The framework of momentary quantum tunneling: a causal resolution for rotating black holes

This work introduces the Momentary Quantum Tunneling (MQT) framework, proposing that the final state of a rotating black hole (Kerr geometry) is not a classical singularity, but rather a quantum bounce of finite curvature described by an effective dynamics inspired by Loop Quantum Gravity (LQG). The classical metric function Δ( r ) is regularized through coupled effective functions of mass ( M ) and angular momentum ( a ) , expressed as Δ q ( r ) = r 2 − 2 m eff ( r ) r + a eff 2 ( r ) , producing a non-singular core. The resulting dynamics, derived from the effective Hamiltonian constraints of LQG, reveals a transient contraction–expansion cycle, in which the collapsing region undergoes a momentary tunneling into an expanding white-hole domain. Although this transition is ultra-fast in proper time (effectively instantaneous), its duration appears cosmologically long to an external observer due to extreme gravitational time dilation. This model provides a continuous gravitational evolution (collapse, bounce, and expansion), offering a semiclassical bridge between General Relativity and Quantum Mechanics. Possible astrophysical signatures and connections with cosmological bounces are discussed, suggesting a new route toward resolving the black hole information paradox.