And Gravity Is Five Hundred!

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.