Modern physics assume the Planck length is a derived constant

\(l_p=\sqrt{\frac{\hbar G}{c^3}}\)

and that G and \(\hbar\) fundamental constants. totally opposite, G and hbar are composite constants that have caused a cloud carpet over physics, so it has lost logic and now is a mathematical cloud carpet. Yes universal constants, but unnecessarily complex composites where one do not understand deeper meaning before one understand they are composites rooted in stone age mass insight.

The Planck length can be found totally independent of any knowledge of G and hbar.

G and hbar will be expelled from the next revolution in physics. The Planck length and the speed of light is what is truly important. No, we dont even need hbar for any energy calculations.

Finding the Planck Length Independent of Newtons Gravitational Constant and the Planck Constant (first draft written last night, loads of implications)

S radius is the reduced Compton frequency over one Planck second times the Planck length

\begin{equation}

\frac{r_s}{2}=\frac{GM}{c^2}=f_Ct_pl_p=\frac{c}{\bar{\lambda}}\frac{l_p}{c}l_p=\frac{l_p^2}{\bar{\lambda}}

\end{equation}

and we need no knowledge off G or \(\hbar\) to find the Schwarzschild or the reduced Compton frequency, and therefore we can extract the Planck length without any knowledge off G and \(\hbar\).

Some other interesting aspects of the diameter of the God particle

\begin{equation}

l_p=\sqrt{\frac{1}{2}\frac{r_s}{f_C}c}

\end{equation}

\begin{equation}

l_p =\sqrt{\frac{1}{2}r_s\bar{\lambda}}

\end{equation}

No need to know traditional mass sizes, or G or hbar to find \(r_s\) and \(\bar{\lambda}\)