HINT
Holography, Information, Noncommutativity, Torsion
TEAM
Our team is dedicated to fostering innovation and creativity.
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Welcome to HINT
Embark on an illuminating journey through the multifaceted landscapes of holography, information theory, noncommutativity, and torsion, where each concept unveils intricate layers of understanding, reshaping the boundaries of modern science and mathematics, and offering profound insights into the fundamental fabric of our universe.


Overview of the project

The principle of holographic duality has become one of the main tenets of modern quantum gravity research, the famous AdS/CFT correspondence being its most prominent example. In a way, the holographic duality enables us to speak about the same thing in two very different languages – the one describing classical gravitational systems and the other about quantum fields propagating on a fixed spacetime background. There exists a kind of dictionary that allows us to translate one language to another. But this holographic dictionary is still in the making, and it is one of the main goals of the HINT project to add a few new chapters. What we are mainly interested in is exploring the possibility of extending the holographic framework to include noncommutative bulk geometries – a kind of geometries that describe the gravity of spacetime with undetermined locations of spacetime events – and to apply the results in the context of black hole information loss paradox. This undertaking requires an innovative amalgamation of generalized theories of gravity (that involve spacetime torsion) and quantum information theory, the result of which will hopefully be a formula for the holographic entanglement entropy that captures the effects of spacetime noncommutativity and torsion.