quantum loop gravity

Basic idea

A background-independent quantisation of general relativity. Space itself is granular at the Planck scale: area and volume have discrete spectra.

Key formulas

• Wheeler-DeWitt equation: $\hat H \Psi = 0$
• Area operator eigenvalues: $A = 8\pi\gamma\ell_P^2 \sum_i \sqrt{j_i(j_i+1)}$ (Immirzi parameter $\gamma$)
• Planck length: $\ell_P = \sqrt{\hbar G/c^3}$

Pages

• Quantum Loop Gravity

Siblings

• loop quantum gravity
• quantum physics
• relativity
• string theory