(adsbygoogle = window.adsbygoogle || []).push({}); Loll's CDT and Assymptotic Safety proven to be directly related.

The interesting part is this one:

7. Lattice

Lattice implementations for gravity in four dimensions have been put forward based on Regge

calculus techniques [27, 28] and causal dynamical triangulations [29]. [...]

Within the causal dynamical triangulation approach, global aspects of quantum space-times

have been assessed in [29].[...] The key result is that the measured effective dimensionality displays a cross-overfrom d ≈ 4 at large scales to d ≈ 2 at small scales of the order of the Planck scale. This behaviourcompares nicely with the cross-over of the graviton anomalous dimension h under the renormalisationgroup (see Sec. 2), and with renormalisation group studies of the spectral dimension (see

[3, 4, 60]). These findings corroborate the claim that asymptotically safe quantum gravity behaves, in an essential way, two-dimensional at short distances.

http://arxiv.org/abs/0810.3675

I don't know Assymptotic Safety, but now, I really feel motivated to study this since it seems to be an effective bridge between the micro CDT world and our macroscopic world.

:rofl: That's A HUGE FINDING!!!!!!!! Great!!!!

PS.: It seems that the Lattice approach is the right one!!! :surprised :surprised

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Convergence of Loll's CDT and Assymptotic Safety.

**Physics Forums | Science Articles, Homework Help, Discussion**