The concept of entangling black holes is an intriguing idea that has been explored in theoretical physics. However, the specific behavior of entangled black holes and the extent to which their entanglement would persist is still an area of active research and remains largely speculative.
In theory, if two particles are entangled and then each particle independently collapses into a black hole, one might expect that the resulting black holes would retain some degree of entanglement. This is because the entanglement is a property of the initial quantum state of the particles.
However, the complexities of black holes, particularly when it comes to their quantum nature and interactions with spacetime, make it challenging to provide a definitive answer. Black holes are described by general relativity, which is a classical theory of gravity, and combining it with quantum mechanics is an ongoing pursuit in theoretical physics.
Some theories, such as the AdS/CFT correspondence, suggest that the entanglement between particles can be mapped to properties of the black holes in certain scenarios. This connection, known as the holographic principle, provides a possible framework for understanding the relationship between entanglement and black holes.
However, the exact details of how entanglement would manifest and persist within black holes are still not fully understood. Further research and advancements in our understanding of quantum gravity, black hole physics, and the interplay between entanglement and black holes are needed to provide more definitive answers to these questions.