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\title{Cosmology constant and quantum~ mechanics equation based on the
rotational gravitational field~~~~~~~~~~~}



\author[1]{Fanzhi Meng}%
\affil[1]{Inner Mongolia University}%


\vspace{-1em}



  
  \date{May 08, 2026}


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\begin{abstract}\selectlanguage{ngerman}
{}{This research examines the gravitational field in detail and derives
the quantum mechanics equation under the influence of gravity.
Subsequently, the Schrödinger and Dirac equations are solved by
separating variables in the presence of the gravitational field.
Consequently, the Rydberg equation is deduced under these conditions,
providing evidence that variations in the external gravitational field
intensity lead to spectral shifts. This effect can explain the partial
redshift observed in quasar spectra. Moreover, it suggests the existence
of distinct quantum regions within the universe. The structural
characteristics of dark matter are also determined. Furthermore, by
incorporating the gravitational field, energy-mass concepts, symmetry,
gravity theory, and gauge theory, it is deduced that the interaction
between matter and antimatter is a repulsive force referred to as
``gravity.'' This repulsive force serves as the driving factor behind
the accelerated expansion phenomenon known as dark energy in the
universe. The calculated cosmological constant is found to be a small
variable associated with the radial}{and angular}directions of the
universe. Additionally, the ``spontaneous breaking of vacuum symmetry''
is attributed to the gravitational field. Furthermore, the gravitational
field leads to the non-conservation of weak action parity. The study
also confirms the equal number of baryons and antibaryons, as well as
energy conservation, in the universe. By introducing the gravitational
field into quantum theory, this research enhances the comprehensiveness
of quantum mechanics and provides a constitutional explanation for the
phenomenon of dark energy. This study contributes to a better
understanding of the gravitational field, vacuum, and vacuum state.
Additionally, it advances astrophysical theory and gauge theory in
particle physics, enabling further exploration of energy levels,
fundamental particle structure, and quantum gravity theory.%
\end{abstract}\selectlanguage{ngerman}%



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