We study a cosmological scenario in which a new universe nucleates from the Euclidean core of a near-extremal Kerr black hole. Embedding the Kerr–Planck model into Loop Quantum Gravity (LQG) discretizes the Euclidean action B through the LQG area spectrum, A = 4πγ√ 3 N. This leads to a discrete family of instantons labeled by the integer N. For physically motivated values N ∈ 80, 150, the action naturally falls in the range B ∼ 102 , generating exponential hierarchies relevant for particle physics and cosmology. We show that within this window, several key observables — the light neutrino mass scale, the heavy neutrino scale relevant for leptogenesis, and the vacuum energy density — emerge with magnitudes compatible with those of our universe, without introducing free parameters beyond those of LQG and Kerr geometry. As an illustrative example, N = 106 yields B ≈ 137, leading to mν ∼ 0.02 eV, MN ∼ 1.6 × 104 GeV, and ρΛ ∼ 10−123M4 P . We do not claim that the theory uniquely selects this value; rather, we identify a natural discrete window in which universes with properties similar to ours arise.
Carlos Javier Díaz Curiel (Fri,) studied this question.