Cosmology constant and quantum mechanics equation based on the
rotational gravitational field
Abstract
In this work, the gravitational field is investigated in detailed and
the quantum mechanics equation under the gravitational field has been
derived. Then, the Schrodinger and Dirac equations are accordantly
solved under the gravitational field condition by separating variables.
As a result, the Rydberg formula is deduced in such conditions, which
proves that the change of the external gravitational field intensity
will cause the overall spectral movement. Obviously, the partial
redshift of quasar spectrum should assign to this effect. Furthermore,
by applying this gravitational field together with the energy and mass
concepts into the symmetry, gravity theory and gauge theory, it is
deduced that the interaction of “gravity” between matter and
anti-matter is repulsive force, which is the originator of the
accelerated expansion phenomenon for dark energy in the universe. It is
found that the calculated cosmological constant is a small variable
related to the radial and angular direction of the universe, and the
“spontaneous breaking of vacuum symmetry” is caused by this
gravitational field. Further, the gravitational field lead to the
non-conservation of weak action parity. The equal number of baryon and
antibaryon as well as the energy conservation in the universe are
confirmed. In this work, the gravitational field is introduced into
quantum theory, which will promote the integrality of the quantum
mechanics, and explain the dark energy phenomenon constitutionally. This
study will push the astrophysical theory and the gauge theory of
particle physics for the further study of energy level, basic particle
structure, and quantum gravity theory.