loop quantum gravity

Basic idea

Background-independent quantisation of general relativity. Spacetime geometry is described by spin networks; area and volume operators have discrete eigenvalues. See also quantum_loop_gravity — same topic under an alternate name.

Key formulas

• Wheeler-DeWitt equation: $\hat H \Psi = 0$
• Holonomy: $h_e[A] = \mathcal{P}\exp\!\left(\int_e A\right)$
• Area eigenvalues: $A = 8\pi\gamma\ell_P^2 \sum_i \sqrt{j_i(j_i+1)}$
• Volume eigenvalues: discrete spectrum at vertices of the spin network.

Pages

• Loop Quantum Gravity

Siblings

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