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Vol 8, No 1 (2016)
- Year: 2016
- Articles: 7
- URL: https://journals.rcsi.science/2070-0466/issue/view/12496
Events
Group theory, probability, the structure of spacetime and V. S. Varadarajan
1-1
Research Articles
Quantum twistors
Abstract
We compute explicitly a star product on the Minkowski space whose Poisson bracket is quadratic. This star product corresponds to a deformation of the conformal spacetime, whose big cell is the Minkowski spacetime. The description of Minkowski space is made in the twistor formalism and the quantization follows by substituting the classical conformal group by a quantum group.
2-30
Bounds of p-adic weighted Hardy-Cesàro operators and their commutators on p-adic weighted spaces of Morrey types
Abstract
In this paper we aim to investigate the boundedness of the p-adic weighted Hardy-Cesàro operators and their commutators on weighted functional spaces of Morrey type. In each case, we obtain the corresponding operator norms.
31-44
KMS weights on higher rank buildings
Abstract
We extend some of the results of Carey-Marcolli-Rennie on modular index invariants of Mumford curves to the case of higher rank buildings. We discuss notions of KMS weights on buildings, that generalize the construction of graph weights over graph C*-algebras.
45-67
Exceptional lie algebras at the very foundations of space and time
Abstract
While describing the results of our recent work on exceptional Lie and Jordan algebras, so tightly intertwined in their connection with elementary particles, we will try to stimulate a critical discussion on the nature of spacetime and indicate how these algebraic structures can inspire a new way of going beyond the current knowledge of fundamental physics.
68-86
Erratum
Erratum to: “p-adic dynamical systems of Chebyshev polynomials”
87-87
Erratum to: “Orlicz norm and Sobolev-Orlicz capacity on ends of tree based on probabilistic Bessel kernels”
88-88