When I took physics I learned that cavendish measured the gravitational constant G (a so-called, “non-derivable constant”), by using a torsion balance to measure the attraction of two bodies. However, what exactly(adsbygoogle = window.adsbygoogle || []).push({}); isG? Is it just there to make things "fit" or what? So some time ago I read a paper stating that G can be derived using plank units as a form of the quantum vacuum. Opinions?

[tex]\delta_{ZP} = \frac{m_P}{l^3_P} [/tex] = (2.177 x 10^(-8) kg) / (4.22 x 10^(-105) m^3 = 5.159 x 10^(96) kgm^(-3)

Where [tex]\delta_{ZP}[/tex] = vacuum mass-density equivalent, [tex]m_P[/tex] = Plank mass, and l^3 = [tex]V_P[/tex] (Plank Volume).

By substituting G by the corresponding Plank unites, we get:

G = [tex]\frac{1}{\delta_{ZP} t^2_P} [/tex]= 6.67 x 10^(-11) m^3 kg^(-1) s^(-2) !

Consequently, Newton's equation of gravitation adopts the following form by susbtituting G.

F = [tex]\frac{1}{\delta_{ZP} t^2_P} \frac{m_1 m_2}{d^2}[/tex]

The paper can be found here http://www.journaloftheoretics.com/Articles/4-2/UGC-QE-final.pdf

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# The Gravitational Constant

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