## The LTP experiment on the LISA Pathfinder mission

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The following sections are included:

Introduction

The following sections are included:

Introduction

The -deformation of the (2 + 1)D anti-de Sitter, Poincaré, and de Sitter groups is presented through a unified approach in which the curvature of the spacetime (or the cosmological constant) is considered as an explicit parameter. The Drinfel’d-double and the Poisson–Lie structure underlying the -deformation are explicitly given, and the three quan...

This is an expository paper which has two parts. In the first part, we study quiver varieties of affine $A$-type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the generating function of Poincare polynomials of quiver varieties in rank 1 cases. Our main tools are cores and quotients of Young...

Quantum theory and general relativity contain different concepts of time. This is considered as one of the major obstacles to constructing a quantum theory of gravity. In my essay, I investigate those consequences for the concept of time in quantum gravity that may be drawn without a detailed knowledge of the final theory. The only assumptions are ...

The critical phenomena in strongly interaction matter are generally investigated using the mean-field model and are characterized by well defined critical exponents. However, such models provide only average properties of the corresponding order parameters and neglect altogether their possible fluctuations. Also the possible long range effect are n...

The chapter is devoted to General Relativity. The goal is to rigorously arrive at the equations that describe the structure of relativistic stars — the Oppenheimer–Volkoff equations —, the form that Einstein’s equations take for spherical static stars. Two important facts emerge immediately. No form of matter whatsoever can support a relativistic s...

A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein–Euler system. The resulting evolution system is used to show that small nonlinear perturbations of ex...

The phenomenological universalities (PU) are extended to include quantum oscillatory phenomena, coherence and supersymmetry. It will be proved that this approach generates minimum uncertainty coherent states of time-dependent oscillators, which in the dissociation (classical) limit reduce to the functions describing growth (regression) of the syste...

We introduce a duality construction for toric Landau–Ginzburg models, applicable to complete intersections in toric varieties via the sigma model / Landau–Ginzburg model correspondence. This construction is shown to reconstruct those of Batyrev-Borisov, Berglund–Hübsch, Givental, and Hori–Vafa. It can be done in more general situations, and provide...

We use the General Boundary Formulation (GBF) of Quantum Field Theory to compute the S-matrix for a general interacting scalar field in a wide class of curved spacetimes. As a by-product we obtain the general expression of the Feynman propagator for the scalar field, defined in the following three types of spacetime regions. First, there are the fa...