Below is the link to my new paper (6 pages)
http://vixra.org/abs/1608.0068
The Titius-Bode Law Once More
Abstract
We do not reject the mainstream theory of the creation of the Solar System saying that its formation was due to the gravitational collapse of a region within a large molecular cloud about 4.6 Gyr ago. Indeed, the Sun and the outer shells of planets appeared due to such processes.
But applying the Scale-Symmetric Theory (SST), we show that initially there was a modified black hole composed of neutron black holes that due to the inflows of the dark energy, via a supernova (there appeared other stars as well), transformed into the large molecular cloud and next into the Sun and outer shells of planets and dwarf planets.
Moreover, we showed that the initial modified black hole created the planetary rings defined by the Titius-Bode Law (TBL) for the gravitational interactions - they transformed into the seeds of planets – this happened in the a few Gyr old Universe.
The TBL for the gravitational interactions cannot be discredited due to the fact that it does not predict the Neptune orbit. The complete TBL for the nuclear strong interactions described within SST (SST shows that the core of baryons is a modified black hole in respect of the strong interactions), which is an analog to the TBL for the gravitational interactions, leads to an orbit that corresponds to the orbit of the planet Neptune. Both TBLs follow from the virtual processes near modified black holes of the same strength - it is because involved masses in gravitational TBL are about 61 powers of ten times higher than in nuclear-strong TBL.
Deviations from predicted semi-major axes are from -5.6% for Mercury up to +5.3% for Neptune.
According to gravitational TBL derived within SST, there are following planets or (dwarf planets): Mercury, Venus, Earth, Mars, (Ceres), Jupiter, Saturn, Uranus, Neptune and (Pluto) (theory of prime numbers leads to 10 planets/dwarf-planets defined by TBL).
Because of high probability of destruction of the Titius-Bode orbits during the evolution of the modified black holes, the Solar System is unique in the Universe.
Here we calculated the semi-major axes of listed planets/dwarf-planets from the initial conditions (for Earth we obtain 0.971 AU).