Light-matter interactions under inverted Schwarzschild space-time conditions

Perhaps one of the most intriguing pursuits in the physical sciences is the search for a way to unify the predictions of quantum mechanics with that of general relativity. Nowhere is this need more evident than when a massive body occupies an increasingly small volume, forming a singularity surrounded by an event horizon. The singularity warps space-time requiring the need to rely on relativistic equations, while at the same time its size requires a quantum treatment. This essay attempts to go through a thought experiment which analyzes how the electrons of a small molecule would react if such a moiety tunneled through the event horizon of a non-rotating Schwarzschild black hole. We find that beyond the Schwarzschild radius an inversion of space-time occurs. This results in the need to rethink how we see the Hilbert space vectors of a quantum wavefunction.