

Positive mass theorem for asymptocially hyperbolic manifolds
By Lan-Hsuan Huang


Generalised spectral dimensions in non-perturbative quantum gravity
By Marcus Reitz
By Jan Ambjorn
Appears in collection : 2023 - T1A - WS1 - Quantum gravity and random geometry
CDT might define a quantum theory of gravity, but how one can locate the asymptotic safety UV fixed point is still unclear. However, so-called generalized CDT models, which allow for baby universe creation, make it possible to conjecture how quantum corrections can influence late time cosmology. The quantum corrections lead to a modified Friedmann equation which does not involve a cosmological constant but nevertheless results in a late time exponential expansion of the universe and in addition solves the Hubble constant tension.