# Singularity and entanglement on surface of event horizon

An entangled pair of particles is created with one particle embedded onto the surface of a singularity. The other particle at some stated epsilon distance above the event horizon of the singularity. Can the property of entanglement be preserved or is decoherence immediate? If the quantum system is fully described by the eigenfunction thea what tests, i.e. operators, can be performed to prove entanglement is invariant under the operation of being embedded into the event horizon? Is there a Hermitian Operator which maps from outside to onto the surface of the singularity such that we can measure any of the systems quantum properties?

• Haven't posted the accompanying math still working the equations. – Richard Kinne Jan 26 '18 at 19:41
• Thee is no consistent treatment you can do of a singularity. Also, it does not need to be a surface, the Schwarzschild singularity is a point. You may be confusing the event horizon with a singularity, it is not. It's totally different. As for entanglement inside and outside the horizon, there's plenty of papers on it, and it's an unresolved issue -- thus the black hole information paradox. – Bob Bee Jan 27 '18 at 4:26