Hořava's quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using
traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been …

A number of very different approaches to quantum gravity contain a common thread, a hint
that spacetime at very short distances becomes effectively two dimensional. I review this …

Results from a number of different approaches to quantum gravity suggest that the effective
dimension of spacetime may drop to d= 2 at small scales. I show that two different …

We show that the Lorentzian Snyder models, together with their Galilei and Carroll limiting
cases, can be rigorously constructed through the projective geometry description of …

If gravity is asymptotically safe, operators will exhibit anomalous scaling at the ultraviolet
fixed point in a way that makes the theory effectively two-dimensional. A number of …

We discuss the effects of the recent proposed Generalized Uncertainty Principle (GUP)(
Perivolaropoulos, 2017), which includes a maximum length on the thermostatistics of an …

We study the propagation of quantum fields on κ-Minkowsi spacetime. Starting from the
noncommutative partition function for a free field written in momentum space, we derive the …

Hints from a number of different approaches to quantum gravity point to a phenomenon of
“spontaneous dimensional reduction” to two spacetime dimensions near the Planck scale. I …

The asymptotic safety program builds on a high-energy completion of gravity based on the
Reuter fixed point, a non-trivial fixed point of the gravitational renormalization group flow. At …

Recent results suggest that a crucial crossroad for quantum gravity is the characterization of
the effective dimension of spacetime at short distances, where quantum properties of …