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Shahn Majid’s is a leading authority on algebraic methods for quantum gravity and other fields where quantum theory and geometry collide, including Hopf algebras and noncommutative geometry. He pioneered the modern approach to the quantum spacetime hypothesis, the idea that the coordinates x,y,z,t that determine where and when an event takes place are in fact elements of a quantum algebra and hence subject to quantum uncertainty, due to quantum gravity effects. This allows one to understand the nature of physics at the mysterious Planck scale as a practical alternative to so-called Theories of Everything such as string theory. His approach entails the generalisation of our very concepts of differential calculus and geometry to a suitable quantum Riemannian geometry, coming out of but not limited to the notion of quantum groups (a generalisation of the concept of symmetry that he earlier helped pioneer in the 1980s). Other examples include quantum black hole models as well as noncommutative geometry more widely. Shahn Majid is also responsible for a theory of braided algebra where algebraic expressions are wired up like in a computer (and where wires can get tangled) and is currently interested in applying the above ideas to quantum information and quantum computing.
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JOURNAL OF MATHEMATICAL PHYSICSno. 1 (2024)
JOURNAL OF ALGEBRA (2024): 754-794
arXiv (Cornell University) (2023)
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Journal of High Energy Physicsno. 9 (2023): 1-33
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Journal of Noncommutative Geometry (2023)
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