Quantum dynamics of the Einstein-Rosen wormhole throat

Understand

We consider the polymer quantization of the Einstein wormhole throat theory for an eternal Schwarzschild black hole.

• We numerically solve the difference equation describing the quantum evolution of an initially Gaussian, semi-classical wave packet.
• As expected from previous work on loop quantum cosmology, the wave packet remains semi-classical until it nears the classical singularity at which point it enters a quantum regime in which the fluctuations become large.
• The expectation value of the radius reaches a minimum as the wave packet is reflected from the origin and emerges to form a near Gaussian but asymmetrical semi-classical state at late times.