Oral Presentation

Formation of hierarchical stellar systems modeled by Momentum on Complex plane in conjunction with Nonlinear Relativity

Author(s): David Ni (Direxion Technology)

Presenter: David Ni (Direxion Technology)

The mechanisms and efficiencies of the formation of stellar systems are currently under extensive studies. Mechanisms, such as magnetism, turbulence, self-gravity, out flow, supersonic random motions and so on are included in the numerical simulations with others such as rotations with hierarchical fragmentation of a collapsing gas cloud. These mechanisms are combined and generalized to so-called magnetohydrodynamic (MHD) models, which, however, are still striving to produce stellar systems, such as our own solar system.

In this study, we simplify the MHD models to the momentum models by treating magnetism as one of momentums in addition to linear and angular momentum. Inspired by the electronic spin-orbit model, we further construct two types of magnetism momentum with one represents local rotation and the other represents global or large-scale rotation.

These momentums are then projected onto the normalized complex plane in conjunction with exponential and trigonometry functions and subsequently transformed or mapped to the result domain (a second complex plane) by mathematical form of extended Blaschke product, which representing nonlinear special relativity, therein the mutual couplings among these momentums are automatically performed via complex coordinates and numbers in the process of transformations.

The results of momentum simulations demonstrate the formation of hierarchical stellar systems, which showing good approximation to our solar system under linear-angular-magnetism momentum setting. Depending on nonlinearity, we classify the efficient regions of system formation in the context of strength of local and global rotations

We have also observed bifurcation and chaos patterns, which are different from conventional bifurcation diagrams. This observation is expected to address the rationale of turbulences as one of key mechanisms of the formation of stellar systems.