And Light Speed Has A Pulse...

From the post "Just When You Think c Is The Last Constant" dated 26 Jun 2016,

$c=\sqrt { \cfrac { 38.5*(32\pi ^{ 4 }-1) }{ 64*3.135009*\pi .ln(cosh(3.135009))tanh(3.135009) }  *\left( \cfrac {3.135009}{ 0.7369 }  \right) ^{ 3 }}$

Since,

$\left( \cfrac { 3.135009 }{ 0.7369 }  \right) ^{ 3 }=77$

$c=\sqrt { \cfrac { \frac { 77^{ 2 } }{ 2 } *(32\pi ^{ 4 }-1) }{ 64*3.135009*\pi .ln(cosh(3.135009))tanh(3.135009) }  }$

We generalize the above expression,

$c=n\sqrt { \cfrac {(32\pi ^{ 4 }-1) }{ 128\pi\theta_{\psi}ln(cosh(\theta_{\psi}))tanh(\theta_{\psi}) }  }$

where given $n$, $\theta_{\psi}$ is fixed.

$n.a^3_{\psi\,c}=a^3_{\psi}$

as $n$ basic particles reform into one particle, a sphere of radius $a_{\psi}$.

$a_{\psi}=\sqrt [  3]{n  }.a_{\psi\,c}$

and

$\theta_{\psi}=\cfrac{G}{\sqrt{2mc^2}}a_{\psi}=\cfrac{a_{\psi\,c} G}{\sqrt{2mc^2}}\sqrt [  3]{n  }$

$G$ is not the gravitational constant, it is still unknown.

We have,

$\left(\cfrac{c}{n}\right)^2=\cfrac {(32\pi ^{ 4 }-1) }{ 128\pi\theta_{\psi}ln(cosh(\theta_{\psi}))tanh(\theta_{\psi}) }$

where $\theta_{\psi}$ is proportional to $\sqrt [  3]{n  }$

A plot of xln(cosh(x))tanh(x) gives,

and a plot of 1/(xln(cosh(x))tanh(x)) and 3/x^2 gives,

Both curves coincide only at $x=1$.  In the expression for $c$, $c$ is not a constant but changes with $n$.  It is an expression for $c$ that is valid only at the point $n=77$ with the assumption that,  

$\theta_{\psi}=\cfrac{G}{\sqrt{2mc^2}}a_{\psi}\approx\pi$

which delimits the particle size to be less than or equal to,

$\theta_{\psi}=\cfrac{G}{\sqrt{2mc^2}}a_{\psi}=\pi$

$n=77$ is not a more fundamental constant, changing $n$ does not change $c$ in reality, but changes the magnitude of the charge.

And light speed has a pulse...