A predictive framework for quantum gravity and black hole to white hole transition

TL;DR

This paper applies a new positive formalism for quantum theory to predict the black hole to white hole transition, demonstrating its advantages over traditional methods in quantum gravity scenarios.

Contribution

It introduces a novel application of the positive formalism to quantum gravity, specifically predicting bounce times in black hole to white hole transitions.

Findings

Positive formalism successfully predicts bounce times.

Traditional S-matrix approach fails in this scenario.

Use of positive operator valued measures is conceptually novel.

Abstract

The apparent incompatibility between quantum theory and general relativity has long hampered efforts to find a quantum theory of gravity. The recently proposed positive formalism for quantum theory purports to remove this incompatibility. We showcase the power of the positive formalism by applying it to the black hole to white hole transition scenario that has been proposed as a possible effect of quantum gravity. We show how the characteristic observable of this scenario, the bounce time, can be predicted within the positive formalism, while a traditional S-matrix approach fails at this task. Our result also involves a conceptually novel use of positive operator valued measures.