I How to correctly mark event B on the picture?

[Mike_bb]

Hello!

I have photon clock that moves to right side with velocity V.
In the first case events A and B are depicted on the picture on the top side:

In accordance with the Principle of Relativity I obtained second case.
But I can't mark event B in the second case on the bottom side. Where is event B located in this case?

Thanks!

 

[Histspec]

I guess you describe the same events A and B from the viewpoint of two different frames: In the first frame (upper image), the light clock moves to the right, in the second frame (lower image) it moves to the left. If that's the case, then event B on the lower image is located in the middle of the left-bottom mirror where it meets the arrow.

 

[Ibix]

It's difficult to know because you haven't described the experiment clearly. @Histspec's guess is reasonable and may be correct, but it's a guess.

You say the clock is moving to the right. Presumably that's in the top picture. Is it supposed to be moving to the left in the lower picture? That's what I would guess, but that's an unusual thing to do with a light clock since it doesn't really gain you anything. What's the extra quantity $t_0$ in the srcond diagram? How does it relate to anything else? Is the shading of the mirrors meant to be indicative of something? And what are events A and B supposed to be?

In particular, if you write down a description of A and B I suspect you will answer your own question.

 

[Mike_bb]

It's difficult to know because you haven't described the experiment clearly. @Histspec's guess is reasonable and may be correct, but it's a guess.

You say the clock is moving to the right. Presumably that's in the top picture. Is it supposed to be moving to the left in the lower picture? That's what I would guess, but that's an unusual thing to do with a light clock since it doesn't really gain you anything. What's the extra quantity $t_0$ in the srcond diagram? How does it relate to anything else? Is the shading of the mirrors meant to be indicative of something? And what are events A and B supposed to be?

In particular, if you write down a description of A and B I suspect you will answer your own question.

In the top picture clock is moving to right. But in the lower picture clock is rest. (In accordance with Principle of Relativity)

$$c^2\Delta t^2-\Delta x^2 = c^2\Delta t_0^2-\Delta x'^2$$

 

[PeroK]

In the top picture clock is moving to right. But in the lower picture clock is rest.

Then, in the second picture there is no velocity $v$ and no moving clock. Event A occurs directly above event B.

 

[Mike_bb]

Then, in the second picture there is no velocity $v$ and no moving clock. Event A occurs directly above event B.

These equality for first and second picture:

$$c^2\Delta t^2-\Delta x^2 = c^2\Delta t_0^2-\Delta x'^2$$
$$c^2\Delta t_0^2-\Delta x'^2 = c^2\Delta t^2-\Delta x^2$$

In accordance with Principle of Relativity we have that first frame and second frame are reversable. It's shown on the first and second picture.

 

[Mike_bb]

Event A occurs directly above event B.

Thanks. It's right!