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An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the dynamics may change and the phenomenon of resonance can appear. In this context,…

Dynamical Systems · Mathematics 2019-02-20 Rafael Ortega , David Rojas

This tutorial, addressing physics teachers and undergraduate students, aims at clarifying some aspects of time in special relativity. In particular, time dilation is usually presented only as the well-known ratio of lab time over proper…

Physics Education · Physics 2023-06-19 Winfried A. Mitaroff

We investigate the effects of a time-correlated noise on an extended chaotic system. The chosen model is the Lorenz'96, a kind of "toy" model used for climate studies. Through the analysis of the system's time evolution and its time and…

Chaotic Dynamics · Physics 2009-11-13 Jorge A. Revelli , Miguel A. Rodriguez , Horacio S. Wio

The special theory of relativity teaches us that, although distinct inertial frames perceive the same dynamical laws, space and time intervals differ in value. We revisit the problem of time contraction using the paradigmatic model of a…

Quantum Physics · Physics 2020-05-21 Matheus Fritsch Savi , Renato Moreira Angelo

An alternative to the current accepted model of expanding universe is presented. The proposal is anchored in the objective realist, stochastic formulation of quantum mechanics wherein the Planck constant plays the role of a diffusion…

General Physics · Physics 2014-02-18 R. Ramanathan

We propose a novel mechanism to test time variation of the propagation speed of gravitational waves (GWs) in light of GWs astronomy. As the stochastic GWs experience the whole history of cosmic expansion, they encode potential observational…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Yi-Fu Cai , Chunshan Lin , Bo Wang , Sheng-Feng Yan

A new approach in the Newtonian space and time, based upon the assumption that inertial mass is the quantitative measure of the matter. It has been shown that in case of a special physical system, a supposed matter transfer may reproduce…

General Physics · Physics 2013-08-13 P. Doleschall

Optical lattice clocks (OLCs) enable us to measure time and frequency with a fractional uncertainty at $10^{-18}$ level, which is 2 orders of magnitude better than Cs clocks. In this article, after briefly reviewing OLCs and the history of…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Hisaaki Shinkai , Masao Takamoto , Hidetoshi Katori

In Gedankenexperiment mentioned in the title, the imprecision in space-time measurement is related to the spreading of clock's wave-function with the passage of time required for the measurement. Special relativity puts a bound on the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Michael Maziashvili

Many condensed matter systems are such that their collective excitations at low energies can be described by fields satisfying equations of motion formally indistinguishable from those of relativistic field theory. The finite speed of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Barcelo , Gil Jannes

In order to respect the Principle of Relativity, the analysis of the behavior of the longitudinal light clock reveals the necessity to extend the Doppler effect also to space and time. As a consequence, the bodies in inertial motion must…

General Physics · Physics 2015-11-16 Giovanni Zanella

The standard formulation of quantum theory relies on a fixed space-time metric determining the localisation and causal order of events. In general relativity, the metric is influenced by matter, and is expected to become indefinite when…

Quantum Physics · Physics 2020-06-08 Esteban Castro-Ruiz , Flaminia Giacomini , Alessio Belenchia , Časlav Brukner

The effect of gravity and proper acceleration on the frequency spectrum of an optical resonator - both rigid or deformable - is considered in the framework of general relativity. The optical resonator is modeled either as a rod of matter…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Dennis Rätzel , Fabienne Schneiter , Daniel Braun , Tupac Bravo , Richard Howl , Maximilian P. E. Lock , Ivette Fuentes

We study the propagation of sound waves in a Bose-Einstein condensate trapped in a one-dimensional optical lattice. We find that the velocity of propagation of sound wavepackets decreases with increasing optical lattice depth, as predicted…

Soft Condensed Matter · Physics 2009-11-10 C. Menotti , M. Kramer , A. Smerzi , L. Pitaevskii , S. Stringari

Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vratko Polák , Vladimír Balek

An orbiting `photon clock' is proposed to test directly the relativity of simultaneity effect of special relativity. This is done by exchanging microwave signals between two satellites in low Earth orbit carrying clocks that have previously…

General Physics · Physics 2011-06-06 J. H. Field

The conflict between quantum theory and the theory of relativity is exemplified in their treatment of time. We examine the ways in which their conceptions differ, and describe a semiclassical clock model combining elements of both theories.…

Quantum Physics · Physics 2019-01-23 Maximilian P. E. Lock , Ivette Fuentes

In special relativity theory the physical quantities are generally expressed as function of the velocity. In the particular case of an extended object, the factor 1/gamma of Lorentz contraction of its length in the direction of motion is…

General Physics · Physics 2013-07-25 E. R. Cazaroto

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

In general relativity, the picture of spacetime assigns an ideal clock to each worldline. Being ideal, gravitational effects due to these clocks are ignored and the flow of time according to one clock is not affected by the presence of…

Quantum Physics · Physics 2017-05-09 Esteban Castro-Ruiz , Flaminia Giacomini , Časlav Brukner