We carry out the canonical analysis of a covariant version unimodular gravity in terms connection representation. then proceed to quantize this theory by implementing Dirac procedure. confirm whether and how Kodama state, which is solution quantum general relativity, can be extended into gravity. Finally, we discuss difference states between gravity, original relativity.

This is the first of a series of papers extending a 1+3 covariant and and gauge invariant treatment of kinetic theory in curved space-times to a treatment of Cosmic Background Radiation (CBR) temperature anisotropies arising from inhomogeneities in the early universe. This paper deals with algebraic issues, both generically and in the context of models linearised about Robertson-Walker geometri...

A trajectory-based representation for the quantum theory of the gravitational field is formulated. This is achieved in terms of a covariant Generalized Lagrangian-Path (GLP) approach which relies on a suitable statistical representation of Bohmian Lagrangian trajectories, referred to here as GLP-representation. The result is established in the framework of the manifestly-covariant quantum gravi...

We investigate the properties of new scalar XB, XD and axial-vector XB * , XD * mesons, which are recently predicted, in the covariant meson-classification scheme, to exist as the partners of ground-state pseudoscalar B, D and vector B * , D * mesons, respectively, realizing a linear representation of chiral symmetry for the light quark component in heavy-light-quark meson system. The mass spli...

Here we present an elaboration and a quantitative example for a hypothetical neuronal process, implementing what we refer to as the metaorganization principle. This process allows the internalization of external (body) geometries into the central nervous system (CNS) and a reciprocal and equally important action of the CNS geometry on the external (body) geometry. The hypothesis is based on the...

Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a Pfaff system. Integrability is governed by Frobenius’ theorem and the charges associated with the derived symmetry algebra are shown to vanish. In the asymptoti...

We discuss Euclidean covariant vector random fields as the solution of stochastic partial differential equations of the form DA = η, where D is a covariant (w.r.t. a representation τ of SO(d)) differential operator with ”positive mass spectrum” and η is a non-Gaussian white noise. We obtain explicit formulae for the Fourier transformed truncated Wightman functions, using the analytic continuati...

We classify realizations of the Lie algebras of the rotation O(3) and Euclid E(3) groups within the class of first-order differential operators in arbitrary finite dimensions. It is established that there are only two distinct realizations of the Lie algebra of the group O(3) which are inequivalent within the action of a diffeomorphism group. Using this result we describe a special subclass of ...

This paper presents a vision-based approach for mobile robot localization. The environmental model is topological. The new approach uses a constellation of different types of local affine covariant regions to characterize a place. This type of representation permits a reliable and distinctive environment modeling. The goal of our work was to find out if using combinations of complementary local...