The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.

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Time dilation of a body A with respect to B [duplicate]

Let there be two bodies a and b. Let a be on Earth and b in space with velocity $(√3/2)c$. Then let the time interval which has passed (on the earth) be twice that of the time interval of which passed ...
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Bell inequality violations evidence for 1935 EPR claims?

Is it possible that Bell inequality tests provide experimental evidence in support for the EPR claims in their 1935 paper titled "Can Quantum-Mechanical Description of Physical Reality Be Considered ...
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Constancy of the speed of light in the hypotenuse of the triangle in the Michelson and Morley experiment [on hold]

In Michelson and Morley experiment, Michelson calculated that the total time traveled by light with respect to the stationary observer standing at ether field was $2L/c$. Here, Michelson followed ...
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$(1/2, 0)$ representation of the Lorentz Group $SO(1,3)$

Let us consider the $(j, j') = \left(\frac{1}{2}, 0\right)$ representation of $SO(1, 3)\cong SU(2) \otimes SU(2)$. $j = \frac{1}{2}$ corresponds to $SU(2)$ generated by $$ \tag{1} N_i^+ = \frac{1}{...
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Can we work out how fast we are traveling by looking at our mass?

If we (the galaxy) were traveling close to the speed of light; relativity says we would need proportionally more energy to go faster. Given that relative to the cosmic microwave background, the Local ...
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Does the factor $k$ in Hooke's law change in special relativity? [on hold]

let's say an object is tied to a spring and it's oscillating. But this system is moving in 0.5c. Then, the period of this oscillation increases. But the problem is $k$. I think the $k$ increases ...
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59 views

Is there energy output when mass moves between two spacetimes [on hold]

Is there energy output when mass $m$ moves between two spacetimes? Say, it starts in a flat spacetime and then falls into a black hole (other examples don't come to mind, but this doesn't mean they ...
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The “Other” mechanical clock appears to click slower from both observers point of view. How? [duplicate]

In professor Shankar's Yale University lecture Lorentz transformation video, https://www.youtube.com/watch?v=202fU9qIVK4 , at the time period between 49:00 to 53:00, he describes light clocks and how ...
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Why does the Klein-Gordon propagator $D(x)$ depend on the sign of $x^0$?

In A. Zee's Quantum filed theory in a nutshell, it says the Klein-Gordon propagator depend on the sign of $x^0$. Here $x=(x^0,x^1,x^2,x^3)$. $$D(x)=-i\int \frac{d^3k}{(2\pi)^32\omega_k}[e^{-i(\...
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What is the velocity of the photon through the fourth dimension x4? [on hold]

Photons are real, physical objects. The fourth dimension is a real, physical entity. Therefore, photons must have a relationship with the fourth dimension. They must have some velocity relative to ...
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How do clocks in inertial frames speed up from the point of view of accelerating observers, like in the twin paradox thought experiment? [closed]

At the end of a twin's space voyage just as he starts decelerating, I know that the traveling twin sees his brother's clock on Earth speed up, which makes sense...EXCEPT that conclusion elicits the ...
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A rocket is receding from the earth at [closed]

A rocket is receding from the Earth at speed of $0.2 c$ where $c$ is velocity of light. It emits signals of frequency $4 \times 10^7 $Hz. The apparent frequency observed by an observer on earth is
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Is the light in a Lorentzclock going slower when you travel with it with 0.9c? [closed]

In a Lorentzclock the light is bounced between the two mirrors with his speed of appr. 300.000km/s. Now when things speed up their time goes slower. But the light is always c, so in the Lorentsclock ...
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Space-Time Geometry that shortens time intervals?

So we've all heard of the concept of time dilation and length contraction (from both general and special relativity). Suppose we work with a metric of a black hole, and person A is far, far away and ...
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Is there a limit in angular speed in special relativity? [duplicate]

I was thinking in the following problem: Suppose I have a bar of lenght $l$. If I spin it with constant angular velocity $\omega$, according to the special theory of relativity, is there a limit ...
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Wouldn't a photon disappear because of length contraction? [duplicate]

I was experimenting with the formula for length contraction, when I realized that anything traveling at the speed of light shrinks out of existence. This is the formula for length contraction: $$T=T'\...
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Is it possible to introduce 4-velocity very early on?

