Results 11 to 20 of about 4,092,683 (376)
Geometry from Information Geometry [PDF]
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
core +3 more sources
Real networks are finite metric spaces. Yet the geometry induced by shortest path distances in a network is definitely not its only geometry. Other forms of network geometry are the geometry of latent spaces underlying many networks, and the effective geometry induced by dynamical processes in networks.
Dmitri Krioukov+2 more
exaly +4 more sources
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.
core +4 more sources
Geometry of pseudocharacters [PDF]
If G is a group, a pseudocharacter f: G-->R is a function which is "almost" a homomorphism. If G admits a nontrivial pseudocharacter f, we define the space of ends of G relative to f and show that if the space of ends is complicated enough, then G ...
Bavard+10 more
core +13 more sources
Geometries, non-geometries, and fluxes [PDF]
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
openaire +3 more sources
Information geometry has offered a way to formally study the efficacy of scientific models by quantifying the impact of model parameters on the predicted effects. However, there has been little formal investigation of causation in this framework, despite causal models being a fundamental part of science and explanation.
Pavel Chvykov, Erik Hoel
openaire +5 more sources
Giant Vortices and the Regge Limit
In recent years it has been shown that strongly coupled systems become analytically tractable in the regime of large quantum numbers, such as large spin or large charge.
Gabriel Cuomo, Zohar Komargodski
doaj +1 more source
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperbolic equations. The stochastic quantities are expanded in terms of wavelet-
Stephan Gerster +2 more
doaj +1 more source
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
openaire +3 more sources
Phases of surface defects in Scalar Field Theories
We study mass-type surface defects in a free scalar and Wilson-Fisher (WF) O(N) theories. We obtain exact results for the free scalar defect, including its RG flow and defect Weyl anomaly.
Avia Raviv-Moshe, Siwei Zhong
doaj +1 more source