Classical and Quantum Aspects of Near-Horizon Physics

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In recent years, researchers' attention has been sparked by the thermal and geometrical characteristics of black hole horizons as well as their intimate relationship with the dynamics of particle motion surrounding them. Because of this, research into near-horizon physics has received a lot of interest recently. Over time, systems have begun to exhibit some intriguing behaviours whenever they come under the dominance of this mysterious one-way membrane, according to scientists. One of these traits is the appearance of chaotic dynamics in a system in the vicinity of the horizon. It has been found that the influence of horizon on a system can introduce chaos within the system. Research on chaos in the presence of horizons has been ongoing for a long time, but the reason for this special feature of the horizon is still not apparent. Similarly, it is crucial to take into account in this context why all horizons (whether static or stationary) express the same phenomenological quality. Contrarily, the idea of black hole thermodynamics has been around for a while and is based on an analogy between the laws governing black holes and those governing typical thermodynamical systems. However, no one has ever really addressed why these thermodynamical quantities are connected to the horizon. In actuality, we still don't fully understand the underlying physical process that generates temperature in the horizon system. For instance, the kinetic theory of gases explains that the temperature of a gas contained in a cylinder is caused by the kinetic energy of the gas particles. However, it is unknown at this time whether a similar mechanism will operate in the scenario of a horizon. As a result, it is also unknown which microscopic degrees of freedom (MDOF) are in charge of such a property. Despite numerous tries, there are currently no conclusive explanations.
Supervisor: Majhi, Bibhas Ranjan
Gravitation, Black hole Thermodynamics, Hawking Radiation, Chaos