First, the essence of a physical theory for a multilevel system is through
coupling different physical laws in different levels by a symmetry-breaking principle,
rather than through a unification using larger symmetry. In astrophysical dynamics,
the symmetry-breaking mechanism and the coupling are achieved by prescribing the
coordinate systemso that the laws of fluid dynamics and heat conductivity are coupled
with gravitational field equations. Another important ingredient in modeling fluid
motion in astrophysics is to use the momentum density field to replace the velocity
field as the state function of cosmic objects. Second, by applying the new symmetrybreaking
mechanism and the new coupled astrophysical dynamics model, we rigorously
prove a basic theorem on blackholes: Assume the validity of the Einstein theory
of general relativity, then black holes are closed, innate and incompressible. Third, we
prove a theorem on structure of universes. Assume the Einstein theory of general relativity,
and the principle of cosmological principle that the universe is homogeneous
and isotropic. Then we show that 1) all universes are bounded, are not originated from
a Big-Bang, and are static; and 2) The topological structure of our Universe can only
be the 3D sphere. Also, thanks to the basic properties of blackholes, we show that our
results on our Universe resolve such fundamental problems as dark matter and dark
energy, redshifts and CMB. Fourth, we believe that the essence of a physical theory for
a multilevel system is through coupling different physical laws in different levels by a
symmetry-breaking principle, rather than through a unification using larger symmetry.
In astrophysical dynamics, the symmetry-breaking mechanism and the coupling
are achieved by prescribing the coordinate system so that the laws of fluid dynamics
and heat conductivity will be established on the 3D space manifold. Another important
ingredient in modeling fluid motion in astrophysics is to use the momentum
density field to replace the velocity field as the state function of cosmic objects. Fifth,
we discovered that both supernovae explosion and AGN jets, as well as many astronomical
phenomena, are due to combined relativistic, magnetic and thermal effects.
The radial temperature gradient causes vertical Bénard convection cells, and the relativistic
viscous force (via electromagnetic, the weak and the strong interactions) gives
rise to an huge explosive radial force near the Schwarzschild radius, leading e.g. to
supernovae explosion and AGN jets.