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We present a derivation of the structure and dynamics of a ticking clock by showing that for finite systems a single natural principle serves to distinguish what we understand as ticking clocks from time-keeping systems in general. As a…

Quantum Physics · Physics 2023-06-06 Ralph Silva , Nuriya Nurgalieva , Henrik Wilming

We numerically study two methods of measuring tunneling times using a quantum clock. In the conventional method using the Larmor clock, we show that the Larmor tunneling time can be shorter for higher tunneling barriers. In the second…

Quantum Physics · Physics 2023-04-21 Fumika Suzuki , William G. Unruh

In standard quantum theory, time is not an observable. It enters as a parameter in the Schr\"odinger equation, but there is no measurement operator associated to it. Nevertheless, one may take an operational viewpoint and regard time as the…

Quantum Physics · Physics 2018-06-26 Sandra Stupar , Christian Klumpp , Renato Renner , Nicolas Gisin

A proper time observable for a quantum clock is introduced and it is found that the proper time read by one clock conditioned on another clock reading a different proper time obeys classical time dilation in accordance with special…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Takeshi Chiba , Shunichiro Kinoshita

A general definition of a clock is proposed, and the role of clocks in establishing temporal pre-conditions in quantum mechanical questions is critically discussed. The different status of clocks as used by theorists external to a system…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arlen Anderson

Laboratory optical atomic clocks achieve remarkable accuracy (now counted to 18 digits or more), opening possibilities to explore fundamental physics and enable new measurements. However, their size and use of bulk components prevent them…

We consider binary dispatching problem originating from object oriented programming. We want to preprocess a hierarchy of classes and collection of methods so that given a function call in the run-time we are able to retrieve the most…

Data Structures and Algorithms · Computer Science 2012-02-28 Pawel Gawrychowski

Timescales spanning 24 orders of magnitude smaller than one second can be studied experimentally, and each range is packed with different physical phenomena. This rich range of timescales offers a great context for an innovative…

Physics Education · Physics 2024-07-25 Igor P. Ivanov

Basic for the definition of 'time' are clocks operating under stationary conditions. The periods of two clocks can be compared with each other via two return experiments. The central clock mediates between the rotating and the inertial…

General Physics · Physics 2013-06-25 Richard Lenk

An efficient algorithm for classification of binary self-dual codes is presented. As an application, a complete classification of the self-dual codes of length 38 is given.

Combinatorics · Mathematics 2012-10-10 Stefka Bouyuklieva , Iliya Bouyukliev

Matrix clocks are a generalization of the notion of vector clocks that allows the local representation of causal precedence to reach into an asynchronous distributed computation's past with depth $x$, where $x\ge 1$ is an integer.…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 L. M. A. Drummond , V. C. Barbosa

This paper introduces a novel scheduling problem, where jobs occupy a triangular shape on the time line. This problem is motivated by scheduling jobs with different criticality levels. A measure is introduced, namely the binary tree ratio.…

Data Structures and Algorithms · Computer Science 2016-05-03 Christoph Dürr , Zdeněk Hanzálek , Christian Konrad , Yasmina Seddik , René Sitters , Óscar C. Vásquez , Gerhard Woeginger

Physical clocks provide more precision than applications can use. For example, a 64 bit NTP clock allows a precision of 233 picoseconds. In this paper, we focus on whether the least significant bits that are not useful to the applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-20 Sandeep S Kulkarni , Gabe Appleton , Duong Nguyen

We can think of a lensed quasar as taking the Hubble time, shrinking it by \~10^{-11}, and then presenting the result to us as a time delay; the shrinking factor is of the order of fractional sky-area that the lens occupies. This cute fact…

Astrophysics · Physics 2009-11-10 Prasenjit Saha

A theory of 'time' as a form of 'information' is proposed. New tools such as Feynman Clocks, Collective Excitation Networks, Sequential Excitation Networks, Plateaus of Complexity, and Causal Networks are used to unify previously separate…

Quantum Physics · Physics 2007-05-23 Scott M. Hitchcock

Recently invented and demonstrated, optical lattice clocks hold great promise for improving the precision of modern timekeeping. These clocks aim at the 10^-18 fractional accuracy, which translates into a clock that would neither lose or…

Atomic Physics · Physics 2015-05-20 Andrei Derevianko , Hidetoshi Katori

Clock interferometry refers to the coherent splitting of a clock into two different paths and recombining in a way that reveals the proper time difference between them. Unlike the comparison of two separate clocks, this approach allows…

Quantum Physics · Physics 2024-09-05 Ilan Meltzer , Yoav Sagi

We present a new visualization of the proper-time elapsed along an observer's worldline. By supplementing worldlines with light clocks, the measurement of space-time intervals is reduced to the "counting of ticks." The resulting space-time…

Physics Education · Physics 2007-05-23 Roberto B. Salgado

We create a new online reduction of multiclass classification to binary classification for which training and prediction time scale logarithmically with the number of classes. Compared to previous approaches, we obtain substantially better…

Machine Learning · Statistics 2016-12-02 Hal Daume , Nikos Karampatziakis , John Langford , Paul Mineiro

We show how binary classification methods developed to work on i.i.d. data can be used for solving statistical problems that are seemingly unrelated to classification and concern highly-dependent time series. Specifically, the problems of…

Machine Learning · Computer Science 2013-06-10 Daniil Ryabko , Jérémie Mary