Canonical gravity in real Ashtekar–Barbero variables is generalized to allow for fermionic matter. The resulting torsion changes several expressions in Holst's original vacuum analysis, which are explicitly displayed here. This in turn requires adaptations to the known canonical (loop) quantization of gravity coupled to fermions, which is discussed on the basis of the classical analysis.

We argue that eleven dimensional supergravity can be described by a non-linear real-isation based on the group E 11. This requires a formulation of eleven dimensional super-gravity in which the gravitational degrees of freedom are described by two fields which are related by duality. We show the existence of such a description of gravity.

We introduce a new spinorial, BF-like action for the Einstein gravity. This is a first, up to our knowledge, 2-form action which describes the real, Lorentzian gravity and uses only the self-dual connection. In the generic case, the corresponding classical canonical theory is equivalent to the Einstein-Ashtekar theory plus the reality conditions. [email protected] [email protected]

In data analysis new forms of complex data have to be considered like for example (symbolic data, functional data, web data, trees, SQL query and multimedia data,. . . ). In this context classical data analysis for knowledge discovery based on calculating the center of gravity can not be used because input are not Rp vectors. In this paper, we present an application on real world symbolic data ...

abstract t his paper explains bilateral trade patterns between south korea and thirteen opec member countries over the period 1980-2014 using a gravity model. the estimation results show that the gravity equation fits the data reasonably well. we confirmed the existence of long term relationships between the bilateral trade flows and the main components of gravity model - gdp, income (gdp per c...

the compact gravity inversion including the minimization of moment of inertia has been applied to determine the geometry of anomalous bodies which cause much more depth esolution. the new algorithm is based on lewi's (1996) procedure including the minimum moment of inertia. the method is used with good results to several 3-dimensional synthetic models and real examples. the advantage of us...

gas hydrates are a costly problem when they plug oil and gas pipelines. the best way to determine the hft and pressure is to measure these conditions experimentally for every gas system. since this is not practical in terms of time and money, correlations are the other alternative tools. there are a small number of correlations for specific gravity method to predict the hydrate formation. as th...