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# 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: $\ell\_P = \sqrt{\hbar G/c^3}$