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The concept of measurement in classical scattering is interpreted as an overlap of a particle packet with some area in phase space that describes the detector. Considering that usually we record the passage of particles at some point in…

经典物理 · 物理学 2010-04-27 C Jung , T H Seligman , J M Torres

Quantum cosmology in the presence of a fundamental minimal length is analyzed in the context of the flat isotropic and the Taub cosmological models. Such minimal scale comes out from a generalized uncertainty principle and the quantization…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Marco Valerio Battisti , Giovanni Montani

The accelerating universe is closely related to today's version of the cosmological constant problem; fine-tuning and coincidence problems. We show how successfully the scalar-tensor theory, a rather rigid theoretical idea, provides us with…

宇宙学与河外天体物理 · 物理学 2009-09-01 Yasunori Fujii

A canonical quantization scheme is represented for a quantum system interacting with a nonlinear absorbing environment. The environment is taken anisotropic and the main system is coupled to its environment through some coupling tensors of…

量子物理 · 物理学 2009-11-10 M. Amooshahi , E. Amooghorban

Einstein theory can be embedded in Kaluza-Klein theory, and in particular all 4D vacuum solutions can be embedded in 5D (pure) canonical space where spacetime is independent of the extra coordinate. The uniqueness of 5D canonical space is…

广义相对论与量子宇宙学 · 物理学 2010-11-02 Paul S. Wesson

We discuss the quantization in the minisuperspace for the generalized fourth-order teleparallel cosmological theory known as $f\left( T,B\right) $. Specifically we focus on the case where the theory is linear on the torsion scalar, in that…

广义相对论与量子宇宙学 · 物理学 2021-06-08 Andronikos Paliathanasis

Continuous models used in physics and other areas of mathematics applications become discrete when they are computerized, e.g., utilized for computations. Besides, computers are controlling processes in discrete spaces, such as films and…

经典分析与常微分方程 · 数学 2010-02-02 Mark Burgin

Scalar-tensor theories are the best motivated alternatives to general relativity and provide a mathematically consistent framework to test the various observable predictions. They can involve three functions of the scalar field: (i) a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Gilles Esposito-Farese

The Macroscopic Fluctuation Theory is an effective framework to describe transports and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the Macroscopic Fluctuation Theory may be extended to the quantum realm…

统计力学 · 物理学 2021-11-05 Denis Bernard

We consider the possibility to produce a bouncing universe in the framework of scalar-tensor gravity models in which the scalar field potential may be negative, and even unbounded from below. We find a set of viable solutions with nonzero…

广义相对论与量子宇宙学 · 物理学 2015-07-15 B. Boisseau , H. Giacomini , D. Polarski , A. A. Starobinsky

This work discusses quantum states defined in a finite-dimensional Hilbert space. In particular, after the presentation of some of them and their basic properties the work concentrates on the group of the quantum optical models that can be…

量子物理 · 物理学 2013-12-03 W. Leoński , A. Kowalewska-Kudłaszyk

There are two approaches to time series approximate factor models: the static factor model, where the factors are loaded contemporaneously by the common component, and the Generalised Dynamic Factor Model, where the factors are loaded with…

计量经济学 · 经济学 2025-02-28 Philipp Gersing , Matteo Barigozzi , Christoph Rust , Manfred Deistler

In many applications, such as classification of images or videos, it is of interest to develop a framework for tensor data instead of an ad-hoc way of transforming data to vectors due to the computational and under-sampling issues. In this…

机器学习 · 统计学 2020-11-13 You-Lin Chen , Mladen Kolar , Ruey S. Tsay

In this paper, we consider the volume enclosed by the microcanonical ensemble in phase space as a statistical ensemble. This can be interpreted as an intermediate image between the microcanonical and the canonical pictures. By maintaining…

混沌动力学 · 物理学 2011-11-10 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor data processing. This work develops a generalized canonical polyadic (GCP) low-rank tensor…

数值分析 · 数学 2020-07-09 David Hong , Tamara G. Kolda , Jed A. Duersch

We develop a generic spacetime model in General Relativity which can be used to build any gravitational model within General Relativity. The generic model uses two types of assumptions: (a) Geometric assumptions additional to the inherent…

广义相对论与量子宇宙学 · 物理学 2021-06-15 Michael Tsamparlis , Andronikos Paliathanasis

This paper examines the use of tensor networks, which can efficiently represent high-dimensional quantum states, in language modeling. It is a distillation and continuation of the work done in (van der Poel, 2023). To do so, we will…

机器学习 · 计算机科学 2024-03-21 Constantijn van der Poel , Dan Zhao

Modeling the complex relationships between multiple categorical response variables as a function of predictors is a fundamental task in the analysis of categorical data. However, existing methods can be difficult to interpret and may lack…

统计方法学 · 统计学 2024-10-08 Hongru Zhao , Aaron J. Molstad , Adam J. Rothman

Canonical tensor product subfactors (CTPS's) describe, among other things, the embedding of chiral observables in two-dimensional conformal quantum field theories. A new class of CTPS's is constructed some of which are associated with…

算子代数 · 数学 2008-11-26 K. -H. Rehren

General relativity is the theory with unclear energy momentum tensor. An approach is considered, allowing to construct the energy momentum tensor for relativity with nonsymmetric metric. A consequence of the approach is confirmed in the…

综合物理 · 物理学 2016-10-21 Boris V. Gisin