Planck length and the speed of light

[helenk]

How can the Planck length and the speed of light both be universal constants? Will the Planck length change depending on your frame of reference?

:)

 

[rhenretta]

Planck length is based on 3 constants, none of which change due to speed

$$\ell_{p}=\sqrt{\frac{\hbar G}{c^3}$$

Since $$\hbar$$ , G, and c are all constants, Planck length also remains constant