I was wondering if it would be possible to teach new physics students about 4-velocity straight away at the beginning of their studies. Keeping the regular notion of the three dimensional velocity $\...
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154 views

Have scientists ever experimentally proved the Andromeda paradox-like events? [closed]

We all know that a light year is of the order of 1016 metres and all the objects in the space are beyond a light year. So the Andromeda paradox should give considerable difference in time while ...
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59 views

Synchronization of clocks using material waves

I am not a physicist by training, but I have studied special relativity enough to understand why simultaneity is a relative concept, and so why if you synchronize clocks in one inertial frame, an ...
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Inference of relativistic time dilation wrong?

One popular example of relativistic time dilation uses the idea of a Light clock where time is measured in terms of cycles the light between the two mirrors (which are at distance L from each other) ...
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Does the speed of light in vacuum define the universal speed limit?

Is light the thing causing the universal speed limit to be $299\,792\,458\,\mathrm{m/s}$? So the universal speed limit would be different if light travelled faster or slower? Or, is $299\,792\,458\,\...
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In a moving light clock, does the velocity of the clock add to the velocity of the light?

Currently going through the class Space, Time and Einstein from worldscienceu. On module Time in Motion an example is given of 2 light clocks, one moving and one stationary. The point is made that ...
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Can anyone clarify this example of Relativity of Simultaneity [closed]

While doing this course: http://www.worldscienceu.com/ I couldn't understand this example http://www.youtube.com/watch?v=53oAxycVhhg. (full example here https://www.youtube.com/watch?v=Iiugtmt18W4) ...
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Can sound waves be used as simple explanation of relativity effects in STR?

There are so many similarities (Doppler Effect, independence of wave velocity from source speed etc..). Try moving in your car with music and ask you friend outside record it while you moving towards ...
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Expanding Universe [closed]

So an expanding universe has the metric $$ds^2 = g_{\mu \nu} dx^\mu dx^\nu = -dt^2 + a(t) ( dr^2+r^2 d\Omega^2)$$ where $d\Omega^2 = d\theta^2 + \sin^2\theta d\varphi^2$ as the usual spherical ...
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Why under Lorentz transformations the Higgs boson is a scalar field and under $SU(2)$ it is a doublet?

I am a bit confused about this difference. My understanding is that when we build a $G$-bundle, where $G$ is a gauge group, we have a representation $\rho:G\to GL(V)$ that acts on the fibers of the $G$...
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Why Do Glueballs Have Mass, When Individual Gluons Are Massless?

From Wikipedia Glueballs Glueballs are predicted by quantum chromodynamics to be massive, notwithstanding the fact that gluons themselves have zero rest mass in the Standard Model. Glueballs with ...
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Is it possible that all “spontaneous nuclear decay” is actually “slow neutrino” induced?

This thought was inspired by a comment from the current leading answer, by @Sentry, to the question Where are all the slow neutrinos? This [slow-neutrino induced nuclear decay] will still be an ...
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Where are all the slow neutrinos?

The conventional way physicists describe neutrinos is that they have a very small amount of mass which entails they are traveling close to the speed of light. Here's a Wikipedia quote which is also ...
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In Einstein's “relativity of simultaneity” thought experiment, would not the passenger on the train see a dimmer signal? [closed]

This is the updated, more precise question--is this a paradox?: Suppose a rocket traveling close to the velocity of light which emits a single photon from its midpoint at point A, illustrated ...
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Why did Einstein retain the hypothesis of length contraction?

Why did Einstein retain the hypothesis of length contraction, which Lorentz introduced to save his æther theory, yet Einstein had no need to accept length contraction because he rejected the æther?
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What is the meaning of a (1/2, 1/2) representation?

