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A brief note on the time variation of the fine structure constant $\alpha_{em}$; it is shown that such a variation should violate mass-energy conservation in the absence of proton decay.

Astrophysics · Physics 2007-05-23 G. R. Filewood

This paper considers the stability problem of a linear time invariant system in feedback with a string equation. A new Lyapunov functional candidate is proposed based on the use of augmented states which enriches and encompasses the…

Analysis of PDEs · Mathematics 2019-04-25 Matthieu Barreau , Alexandre Seuret , Frédéric Gouaisbaut , Lucie Baudouin

We revisit the structure learning problem for dynamic Bayesian networks and propose a method that simultaneously estimates contemporaneous (intra-slice) and time-lagged (inter-slice) relationships between variables in a time-series. Our…

Template and prunning front are calculated for an experimental chaotic time series from a mechanical string experiment. An empirical synchronized model is also created for the data set. To appear in Physical Review E.

chao-dyn · Physics 2009-10-22 Nicholas B. Tufillaro

We consider the problem of mining signal temporal logical requirements from a dataset of regular (good) and anomalous (bad) trajectories of a dynamical system. We assume the training set to be labeled by human experts and that we have…

Artificial Intelligence · Computer Science 2018-08-02 Laura Nenzi , Simone Silvetti , Ezio Bartocci , Luca Bortolussi

The environment-dependent dilaton field is a well-motivated candidate for dark energy and naturally arises in the strong coupling limit of string theory. In this article, we present the very first experimental constraints on the parameters…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Hauke Fischer , Christian Käding , René I. P. Sedmik , Hartmut Abele , Philippe Brax , Mario Pitschmann

The sensitivity parameter is widely used for quantifying fine tuning. However, examples show it fails to give correct results under certain circumstances. We argue that the problems of the sensitivity parameter are almost identical to the…

High Energy Physics - Phenomenology · Physics 2009-02-05 Su Yan

We present a theoretical calculation on the time-variability of the fine-structure constant to fit the result of the recent precise analysis of the measurement of the QSO absorption lines. We find the parameters and initial values of the…

Astrophysics · Physics 2008-11-26 Yasunori Fujii

Our article considers a regression model with observed factors. The observed factors have a flexible stochastic volatility structure that has separate dynamics for the volatilities and the correlation matrix. The correlation matrix of the…

Other Statistics · Statistics 2011-07-14 Yu-Cheng Ku , Peter Bloomfield , Robert Kohn

Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the "fractional order…

Dynamical Systems · Mathematics 2023-05-12 Divya D. Joshi , Sachin Bhalekar , Prashant M. Gade

We consider the influence of variation in the fine structure constant alpha on a promising experiment proposed by DeMille et al. to search for variation in the electron-to-proton mass ratio mu using diatomic molecules [DeMille et al., Phys.…

Atomic Physics · Physics 2011-11-15 K. Beloy , A. Borschevsky , V. V. Flambaum , P. Schwerdtfeger

In string theory the coupling parameters are functions of moduli fields. The actual values of the coupling constants are then dynamically determined through the vacuum expextation values of these fields. We review the attempts to connect…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

We consider the response of a finite string to white noise and obtain the exact time-dependent spectrum. The complete exact solution is obtained, that is, both the transient and steady-state solution. To define the time-varying spectrum we…

Classical Physics · Physics 2025-04-18 Lorenzo Galleani , Leon Cohen

The general constraints on the parameter space of soft-breaking terms, in order to avoid dangerous charge and color breaking minima, are applied to the four-dimensional string scenario where the dilaton is the source of supersymmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Casas , A. Lleyda , C. Muñoz

The converging mechanism discussed in [Damour & Nordtvedt, Physical Review Letters,70,15] for scalar-tensor theories has been applied to dilaton-like theories in several subsequent papers. In the present communication, we show that an…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Olivier Minazzoli

In this thesis time-dependent configurations are studied in the formalism of first-quantized string. These configurations are exact: solutions of the corresponding two-dimensional conformal field theory can be found. We can compute…

High Energy Physics - Theory · Physics 2007-05-23 Bruno Durin

The dilaton theorem implies that the contribution to the dilaton potential from cubic interactions of all levels must be cancelled by the elementary quartic self-coupling of dilatons. We use this expectation to test the quartic structure of…

High Energy Physics - Theory · Physics 2010-02-03 Haitang Yang , Barton Zwiebach

Analyzing data from dynamical systems often begins with creating a reconstruction of the trajectory based on one or more variables, but not all variables are suitable for reconstructing the trajectory. The concept of nonlinear observability…

Chaotic Dynamics · Physics 2018-10-25 Thomas L. Carroll

The elapsed-time model describes the behavior of interconnected neurons through the time since their last spike. It is an age-structured non-linear equation in which age corresponds to the elapsed time since the last discharge, and models…

Dynamical Systems · Mathematics 2025-04-28 María J. Cáceres , José A Cañizo , Nicolas Torres

We review the current observational status of string cosmology when confronted with experimental datasets. We begin by defining common observational parameters and discuss how they are determined for a given model. Then we review the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 David J. Mulryne , John Ward