Black holes & other Space-times with causal boundaries

Interpreting the thermodynamic properties of black holes and other space-times with horizons and uncovering their underlying quantum statistical mechanics remains a challenge in spite of the intense efforts over the last 40 years. What does the black hole entropy measure, the degeneracy of microstates, entanglement entropy between the inside and outside of the horizon, or some intrinsic gravitational entropy? Is the quantum mechanics of space-times with causal boundaries unitary? If so, why do some of them look thermal and non-unitary in some approximation?

We have recently proposed that the extreme approximation of treating spacetime as strictly classical geometric object is at the origin of many of these issues and one should take into account the quantum properties of spacetime itself to resolve them. The idea was applied to study quantum black holes and we showed in a series of recent articles that indeed, when the quantum fluctuations of the black hole are taken into account the evolution is consistent with unitarity and other quantum mechanical constraints.

More recently, we applied this idea to propose that gravitational waves detectors should see specific signatures of the quantum nature of black holes.

Cosmology

The recent announcement about the tentative detection of gravitational waves signal in the cosmic microwave background indicates that the ongoing quest to detect such waves is advancing. Our research in cosmology aims to understand what would be the possible implications if such a discovery is confirmed. In models of cosmic inflation, a detectable amplitude of gravity waves indicates that the scale of inflation was high, close to the highest possible scale in nature.

Our research focuses on the quantum aspects of high-scale inflationary models in which a detectable amount of gravity waves is produced. Our idea is that small-field models of inflation are the only viable and consistent class describing high-scale inflation because the large-field models have some inherent inconsistencies at these high scales. We expect interesting implications for the theory of inflation, for inflationary model-building and perhaps even some observable consequences.