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In this paper we consider a class of one-dimensional interacting particle systems in equilibrium, constituting a dynamic random environment, together with a nearest-neighbor random walk that on occupied/vacant sites has a local drift to the…

Probability · Mathematics 2009-11-13 L. Avena , F. den Hollander , F. Redig

Two geometrical well-posed hyperbolic formulations of general relativity are described. One admits any time-slicing which preserves a generalized harmonic condition. The other admits arbitrary time-slicings. Both systems have only the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Andrew Abrahams , Arlen Anderson , Yvonne Choquet-Bruhat , James W. York,

A collection of identical and independent rare event first passage times is considered. The problem of finding the fastest out of $N$ such events to occur is called an extreme first passage time. The rare event times are singular and limit…

Biological Physics · Physics 2024-04-26 James MacLaurin , Jay M. Newby

The special relativistic test theory of Mansouri and Sexl is sketched. Theories based on different clock synchronisations are found to be equivalent to special relativity, as regards experimental results. The conventionality of clock…

General Relativity and Quantum Cosmology · Physics 2007-05-23 François Goy

We present parity conditions under which a toy rail network is one-way, i.e., whether a direction can be assigned across the network so that all train journeys are completely consistent with it or completely consistent with its opposite. We…

Combinatorics · Mathematics 2025-09-16 Dai Akita , Daniel Thorsten Schenz

We propose that light can break mirror symmetries and combining symmetries with a uniform time translation, and their breaking is characterized by an off-diagonal charge conductivity. Taking periodically driven graphene as an example, we…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Naoya Arakawa , Kenji Yonemitsu

We apply the Lieb-Robinson bounds technique to find the maximum speed of interaction in a spin model with topological order whose low-energy effective theory describes light [see X.-G. Wen, \prb {\bf 68}, 115413 (2003)]. The maximum speed…

Quantum Physics · Physics 2009-01-14 Alioscia Hamma , Fotini Markopoulou , Isabeau Premont-Schwarz , Simone Severini

We address the question of symmetries of an important type of quantum walks. We introduce all the necessary definitions and provide a rigorous formulation of the problem. Using a thorough analysis, we reach the complete answer by presenting…

Quantum Physics · Physics 2012-11-02 Václav Potoček

A new formulation of Special Relativity is described. It is based on Cellular Automata theory and on a new theory of inertia called Quantum Inertia. The universe consists of a huge 3D array of cells given by C(x,y,z), whose numeric states…

General Physics · Physics 2007-05-23 T. Ostoma , M. Trushyk

The empirical evidences in favor of the hypothesis that the speed of light decreases by a few centimeters per second each year are examined. Lunar laser ranging data are found to be consistent with this hypothesis, which also provides a…

General Physics · Physics 2009-12-16 Yves-Henri Sanejouand

Is the recent evidence for a time-varying fine structure 'constant' $\alpha$ to be interpreted as a varying $e$, $c$, $\hbar$, or a combination thereof? We consider the simplest varying electric charge and varying speed of light theories…

Astrophysics · Physics 2009-11-07 Joao Magueijo , John D. Barrow , Haavard Bunes Sandvik

In the last ten years extraordinary results in time and frequency metrology have been demonstrated. Frequency-stabilization techniques for continuous-wave lasers and femto-second optical frequency combs have enabled a rapid development of…

Atomic Physics · Physics 2014-01-14 N. Poli , C. W. Oates , P. Gill , G. M. Tino

Time is a parameter playing a central role in our most fundamental modelling of natural laws. Relativity theory shows that the comparison of times measured by different clocks depends on their relative motions and on the strength of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-05 Pierre Magain , Clémentine Hauret

The clock synchronization problem is to determine the time difference T between two spatially separated parties. We improve on I. Chuang's quantum clock synchronization algorithm and show that it is possible to obtain T to n bits of…

Computational Complexity · Computer Science 2007-05-23 Chris Harrelson , Iordanis Kerenidis

It recently has been demonstrated that signals conveyed by evanescent modes can travel faster than light. In this report some special features of signals are introduced and investigated, for instance the fundamental property that signals…

Classical Physics · Physics 2017-09-27 Guenter Nimtz

Clock synchronization is a widely discussed topic in the engineering literature. Ensuring that individual clocks are closely aligned is important in network systems, since the correct timing of various events in a network is usually…

Systems and Control · Computer Science 2017-04-25 Timothy Anglea , Yongqiang Wang

A time scale is a procedure for accurately and continuously marking the passage of time. It is exemplified by Coordinated Universal Time (UTC), and provides the backbone for critical navigation tools such as the Global Positioning System…

The two-way quantum clock synchronization has been shown not only providing femtosecond-level synchronization capability but also security against symmetric delay attacks, thus becoming a prospective method to compare and synchronize…

In the light of recent experimental and theoretical data, we go back to the studies tackled in previous publications [1] and develop some of their consequences. Some of their main aspects will be studied in further detail. Yet this text…

General Physics · Physics 2008-03-27 Joseph Levy

The paper shows that, conceptually and operationally, the speed of light as measured locally in the inertial comoving frame of a point on the rim of a rotating disk, is different from the one measured globally for a round trip along the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Rizzi , A. Tartaglia