Self-Consistent Quantum-Gravitational Quadrupole Fluctuations

Binder, Bernd (2003) Self-Consistent Quantum-Gravitational Quadrupole Fluctuations.

Abstract

To establish a self-consistent system of mutually
interacting gravitational quadrupoles, a characteristic
number N of quantum masses µ are related to a
characteristic velocity scaling. For this purpose a
critical reference is defined by the flux and flux number
of mass quanta constituting a confining unit field
generating mass m_{G}=Nµ. In the field of m_{G} any
small test mass orbits at unit distance r_{u} with unit
velocity u (human artificial units). The velocity limit
c with angular momentum quantum h is assigned to the
Schwarzschild black hole photon sphere with radius given
by the Compton wavelength. For this quantum mass we find
the constitutional scaling relation N \approx 3m_{G}/µ
\propto (c/u)^5 which indicates a quadrupole exchange.
The corresponding coupling strength can be exactly
related to previous results confirming the quantum mass
µ hidden in the action quantum related at the Planck
scale to the gravitational coupling constant G by
µ^4 G=1. The coupling deficits can be assigned to a
duality of coupling and non-coupling fluxes with 4th
power flux scaling. This fits very well to existing
models assuming a non-gravitating vacuum energy to give a
satisfactory answer to the cosmological constant problem.