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String theory has been the most promising approach to unifying the forces of nature, bridging the gap between the quantum and macroscopic world. However, after string theory and 11-dimensional supergravity were shown to be limits of a mysterious M-theory, it has, in general, proven to be a very difficult task to solve M-theory, stymying researchers for decades. Because of this, other theories have been proposed that use different approaches to resolve this fundamental quandary, such as F-theory, S-theory and A-theory in 14-dimensions.
In this episode , David Chester and Michael Rios discuss M-theory in 11 and 27-dimensions and exciting new breakthroughs in mathematics that may aid to resolve some of the conflicts between various approaches to quantum gravity and M-theory; and bring us closer to a more robust unified theory, that may ultimately be infinite dimensional.
Michael Rios is a researcher in mathematics and high-energy theoretical physics. His primary interests include Jordan algebras, T-algebras, Hermitian symmetric domains, noncommutative and nonassociative geometry and their applications in quantum gravity. His research has explored the quantum computational aspects of extremal black holes in supergravity and M-theory and their moduli spaces. (Source : Quantum Gravity Research)
David became passionate about quantum field theory and general relativity while attending MIT for undergraduate studies. During his graduate studies at UCLA he worked on efficient scattering amplitude methods for Yang-Mills theory and its relation to solutions of gravity. His PhD thesis discussed how to compute gravitational radiation from Feynman diagrams. This further demonstrated that theoretical methods used for the LHC can be relevant for LIGO, two of the largest experimental endeavors. David is also interested in the application of exceptional mathematics to describe quantum gravity beyond the standard model physics. (Source : Quantum Gravity Research)