scholarly journals The Problem of the Twin Paradox Elucidated Based on a Thought Experiment Carried out by Discriminating Between a Classically Stationary Frame and Moving Frame

2018 ◽  
Vol 09 (02) ◽  
Author(s):  
Suto K
Author(s):  
Jean‐Pierre Luminet

This chapter notes that 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 his twin who stayed on Earth. This result appears puzzling, as the homebody twin can be considered to have done the travelling with respect to the traveller. Hence, it is called a “paradox”. In fact, there is no contradiction, and the apparent paradox has a simple resolution in special relativity with infinite flat space. In general relativity (dealing with gravitational fields and curved space-time), or in a compact space such as the hypersphere or a multiply connected finite space, the paradox is more complicated, but its resolution provides new insights about the structure of space–time and the limitations of the equivalence between inertial reference frames.


2017 ◽  
Vol 9 (2) ◽  
pp. 77
Author(s):  
Koshun Suto

This paper discusses the “triplet thought experiment” in which accelerated motion is eliminated from the famous twin paradox thought experiment of the special theory of relativity (STR). The author considers the coordinate systems of an inertial frame M and rocket A moving at constant speed relative to each other. First, an observer in inertial frame M performs the triplet thought experiment, and it is confirmed that the delay in time which elapses in the moving system agrees with the predictions of the STR. However, the delay in time predicted by the STR is observed even in the case when an observer A in rocket A carries out the triplet thought experiment. Before starting movement at constant velocity, rocket A experiences accelerated motion. The coordinate system of rocket A cannot be regarded physically as a stationary system. Even so, observer A observes the delay predicted by the STR. If the previous, traditional interpretation is assumed to be correct, observer A will never observe a delay in time agreeing with the predictions of the STR. To avoid paradox, the previously proposed traditional interpretation must be revised.


2018 ◽  
Vol 10 (4) ◽  
pp. 38
Author(s):  
Koshun Suto

In the thought experiment in this paper, we consider inertial frames M and A moving at constant velocity relative to each other. First, a light signal is emitted from inertial frame M toward inertial frame A when the time on a clock in inertial frame M is 1 (s). In the scenario of this paper, that light arrives at inertial frame A when time on the clock in A is 2 (s). Next, the situation is reversed, and a light signal is emitted from inertial frame A toward inertial frame M when the time in inertial frame A is 1 (s). That light arrives at inertial frame M when the time in M is 2 (s). According to the special theory of relativity (STR), the two inertial frames are equivalent, and thus it is not surprising that symmetric experiment results are obtained. However, it has already been pointed out that, among the coordinate systems regarded by Einstein as inertial frames, there are “classically stationary frames” where light propagates isotropically, and “classically moving frames” where light propagates anisotropically. If a classically stationary frame is incorporated into a thought experiment, it becomes easier to predict the experiment results. This paper elucidates a system whereby symmetrical experiment results can be obtained, even if the two coordinate systems are not equivalent. If one attempts to explain such experiment results from the standpoint of the STR, it ironically requires the use of logic that is unacceptable under the STR. Thus, this paper explains those experiment results by using logic different from the STR, and demonstrates the breakdown in the STR.


2015 ◽  
pp. 123-140 ◽  
Author(s):  
O. Koshovets ◽  
T. Varkhotov

The paper considers the analogy of theoretical modeling and thought experiment in economics. The authors provide historical and epistemological analysis of thought experiments and their relations to the material experiments in natural science. They conclude that thought experiments as instruments are used both in physics and in economics, but in radically different ways. In the natural science, a thought experiment is tightly connected to the material experimentation, while in economics it is used in isolation. Material experiments serve as a means to demonstrate the reality, while thought experiments cannot be a full-fledged instrument of studying the reality. Rather, they constitute the instrument of structuring the field of inquiry.


1993 ◽  
Vol 32 (4I) ◽  
pp. 541-582 ◽  
Author(s):  
M. Ali Khan

I have no knowledge of either Sanskrit or Arabic. But I have done what I could to form a correct estimate of their value. I have never found one ... who could deny that a single shelf of a good European library was worth the whole native literature of India and Arabia. i If truth is not to be found on the shelves of the British Museum, where, I asked myself, picking up a notebook and a pencil, is truth.2 Education is a weapon whose effect depends on who holds it in his hand and who is struck with it.Consider a shop, here and now, which stocks a finite but very large number of commodities, each of whose characteristics is known to both the shoppers and the shopkeeper, and each of whose prices is posted at the shopdoor. Let one of these cOinmodities be units of undergraduate education, measured in years. The following scenario, thought-experiment if one prefers, brings out how the shop functions. I send someone shopping. I give him a slip marked "five years of undergraduate education." He takes the slip to the shopkeeper, who.......


2019 ◽  
Author(s):  
Matheus Pereira Lobo

We propose a thought experiment regarding the pullback Schwarzschild metric, considering that there is no interior of a black hole.


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