I'm broadly interested in
Open Quantum Field Theories
Non-equilibrium Quantum Field Theory
Black Holes
Recently, I have been thinking a lot about how insights from Algebraic Geometry can be used to understand special function theory.
For my PhD, I have been exploring the question of scattering processes involving Hawking Radiation. I describe below the broad question that I have been thinking about for the past half-decade.
A black hole is the cadaverous stage in the life of a star. When stars run out of fuel, they die; gravity finally triumphs over all other forces and produces so gravitationally strong an object that not even light can escape it.
In fact, a black hole can be defined as an object that has a surface of no return (called its event horizon). Once past this horizon, not even light can escape. This is what we had learnt around a century ago from Einstein.
However, around half a century ago, Hawking taught us that if we account for the effects of Quantum Mechanics, black holes, in fact, radiate. They have a faint glow or shimmer, if you may.
Given this knowledge, we ask: what happens if you throw something at a black hole? Almost always, it gets sucked in. But there is a possibility of it scattering against the glow of the black hole (as shown in Fig. 1 here). During my PhD, I have been thinking about such processes.
You can find my publications here.
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