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We consider the ambiguity associated with the choice of clock in time reparameterization invariant theories. This arbitrariness undermines the goal of prescribing a fixed set of physical laws, since a change of time variable can completely…

High Energy Physics - Theory · Physics 2009-01-27 Andreas Albrecht , Alberto Iglesias

Shapelet-based algorithms are widely used for time series classification because of their ease of interpretation, but they are currently outperformed by recent state-of-the-art approaches. We present a new formulation of time series…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Antoine Guillaume , Christel Vrain , Elloumi Wael

Besides the purely digital or analog interpretation of reality there is a third possibility which incorporates important aspects of both. This is the cyclic formulation of elementary systems, in which elementary particles are represented as…

General Relativity and Quantum Cosmology · Physics 2012-05-09 Donatello Dolce

Before atomic timekeeping, clocks were set to the skies. But starting in 1972, radio signals began broadcasting atomic seconds and leap seconds have occasionally been added to that stream of atomic seconds to keep the signals synchronized…

Instrumentation and Methods for Astrophysics · Physics 2011-06-17 David Finkleman , Steve Allen , John Seago , Rob Seaman , P. Kenneth Seidelmann

The orbital period is a measure of the size of a contact binary star, and can be combined with color to predict its luminosity to a fraction of stellar magnitude. This novel application of contact binary systems currently has limitations…

Astrophysics · Physics 2007-05-23 Slavek M. Rucinski

The time in an atomic clock in motion is discussed using the analogy of a sing around sound source. Sing around frequency is modified according to the motion of the sing around sound source, using the Lorentz transformation equation. Thus,…

General Physics · Physics 2007-05-23 Masanori Sato

Extended variants of the recently introduced spread unary coding are described. These schemes, in which the length of the code word is fixed, allow representation of approximately n^2 numbers for n bits, rather than the n numbers of the…

Information Theory · Computer Science 2015-02-04 Subhash Kak

Leveraging the unrivaled performance of optical clocks in applications in fundamental physics beyond the standard model, in geo-sciences, and in astronomy requires comparing the frequency of distant optical clocks truthfully. Meeting this…

We introduce the concept of an entangled clock, where the flow of time is operationally defined by the discrete registration of measurement outcomes on a singlet state. Comparing the synchronization rate of two such clocks against classical…

Quantum Physics · Physics 2025-12-12 Karl Svozil

Multi-node optical clock networks will enable future studies of fundamental physics and enable applications in quantum and classical communications as well as navigation and geodesy. We implement the first ever multi-node optical clock…

This letter presents the principles and techniques of active optical clock, a special laser combining the laser physics of one-atom laser, bad-cavity gas laser, super-cavity stabilized laser and optical atomic clock. As an example, a…

Atomic Physics · Physics 2009-02-16 Jingbiao Chen

We developed an algorithm that easily goes from one odd number to the next odd number in binary representation for the reduced forward Collatz map (Syracuse function). The algorithm indicates when an odd number can grow or shrink to the…

General Mathematics · Mathematics 2023-01-19 Richard Kaufman

Electronic circuits can be separated into two groups, digital and analog circuits. Analog circuits operate on analog quantities that are continuous in value, whereas digital circuits operate on digital quantities that are discrete in value…

Other Computer Science · Computer Science 2019-05-07 Issam Damaj

A novel single-sideband (SSB) time-modulated technique with 2-bit phase shifters is proposed. The timemodulated module is implemented by adding periodic phase modulation to 2-bit phase shifters, which is simpler without performance loss…

Signal Processing · Electrical Eng. & Systems 2020-10-14 Yanchang Gao , Gang Ni , Kun Wang , Yiqing Liu , Chong He , Ronghong Jin , Xianling Liang

The use of precision timing measurements will be a major tool at the HL-LHC, where it will be used to suppress pile-up and to search for long-lived particles. To control a reference clock with sub-picosecond accuracy, we have fabricated in…

Instrumentation and Detectors · Physics 2023-03-24 Diba Dehmeshki , Erich Frahm , Roger Rusack , Rohith Saradhy , Yahya Tousi

A new fast (real time) sorter of binary numbers by one-dimensional cellular automata is proposed. It sorts a list of n numbers represented by k-bits each in exactly nk steps. This is only one step more than a lower bound.

Cellular Automata and Lattice Gases · Physics 2010-12-06 Thomas Worsch , Hidenosuke Nishio

The optical atomic clock based on the $5S_{1/2} \rightarrow 5D_{5/2}$ two-photon transition in rubidium is a candidate for a next generation, manufacturable, portable clock that fits in a small size, weight, and power (SWaP) envelope. Here,…

Atomic Physics · Physics 2025-10-13 River Beard , Kyle W. Martin , John D. Elgin , Brian L. Kasch , Sean P. Krzyzewski

In cognitive radio systems, secondary users can utilize multiple dispersed bands that are not used by primary users. In this paper, time delay estimation of signals that occupy multiple dispersed bands is studied. First, theoretical limits…

Information Theory · Computer Science 2016-02-17 Fatih Kocak , Hasari Celebi , Sinan Gezici , Khalid A. Qaraqe , Huseyin Arslan , H. Vincent Poor

When my brilliant student Thotsaporn "Aek" Thanatipanonda asked me about how many ways can one cover n identical twins, it rang a Bell back to 1981 (see the article). As usual, the method of teaching the computer how to do its own…

Combinatorics · Mathematics 2009-09-21 Doron Zeilberger

Clock synchronization is necessary for communication and distributed computing tasks. Previous schemes based on photon timing correlations use pulsed light or photon pairs for their strong timing correlations. In this work, we demonstrate…