Combining both results from the post "Where Did The Pound Come From?" dated 15 Jun 2016,
from
\({ q_{ a_{ \psi } } } =i4\pi { \cfrac { \dot { x } }{ a_{ \psi } } mc^{ 2 } }\)
and
\(\cfrac{1}{4\pi a^2_{\psi}}.i4\pi{ \cfrac { \dot { x } }{ a_{ \psi } }Mc^{ 2 } }=G\cfrac{M}{a^2_{\psi}}\)
\(G={ \cfrac { c^{ 3 } }{ a_{ \psi } } }\)
\(F= \cfrac { c^{ 3 } }{ a_{ \psi } }.\cfrac{M}{x^2}\) --- (1)
From,
\({ q_{a_{\psi}} }=2\dot { x }F_{\rho}|_{x}=4\pi GM\)
and
\(F=\cfrac{c^3}{a^2_{\psi}}.\cfrac{M}{x}\) --- (2)
\(G_{l}=\cfrac{c^3}{a^2_{\psi}}\)
At \(a_{\psi}=6371000\) and \(M=5.972e24\), both expression (1) and (2) is the same,
\(g=\cfrac{299792458^3}{6371000^3}*5.972e24\)
\(g=6.222417e29\)
If we divide by the Durian constant considering entanglement,
\(g=\cfrac{6.222417e29}{9.029022e26}=6.891573e2\)
Even if we consider \(g\) as a sinusoidal at frequency of \(7.489 Hz\) and we take the rms value,
\(g_{rms}=\cfrac{6.891573e2}{\sqrt{2}}\)
\(g_{rms}=487.30\)
This is still a large number, given the error in Earth's mass, \(M\).
Note: The unit dimension of the expression for \(F\) is a mess because after the integration the \(tanh(x)\) function carries a unit and is not dimensionless.
