Abstract
The most common scenario regards to quantum gravity is how gravity can be quantized? This facilitates a peculiar problem of ultraviolet divergences that has been shown in [1] in Einstein – Hilbert action that from loop (2) onwards in the \(\Gamma_{k\longrightarrow\infty}^{\left(2\right)}\) where there are unperturbed actions where divergences are so nasty that one needs a correction and thus this has to be cut off using \(\Lambda\) .
The main focus of this paper is to negate the divergences by means of a concept called quantum clustering that arises out of geometric insertions in Branes where the leakage of gravity from our 4 – dimensional universe can be hypothesized to form a cluster action over co-dimensional branes that in a way act as a regulator to perform the recoiling actions developed in those higher dimensional branes with a large number of lower dimensional Brane being chaotic and makes a looping because of the recoil actions arises from the bifurcations of those intersecting Branes where the maximum concentration of graviton can be found making them free from divergences.