Spectral dimension of bosonic string theory

Understand

Given that the scale of quantum gravity is not experimentally accessible, one naturally resorts to mathematical consistency as a measure for a good candidate theory to replace General Relativity at high energies.

• Reproducing the semi-classical results of black hole entropy has become a standard test for any prospective theory of quantum gravity.
• It is often argued that another such commonality, albeit less known, is the similar fractal behaviour.
• It is shown that many, if not all, approaches to quantum gravity predict a spectral dimension of 2 in ultraviolet regime.