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We can simply derive this from the Lorentz transform. With the $x$ direction parallel and the $y$, $z$ directions perpendicular the Lorentz transform is: $$t'=\gamma \left(t-\frac{vx}{c^2} \right)$$ $ …

Alice reasons that it will be impossible for the crate launch to be timed in such a way, that the crate will snuggly slide through the window, without one of the crate's faces colliding with the wind …

The Coriolis force is not mentioned above because the disk and the observer are all at rest in the rotating frame. As soon as something is moving in the rotating frame then the Coriolis force will bec …

Typically we would not consider each mirror to constitute a “tick” but rather a full round trip. However, that is rather minor and is just a small semantic issue. The resolution to this paradox is tha …

My question is why is it being assumed that the earth frame observer seeing that the ahead flash hits the observer in the train first imply that the train observer would also see the ahead flash firs …

Suppose that Angie flips a coin and wants to communicate to Billy the result of that flip. This is what is meant by “information”. She may communicate the result of the flip by drawing different symbo …

So how can we say or prove time dilation in a moving frame or disprove simultaneity using this thought experiment? Am I wrong somewhere? Let’s step away from thought experiments for a moment and …

There is a bit of confusion in this question. In the title it says “acceleration only in the time dimension” and in the body of the question it says “moving away in the time dimension only”. The latte …

Now since it is left on its own (with no external disturbing i.e. no external work) its kinetic and potential energy should just keep transforming into one another and lost of one must appear in the …

it would be convenient if there was a way to synchronize the clocks perfectly (or near as darn it) The easier way is to equip the lattice clocks with radio transmitters and receivers and synchronize …

What am I doing wrong? In your analysis of the situation in the embankment view you said that the position of the front of the train is given by $\frac{l}{2}+V t'$ but because of length contraction …

Typically we would not consider each mirror to constitute a “tick” but rather a full round trip. However, that is rather minor and is just a small semantic issue. In principle your analysis is correct …

But yet, how does light "decides" to agree (by going straight) with one point of view instead of the other ? Light doesn’t decide anything. It simply follows Maxwell’s equations. Different frames ar …

In every thought experiment we state that observers should agree on what is happening in some way. Problem is that this is not always true! If I state that observers in different frames should agree …

You are not making a mistake, except in thinking that this is a problem. As always, the key to solving this dilemma is the relativity of simultaneity. For simplicity consider the following geometry: i …