Modeling of Solar System as a Miniature Version of Spiral Galaxy

Abstract

The fractality of the TGD Universe motivates a model for planetary systems as miniature version of the model of spiral galaxy. The first two key elements are many-sheeted space-time, the notion of magnetic flux tubes - both monopole flux tubes and gravitational flux tubes without monopole flux - and the identification of dark matter as phases of ordinary matter labeled by effective Planck constant h_eff = n x h₀ (h = 6h₀ is a good guess). Also the TGD generalization of Nottale's model for planetary system as analog of Bohr atom is in key role. A further key aspect is the prediction of twistor lift of TGD that cosmological constant is length scale dependent and characterizes various systems. I did not originally end up with this model from general considerations. The first input were the problems related to the collision and accretion models for the formation of planets - TGD could replace these with quantal model. The discovery of "too" heavy blackholes and neutron stars by LIGO suggesting that TGD view about the formation of also planets could provide understanding about the role of angular momentum. There are also problems related to the understanding of the entire planetary system: the dramatic difference between terrestrial and giant planets is not really understood. The problematic aspects of the Bohr orbit model together with the poorly understood differences between terrestrial and giant planets lead to a proposal that phase transition increasing the ħ_gr by factor 5 and accompanying a transition reducing the length scale dependent cosmological constant Λ could have scaled up the orbital radii of former inner planets. The transition could have also scaled up the radii of the former inner planets so that they became giant planets.