TY - JOUR

T1 - Relations between the quantum eigenvalue m and transition rates of charged particles held in gravitational eigenstates in nonrelativistic regions of deep gravitational wells

AU - Bonham, M. J.

AU - Ernest, A. D.

AU - Collins, M. P.

N1 - Publisher Copyright:
© 2021, Pleiades Publishing, Inc.

PY - 2021/7

Y1 - 2021/7

N2 - This paper continues an ongoing investigation into the theoretical
behavior of charged particles held in gravitational eigenstates in
nonrelativistic regions of deep gravitational wells. Previous
theoretical studies have shown that gravitational eigenstates in deep
gravitational wells can exhibit extremely small interaction
cross-sections and lifetimes which exceed the age of the universe as a
result of the composition of the eigenspectrum of their wave functions.
Particles in gravitational eigenstates could provide an explanation for
the source of dark matter without the need to resort to exotic particles
or exotic physics. However, the development of the theory of
gravitational eigenstates is challenging due to the extreme scale of
quantum eigenvalues involved. Recent research has sought empirical
trends for state-to-state transition rates and lifetimes of
gravitational eigenstates to extrapolate computationally practical
calculations to galactic scales. In earlier studies, support was found
for decreasing interaction cross-sections with increasing quantum
eigenvalues n and l, however, the initial quantum eigenvalue m was set to zero, and only the Δm=0 decay channel was calculated [1]. This paper explores how different values of m and Δm affect state-to-state transition rates and state lifetimes. It is demonstrated that the sum of all possible Δm decay channels is constant for all m. It was found that the Δm=0 decay channel represents the greatest state-to-state transition rate when m=0. This paper shows that a maximum constraint on state-to-state transition rate for m=0 can be achieved through only evaluating the Δm=0 decay channel.

AB - This paper continues an ongoing investigation into the theoretical
behavior of charged particles held in gravitational eigenstates in
nonrelativistic regions of deep gravitational wells. Previous
theoretical studies have shown that gravitational eigenstates in deep
gravitational wells can exhibit extremely small interaction
cross-sections and lifetimes which exceed the age of the universe as a
result of the composition of the eigenspectrum of their wave functions.
Particles in gravitational eigenstates could provide an explanation for
the source of dark matter without the need to resort to exotic particles
or exotic physics. However, the development of the theory of
gravitational eigenstates is challenging due to the extreme scale of
quantum eigenvalues involved. Recent research has sought empirical
trends for state-to-state transition rates and lifetimes of
gravitational eigenstates to extrapolate computationally practical
calculations to galactic scales. In earlier studies, support was found
for decreasing interaction cross-sections with increasing quantum
eigenvalues n and l, however, the initial quantum eigenvalue m was set to zero, and only the Δm=0 decay channel was calculated [1]. This paper explores how different values of m and Δm affect state-to-state transition rates and state lifetimes. It is demonstrated that the sum of all possible Δm decay channels is constant for all m. It was found that the Δm=0 decay channel represents the greatest state-to-state transition rate when m=0. This paper shows that a maximum constraint on state-to-state transition rate for m=0 can be achieved through only evaluating the Δm=0 decay channel.

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U2 - 10.1134/S0202289321030051

DO - 10.1134/S0202289321030051

M3 - Article

AN - SCOPUS:85114995903

VL - 27

SP - 275

EP - 280

JO - Gravitation and Cosmology

JF - Gravitation and Cosmology

SN - 0202-2893

IS - 3

ER -