# Questions tagged [inertial-frames]

A specific reference frame that describes its coordinates in a manner that does not depend on time and is isotropic.

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### Would it be useful to our knowledge of time to have an electrical conductor with each end having a different rate of time passage? [closed]

I have not seen any recent experiments that could shed more information on the nature of time. It is possible to create a conductor (having access to both ends) that experiences time to flow at ...
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### What is Lorentz transform purpose abcd [closed]

Lorentz transform was created for: (only one is correct) a) to ensure Maxwell equations are unchangeable b) to ensure time passes equally in all inertial frames of reference c) to ensure ...
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### Chart transition maps in special relativity

To my understanding, Lorentz transformations are the chart transition maps between charts of different observers, but what would be the name of chart transition maps of a single observer? Naturally he ...
288 views

### Is the frequency of photon invariant?

I saw a stackexchange answer that says the energy of photons is dependent on the reference frame. I did some digging and found that this is because the frequency of photons is dependent on the ...
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### What is wrong with this derivation of the Special Relativity Doppler Shift formula?

I tried to use the Lorentz coordinate transformation between two inertial frames to generate the Doppler Shift formula, but I ended up with $\lambda$ over $\lambda'$ upside-down. I must have a ...
1 vote
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### What would be the angular momentum of one body (individually) in a two-body problem? Given that only masses and distance between them is known

Considering equation of motion: $$L = m r^2 \dot{\theta}$$ is constant angular momentum. Also see here. What would it be for two body problem?
106 views

### Abstract definition of four-vector

It is a long time that I am looking for an abstract definition of four-vectors. This is the definition that I have reach to so far: A four-vector is an element of the representation space of the ...
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### Confusion regarding pseudo force

I have been taught that a pseudo force is a force that appears to act on a mass whose motion is being described using a non-inertial frame of reference I have also been taught that pseudo force = - (...
1 vote
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### Time transformation term in Lorentz transformation

In the lorentz tranformation, I have got the following equation for time: $$t' = \dfrac{t - \dfrac{ux}{c^2}}{\sqrt{1-\dfrac{u^2}{c}}}$$ The $S'$ system is moving relative to $S$ system with speed $u$, ...
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### Velocity of one particle w.r.t. another

Let us say that two particles $p_1$ and $p_2$ are moving in an inertial frame fixed to some point on earth. Call this frame as world frame. The velocity of $p_1$ is $(v_{1x}, v_{1y})$ in $x-y$ ...
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### Derivation of Force Transformation

There is a system $S$ where a particle is moving at speed $v$ to any system $S'$ which is moving relative to system $S$ at a speed $V$. With $\gamma$ defined using $V$, the complete transformation is :...
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### Do vacuum solutions of Einstein's field equation violate Mach principle?

The Schwarzschild metric is mainly used to define the gravitational field on exterior region of an isolated, spherically symmetric body, but isolated bodies, according to Mach's Principle, are ...
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### How time-like unit four-vector is tangent to the observer's world-line?

I just have started studying special relativity and moving to general relativity Special relativity only deals with inertial frame (non accelerated frame) but there are no inertial frame in the curved ...
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### Why perpendicular axis are unaffected in special relativity?

In SR why are $y=y'$ and $z=z'$? I understand the examples they give to show physical contradictions if this was not the case, but it seems highly unsatisfactory as there is no physical basis for this ...
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### "Moving" clocks

In regard to relativity of simultaneity, why are clocks in the "moving" frame of reference unsynchronized (i.e., in the direction of motion, they run behind toward the front and ahead toward ...
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### Which will collide first to the imaginary line? (see the well drawn diagram)

So, we are having two similar blocks of mass $m$ each. Neglect the size of blocks and fixed pulley. For each block length between blocks and point of contact with pulley is $l$ initially. The block in ...
160 views

### Can one record a speed faster than $c$?

A ship goes to the moon at 0,5 c, the captain will record on his clock about 2 seconds and a half, right? Now he increases the speed to 0,999 c (or more), thanks to relativity he should record on his ...
1 vote
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### Which of these is the beta factor in special relativity? [closed]

Obviously, $\beta=v/c$. But in this case, I'm not too sure what $v$ represents. I've mostly done 1-D special relativity and therefore it is pretty clear in those cases. However say there are two ...
1 vote
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### Observing attraction between parallel wires from two perspectives

Two parallel wires through which there flows a current in the same direction. While the electrons are moving, obviously the wires attract each other (the right hand rule for magnetism and electricity)....
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### Is there any clear and concrete proof that says the Earth is rotating and orbiting? [duplicate]

As the title states, I am wondering if there exists a clear and concrete proof that proves that the earth is revolving around the sun on an orbit, and proves that the sun is not revolving around the ...