1999 - Fellow of the American Association for the Advancement of Science (AAAS)
John C. Baez spends much of his time researching Pure mathematics, Quantum gravity, Algebra, Gauge theory and Theoretical physics. The study of Pure mathematics is intertwined with the study of Group in a number of ways. His studies deal with areas such as SIC-POVM and Quantum probability as well as Quantum gravity.
In his work, Barrett–Crane model, Group field theory and Euclidean quantum gravity is strongly intertwined with Spin foam, which is a subfield of Theoretical physics. His studies in Quantum geometry integrate themes in fields like Quantization and Classical mechanics. His Canonical quantum gravity research is multidisciplinary, incorporating elements of Horizon and Black hole thermodynamics.
The scientist’s investigation covers issues in Pure mathematics, Mathematical physics, Algebra, Quantum gravity and Quantum mechanics. His work in Higher-dimensional algebra, Lie group, Hilbert space, Morphism and Invariant is related to Pure mathematics. His work in Mathematical physics addresses subjects such as Mathematical analysis, which are connected to disciplines such as Minkowski space.
His Quantum gravity research is multidisciplinary, incorporating perspectives in Theoretical physics and Classical mechanics. The Loop quantum gravity study which covers Quantum geometry that intersects with Black hole thermodynamics, Horizon and Immirzi parameter. In his research on the topic of General relativity, Group is strongly related with Gauge theory.
His primary areas of study are Morphism, Algebra, Functor, Pure mathematics and Petri net. His work deals with themes such as Mathematical model, Legendre transformation, Categorical variable and Category theory, which intersect with Morphism. His work carried out in the field of Algebra brings together such families of science as Operational semantics, Markov process and Quantum world.
His research integrates issues of Entropy, Disjoint union and Reachability, Combinatorics in his study of Functor. His Pure mathematics research integrates issues from Element and Division. He interconnects Rate equation, Discrete mathematics and Set in the investigation of issues within Petri net.
His main research concerns Morphism, Functor, Pure mathematics, Markov process and Algebra. John C. Baez combines subjects such as Commutative property, Probability distribution, Direct sum and Kullback–Leibler divergence with his study of Morphism. His Functor study combines topics from a wide range of disciplines, such as Cone and Quiver.
His research on Pure mathematics often connects related topics like Entropy. His Markov process research is multidisciplinary, incorporating elements of Second law of thermodynamics, Hamiltonian, Divergence and Game theory. His Algebra research includes elements of Disjoint union, Reachability, Isomorphism and Petri net.
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John C. Baez.
Quantum geometry and black hole entropy
Abhay Ashtekar;J C Baez;A Corichi;A Corichi;K Krasnov.
Physical Review Letters (1998)
An Introduction to spin foam models of quantum gravity and BF theory
John C. Baez.
Lecture Notes in Physics (1999)
Quantum Geometry of Isolated Horizons and Black Hole Entropy
Abhay Ashtekar;John C. Baez;John C. Baez;Kirill Krasnov.
Advances in Theoretical and Mathematical Physics (2000)
Higher dimensional algebra and topological quantum field theory
John C. Baez;James Dolan.
Journal of Mathematical Physics (1995)
Gauge fields, knots, and gravity
John C. Baez;Javier P. Muniain.
Spin foam models
John C. Baez.
Classical and Quantum Gravity (1998)
Higher-Dimensional Algebra VI: Lie 2-Algebras
John C. Baez;Alissa S. Crans.
Theory and Applications of Categories (2004)
Higher Dimensional Algebra: I. Braided Monoidal 2-Categories
John C Baez;Martin Neuchl.
Advances in Mathematics (1996)
Introduction to Algebraic and Constructive Quantum Field Theory
John C. Baez;Irving Ezra Segal;Zhengfang Zhou.
Physics Today (1992)
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