What is the Significance of the Planck Length-to-Mass Ratio in Quantum Physics?

[delplace]

does anyone know something about the ratio of Planck length to Planck mass : signification, use in quantum relationships...

 

[Vanadium 50]

The Planck length is: \sqrt{\frac{\hbar G}{c^3}}

and the Planck mass is: \sqrt{\frac{\hbar c}{G}}

The ratio is therefore G/c^{2}. Since there is no \hbar, it will not appear in "quantum relationships".

 

[malawi_glenn]

Is this post also just for "testing us"? To see if we are worth your time?

 

[Orion1]

The Planck length is: \sqrt{\frac{\hbar G}{c^2}}

Negative, that equation is incorrect.

Planck length:
\ell_P = \sqrt\frac{\hbar G}{c^3}
[/Color]
Reference:
http://en.wikipedia.org/wiki/Planck_length"

 

[Vanadium 50]

Typo fixed. The point that hbar divides out, though, is unaffected.

 

[Redbelly98]

At least nobody is asking for Planck length divided by Planck time ...

 

[malawi_glenn]

Planck colour divided by Planck field then?