The Penrose diagram for the formation and evaporation of a Schwarzschild black hole including annihilation and entanglement…
The Penrose diagram for the formation and evaporation of a Schwarzschild black hole including annihilation and entanglement transfer at the singularity—in this figure we also explicitly show the transfer of entanglement from the particles at the singularity and the particles outside the event horizon. A Hawking pair is created on the Cauchy surface Σ an and evolves to the surface Σ d where the ‘int’ Hawking particle has now reached the singularity at r = 0. Another Hawking pair is created at Σ b and evolves to finally reach the Cauchy surface Σ g where the ‘int’ particle is at the singularity. Now the two ‘int’ particles are both at the singularity where they are forced to interact with (for example) two entangled matter particles as shown in figure 3©. Consider the following three particular wavy lines: the black wavy line at r = 0 between Σ d and Σ g , the blue wavy line between the green particle at the singularity on Σ d and the black particle on Σ g , and the red wavy line between the green particle at the singularity in Σ g and the black particle on Σ g , these wave lines represent the dynamics of figure 3©. In the Penrose spacetime diagram. Finally, assuming full annihilation of the two green particles at the singularity, which happens for ω″ = ω′ = ω, we end up with two ‘out’ entangled particles on Σfin. (Akil, Ali & Dahlsten, Oscar & Modesto, Leonardo. (2021). Conditional entanglement transfer via black holes: restoring predictability. New Journal of Physics. 23. 10.1088/1367-2630/ac17bb.)
