of the mass particle is proportional to the flow of space into it. Admitting the existence of the flow of the space into a singularity, we can explain the gravitational acceleration by means of this flow, being accelerated on its way to the mass particle.

Travelling in a reference frame X together with its spacetime structure into the mass particle M, situated in a reference frame M, the observer can detect the speed vm/x (or vxm , emphasizing that it is the galileian projection of the speed vx/m ) of the mass particle M moving in a direction opposite to the speed vx/m of the frame X(or to the flow of the space) moving with reference to the mass particle.

Fig.8 The spaceflow speed in a gravitational field image

The spacetime density of the own frame (or, the frame intrinsic spacetime density) must be detected the same in all reference frames, as discussed in chapter 2. Travelling together with the flow of space, the observer in frame X detects the spaceflow as
equation (101)
equation (102)
where rx
stands for the distance MX (between the gravitational singularity point M and the falling orbital area X), in units of the X frame, as if the globe defined by the centre point M and radius rx was filled in by the space of constant space density, the same as on the spherical area of the radius rx ,
and Q
stands for the flow of the space into a singularity M.

The spacetime structure falling into a singularity

Evidently must be Q = const, defined by a quantity of the mass in the mass point, if we take spaceflow as the flow of the basic (preferred) reference frame spacetime structure, because there is no reason to expect that the flow of the spacetime structure may increase, or decrease on its way into singularity. In case, however, when Q is constant, the speed vm/x, representing the movement of the mass point with respect to frame X -connected with spacetime structure, will have to be constant too, because change of speed vm/x would cause change of the flow of the space (see equation (36)). Consequently, the radius rx must be constant too (see equation 101). This consequence, ridiculous at first sight, can be explained very simply, by means of change of the space density, as shown on Fig.9.

This is why we may say, that, travelling together with the spacetime structure into a mass singularity, we are detecting constant speed vm/x, constant radius rx, and, of course, constant spacetime density as well.