Results 11 to 20 of about 3,174,276 (316)
Geometry from Information Geometry [PDF]
AIP Conference Proceedings, 2015 We use the method of maximum entropy to model physical space as a curved statistical manifold. It is then natural to use information geometry to explain the geometry of space.
Caticha, Ariel
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Journal of High Energy Physics, 1999 We analyse symmetry breaking in general gauge theories paying particular attention to the underlying geometry of the theory. In this context we find two natural metrics upon the vacuum manifold: a Euclidean metric associated with the scalar sector, and ...
Lepora, Nathan. F.
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, 2016 In this paper we describe the foundation of a new kind of discrete geometry and calculus called Script Geometry. It allows to work with more general meshes than classic simplicial complexes.
Cerejeiras, Paula +3 more
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Advances in Applied Clifford Algebras, 2004 We extend vector formalism by including it in the algebra of split octonions, which we treat as the universal algebra to describe physical signals. The new geometrical interpretation of the products of octonionic basis units is presented.
Gogberashvili, Merab
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International Journal of Modern Physics D, 2004 Extra-dimensional theories contain additional degrees of freedom related to the geometry of the extra space which can be interpreted as new particles. Such theories allow to reformulate most of the fundamental problems of physics from a completely different point of view.
Ruiz Cembranos, José Alberto +2 more
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Bulletin of the American Mathematical Society, 1993 We characterize the Zariski topologies over an algebraically closed field in terms of general dimension-theoretic properties. Some applications are given to complex manifold and to strongly minimal sets.
Hrushovski, E, Zilber, B
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Geometries, non-geometries, and fluxes [PDF]
Advances in Theoretical and Mathematical Physics, 2010 Using F-theory/heterotic duality, we describe a framework for analyzing non-geometric T2-fibered heterotic compactifications to six- and four-dimensions. Our results suggest that among T2-fibered heterotic string vacua, the non-geometric compactifications are just as typical as the geometric ones. We also construct four-dimensional solutions which have
McOrist, Jock +2 more
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Journal of High Energy Physics, 2015 We investigate exceptional generalised diffeomorphisms based on E8 (8) in a geometric setting. The transformations include gauge transformations for the dual gravity field. The surprising key result, which allows for a development of a tensor formalism, is that it is possible to define field-dependent transformations containing connection, which are ...
Martin Cederwall, J. A. Rosabal
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Journal of High Energy Physics, 2022 Abstract Celestial holography expresses $$ \mathcal{S} $$ S -matrix elements as correlators in a CFT living on the night sky. Poincaré invariance imposes additional selection rules on the allowed positions of operators.
Mizera, Sebastian, Pasterski, Sabrina
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Single-Player and Two-Player Buttons & Scissors Games [PDF]
, 2016 We study the computational complexity of the Buttons \& Scissors game and obtain sharp thresholds with respect to several parameters. Specifically we show that the game is NP-complete for $C = 2$ colors but polytime solvable for $C = 1$.
Burke, Kyle +15 more
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