Kinematic quantum states for the Teleparallel Equivalent of General Relativity

A space of kinematic quantum states for the Teleparallel Equivalent of General Relativity is constructed by means of projective techniques. The states are kinematic in this sense that their construction bases merely on the structure of the phase space of the theory and does not take into account constraints on it. The space of quantum states is meant to serve as an element of a canonical quantization of the theory.Comment: 41 pages, no figures, Latex2

Quantum group connections

The Ahtekar-Isham C*-algebra known from Loop Quantum Gravity is the algebra of continuous functions on the space of (generalized) connections with a compact structure Lie group. The algebra can be constructed by some inductive techniques from the C*-algebra of continuous functions on the group and a family of graphs embedded in the manifold underlying the connections. We generalize the latter construction replacing the commutative C*-algebra of continuous functions on the group by a non-commutative C*-algebra defining a compact quantum group.Comment: 40 pages, LaTeX2e, minor mistakes corrected, abstract slightly change

Background independent quantizations: the scalar field I

We are concerned with the issue of quantization of a scalar field in a diffeomorphism invariant manner. We apply the method used in Loop Quantum Gravity. It relies on the specific choice of scalar field variables referred to as the polymer variables. The quantization, in our formulation, amounts to introducing the `quantum' polymer *-star algebra and looking for positive linear functionals, called states. The assumed in our paper homeomorphism invariance allows to determine a complete class of the states. Except one, all of them are new. In this letter we outline the main steps and conclusions, and present the results: the GNS representations, characterization of those states which lead to essentially self adjoint momentum operators (unbounded), identification of the equivalence classes of the representations as well as of the irreducible ones. The algebra and topology of the problem, the derivation, all the technical details and more are contained in the paper-part II.Comment: 13 pages, minor corrections were made in the revised versio

Quantization of four-dimensional Abelian gravity

An abelian version of standard general relativity in the Cartan-Palatini gauge-like formulation in four dimensions has been introduced. Traditional canonical analysis utilizing similarities to the akin Husain-Kuchar SU(2) version of gravity has been performed. The model has been next quantized in the canonical path-integral Faddeev-Popov formalism yielding abelian BF theory.Comment: Minor changes, additional symmetry discussed. 5 pages, 2 columns, REVTeX

The detection of Helicobacter pylori in paraffin sections using the PCR technique and various primers as compared to histological techniques

Helicobacter pylori is thought to represent a significant etiopathogenic factor in diseases of the upper gastrointestinal tract. It seems, therefore, important to elaborate effective techniques for its detection. The aim of the present study was to evaluate the effectiveness of Helicobacter pylori detection using the PCR technique on paraffin sections with various pairs of primers and to compare the results with those of a histological appraisal. Material for the studies involved 50 paraffin blocks with gastric mucosa biopsies fixed in 4% buffered formalin. In this material 4 tests were performed with the aim of diagnosing Helicobacter pylori infection: 1) H+E staining, 2) staining by the Giemsa technique, 3) an immunocytochemical technique with antibodies against H. pylori and 4) the PCR technique with various primers. In the present study the most reliable results for H. pylori detection as well as the most pronounced correlation were obtained by using the PCR technique with primers for the ureC gene, immunohistochemistry and staining according to Giemsa. Less compatible results were obtained employing the two PCR techniques which utilise various primers. The experiments confirmed the usefulness of the PCR technique in the detection of Helicobacter pylori in paraffin sections by using a suitable pair of primers, and also indicated that Giemsa staining and immunohistochemistry should be taken into account

ADM-like Hamiltonian formulation of gravity in the teleparallel geometry

We present a new Hamiltonian formulation of the Teleparallel Equivalent of General Relativity (TEGR) meant to serve as the departure point for canonical quantization of the theory. TEGR is considered here as a theory of a cotetrad field on a spacetime. The Hamiltonian formulation is derived by means of an ADM-like 3+1 decomposition of the field and without any gauge fixing. A complete set of constraints on the phase space and their algebra are presented. The formulation is described in terms of differential forms.Comment: 43 pages, LaTeX2e; the original 73 page paper arXiv:1111.5498v1 was revised and divided into two parts. The present paper is the first part of the original one (the second part is available as arXiv:1309.4685

Background independent quantizations: the scalar field II

We are concerned with the issue of quantization of a scalar field in a diffeomorphism invariant manner. We apply the method used in Loop Quantum Gravity. It relies on the specific choice of scalar field variables referred to as the polymer variables. The quantization, in our formulation, amounts to introducing the `quantum' polymer *-star algebra and looking for positive linear functionals, called states. Assumed in our paper homeomorphism invariance allows to derive the complete class of the states. They are determined by the homeomorphism invariant states defined on the CW-complex *-algebra. The corresponding GNS representations of the polymer *-algebra and their self-adjoint extensions are derived, the equivalence classes are found and invariant subspaces characterized. In the preceding letter (the part I) we outlined those results. Here, we present the technical details.Comment: 51 pages, LaTeX, no figures, revised versio

Differentiated expression of estrogen receptors (ER) and progesterone receptors (PgR) in ductal breast cancers.

Contents of estrogen receptors (ER) and progesterone receptors (PgR) in cells of breast cancers represent strong predictive factors. The higher is the contents of ER and PgR in breast cancer, the higher is a probability of obtaining a response to hormonal therapy and prognosis for the patient is better. In a routine manner, all tumours of mammary gland are subjected to evaluation of ER and PgR expression using immunohistochemistry. Forty ductal breast cancers (pT2N0) were subjected to an immunohistochemical evaluation (IHC) aimed at detection of ER and PgR expression. From every tumour three samples were taken for immunohistochemical studies: the lateral one from the side of axilla (ER-1; PgR-1); the median one (ER-2; PgR-2) and the medial one from the side of sternum (ER-3; PgR-3). The levels of both ER and PgR expression proved to be highly differentiated between the medial zone of the tumour and its periphery. The distinct expression of ER and PgR in ductal breast cancers, dependent on evaluated zone of the tumour, confirms its heterogeneous character and exerts an effect on the type of applied treatment