What is Planck length?
The Planck length is a fundamental physical constant that represents a scale at which classical ideas about gravity and space-time cease to be valid, and quantum effects become significant. It is defined in terms of three fundamental constants: the speed of light in a vacuum (c), the gravitational constant (G), and the reduced Planck constant (ħ).
The formula for the Planck length (\(L_P\)) is given by:
\[
L_P = \sqrt{\frac{\hbar G}{c^3}}
\]
Where:
- \(\hbar\) (reduced Planck constant) is approximately \(1.055 \times 10^{-34} \, \text{Js}\),
- \(G\) (gravitational constant) is approximately \(6.674 \times 10^{-11} \, \text{m}^3 \text{kg}^{-1} \text{s}^{-2}\),
- \(c\) (speed of light) is approximately \(3.00 \times 10^8 \, \text{m/s}\).
When calculated, the Planck length is approximately \(1.616 \times 10^{-35}\) meters. This length is considered the smallest meaningful length scale in physics and is often thought of as the "quantum scale" of space-time, where the effects of quantum gravity become important, and our current understanding of physics may need to be revised.