A spin-1 representation is equivalently a (1/2, 1/2) representation of the Lorentz group. Does this mean we are summing together two irreducible representations labelled by the 'quantum number' a 1/2 ...
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Why does the clock work slowly at higher speed? [duplicate]

I know nothing about relativity but I cannot accept that there is a phenomenon called time dilation. However I have no problem with it because of mathematics behind it. I have no problem if time is ...
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Why we assign a rotation transformation and not any other when we derive Lorentz factor

I can't truly understand why when we derive Lorentz factor we should assume that the transformation of coordinates is rotational one. In the book "Relativity demystified" they say that: "In some ...
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Space travel and time dilation

I want to know how long it takes, from an observer in a spaceship moving at constant velocity $v=\beta c$, to cover a distance $d$. From a stationnary observer outside, the spaceship goes at a ...
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With respect to what can't we travel at the speed of light? [closed]

According to theory of relativity the speed of light in vacuum is ultimate. But since objects move relative to each other, with respect to what can't we travel at the speed of light?
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What happens in this collision? [closed]

First, I describe a simple contraption. Second, I describe a simple collision. Third, I replace a box in the collision with the contraption and ask whether, "What happens after the collision?"-i.e., "...
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Relative speed of two space ships moving at speed of light [duplicate]

If two space ships sped away from each other at the speed of light, would they be moving at twice the speed of light away from each other?
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Isn't the “constant speed of light” postulate valid also for sound waves?

The second postulate of Special Relativity says: As measured in any inertial frame of reference, light is always propagated in empty space with a definite velocity c that is independent of the ...
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trouble reconciling doppler shift for energy and momentum of light

[See late addition at bottom for what currently remains unresolved in this question.] I have seen the assertion in a couple of places that if you trap light in a reflective resonator, or any other ...
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Two-dimensional momentum

Suppose a particle travels with velocity $v$ in both the $x$ and $y$ direction. Its velocity along the $x$-$y$ line is $\sqrt{2}v$. Its momentum along the $x$-$y$ line is $$p_{xy} = \frac{\sqrt{2}v}{\...
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Can relativistic mass be treated as rest mass?

In what real sense does the mass of an object increase with its speed? When we learn that the mass of an object increases according to the equation, $$m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}}$$ We ...
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1answer
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Time Dilation of one frame wrt other

Suppose A and B are two objects , with B travelling at some constant velocity v wrt A. After B covers some distance, A(the person in A) notes in his clock as 30sec elapsed. Then from A's perspective, ...
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What is the resolution of this Lewis-Tolman like paradox?

Though my question stands on its own, here is a brief overview of a well-explored question which I think might be helpful in finding the resolution to my question. The Lewis-Tolman Lever Paradox has ...
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Atomic Weight and Time Dilation

So, this might sound kind of ridiculous but I was thinking about Relativity and since Gravity is a warping of Space-Time, or Time Dilation, why don't we measure Atomic Mass in Units of Time Dilation? ...
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When particle number can change in quantum physics?

Let me write a paragraph from D.Tong lecture notes on QFT-chapter2 when he is talking about non-relativistic limit of scalar quantum field theory : A related fact is that the conserved charge $Q=\...
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Is measure relative velocity the same for both observer n particle

A particle is moving at velocity v. A stationary observer tries to measure its velocity. From the observer reference frame, he will measure a shorter distance travel as compared to what the particle ...
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Lorentz Invariance of Entropy

So I am working on Relativistic Thermodynamics and I have skimmed through a few papers by Hamity, Callen, etc. People are not in agreement as far as I know, but I don't understand why people don't ...
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Can molecules/atoms/any subatomic particle cause space time curvature?

Space-time curvature is caused by huge objects in space like black holes, merging black holes, or planets. This curvature is what causes gravity. Can molecules cause at least a really tiny curve ?
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Why doesn't the relativistic formula for momentum appear consistent with collisions?

The relativistic formula for momentum is $$p = \frac{mv}{\sqrt{1 - \dfrac{v^2}{c^2}}} \,.$$ In the following example, I apply the formula in the most basic way possible to the addition of velocities. ...