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Twins travelling at constant relative velocity will each see the other's time dilate leading to the apparent paradox that each twin believes the other ages more slowly. In a finite space, the twins can both be on inertial, periodic orbits…

广义相对论与量子宇宙学 · 物理学 2009-11-07 John D. Barrow , Janna Levin

Relativistic rigid motion suggests a new version for the so-called `twin paradox', comparing the ages of two astronauts on a very long spaceship. Although there is always an instantaneous inertial frame in which the whole spaceship, being…

广义相对论与量子宇宙学 · 物理学 2017-01-12 Uri Ben-Ya'acov

The twin paradox is the best known thought experiment associated with Einstein's theory of relativity. An astronaut who makes a journey into space in a high-speed rocket will return home to find he has aged less than a twin who stayed on…

广义相对论与量子宇宙学 · 物理学 2009-11-02 J. -P. Luminet

The famous twin paradox of the Special Theory of Relativity by Einstein (1905) is revisited and revised. This paradox is not a paradox in the true sense of a paradox but a reflection of a misunderstanding of the problem and the Principle of…

综合物理 · 物理学 2008-09-06 G. G. Nyambuya , M. D. Ngobeni

The twin paradox of the special theory of relativity has given rise to a large body of literature discussing its implications. In its standard form, the traveler changes velocity only at the destination of the trip, so that he appears to…

综合物理 · 物理学 2016-10-12 David A. de Wolf

We discuss the twin paradox or the clock paradox under the small velocity approximation of special relativity. In this paper the traveller twin of the standard twin parable sets out with a non-relativistic speed for the trip leaving behind…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. K. Ghosal , Saroj Nepal , Debarchana Das

If space is compact, then a traveller twin can leave Earth, travel back home without changing direction and find her sedentary twin older than herself. We show that the asymmetry between their spacetime trajectories lies in a topological…

经典物理 · 物理学 2008-11-26 Jean-Philippe Uzan , Jean-Pierre Luminet , Roland Lehoucq , Patrick Peter

The clock paradox is analyzed for the case when the onward and return trips cover the same <<distance>> (as observed by the traveling twin) but at unequal velocities. In this case the stationary twin observes the distances covered by her…

综合物理 · 物理学 2008-09-26 Chandru Iyer , G. M. Prabhu

Conventional wisdom, based on kinematic (flat-space) intuition, tell us that a static twin is aging faster than his traveling twin brother. However, such a situation could be exactly inverted if the two twins are embedded in an external…

广义相对论与量子宇宙学 · 物理学 2014-09-08 M. Gasperini

In the standard formulation of the twin paradox an accelerated twin considers himself as at rest and his brother as moving. Hence, when formulating the twin paradox, one uses the general principle of relativity, i.e. that accelerated and…

综合物理 · 物理学 2010-02-23 Oyvind Gron

In contrast to Newtonian physics, there is no absolute time in relativistic (Lorentzian) spacetimes. This immediately implies that two twins may, in general, age at different rates. For this to happen, there must be, of course, some…

广义相对论与量子宇宙学 · 物理学 2025-09-29 T. A. A. da Câmara , P. S. Lemos , M. O. Calvão , F. D. Sasse

In this paper we treat the so called clock paradox in an analytical way by assuming that a constant and uniform force F of finite magnitude acts continuously on the moving clock along the direction of its motion assumed to be rectilinear.…

经典物理 · 物理学 2007-05-23 Lorenzo Iorio

Recently Abramowicz and Bajtlik [ArXiv: 0905.2428 (2009)] have studied the twin paradox in Schwarzschild spacetime. Considering circular motion they showed that the twin with a non-vanishing 4-acceleration is older than his brother at the…

广义相对论与量子宇宙学 · 物理学 2011-09-21 O. Gron , S. Braeck

In a multiply connected space, the two twins of the special relativity twin paradox move with constant relative speed and meet a second time without acceleration. The twins' situations appear to be symmetrical despite the need for one to be…

天体物理学 · 物理学 2008-11-26 Boudewijn F. Roukema , Stanislaw Bajtlik

The accepted resolution of the twin paradox in relativity states that the age of the inertial twin `jumps' when the traveling twin undergoes his turn-around acceleration. This resolution is based on the use of the equivalent gravitational…

经典物理 · 物理学 2012-07-05 Vasant Natarajan

We consider the twin paradox of special relativity in a universe with a compact spatial dimension. Such topology allows two twin observers to remain inertial yet meet periodically. The paradox is resolved by considering the relationship of…

广义相对论与量子宇宙学 · 物理学 2009-09-29 Dhruv Bansal , John Laing , Aravindhan Sriharan

In this paper we deal analytically with a version of the so called clock paradox in which the moving clock performs a circular motion of constant radius. The rest clock is denoted as (1), the rotating clock is (2), the inertial frame in…

经典物理 · 物理学 2008-11-26 Lorenzo Iorio

This article revisits the historiography of the problem of inertial frames. Specifically, the case of the twins in the clock paradox is considered to see that some resolutions implicitly assume inertiality for the non-accelerating twin. If…

综合物理 · 物理学 2012-02-15 Subhash Kak

Despite being a major component in the teaching of special relativity, the twin `paradox' is generally not examined in courses on general relativity. Due to the complexity of analytical solutions to the problem, the paradox is often…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Kenneth K. H. Fung , Hamish A. Clark , Geraint F. Lewis , Xiaofeng Wu

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are…

经典物理 · 物理学 2009-11-11 Preston Jones , Lucas F. Wanex
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