Recent content by villy

Thanks for all the answers.

Yeah, I finally got what I was missing. Out of curiosity, what was the part that required advanced calculations?

I'm still missing something. I see no need for advanced calculations. Looking at B, A can calculate then when A measures the passage of 100y, B will have experienced the passage of 50 y (and it's relative position in space). Looking at C, B can similarly calculate then when B measures 50 y, C...

No I set C up to have the same relative speed with A as B did, but moving in a different, unspecified direction, such that we get the appropriate speed between B and C.

Right, I can see how my phrasing is quite bad. What I mean is this: We can analyze the A B system, from A's perspective, ignoring C. If we assume (arbitrarily) a value of Δt=100 years, we can calculate where B will be in space, and how much time will have passed for B (Δτ=50 y), based on the...

Can I ask this, for clarification? There is a way to establish simultaneity between 2 points on two world lines right? If one point is simultaneous with another (on different lines obviously) does it follow that the reverse is true? Choosing a time interval of 50 years for B and calculating the...

As far as I can tell it could be anything varying from 1, for an angle of 0 to a value that has to be larger than 2 for an angle of 180. You are correct though, this has gotten quite further away from where I'm comfortable with the math. When I said I'm visualizing it, I only meant the simple...

Just an arbitrary number to account for a difference in velocity.

True, I do have plenty I need to understand better. I understand that everything can be worked out properly for 2 objects. It just doesn't seem to fit together with 3 objects for me. I do appreciate all the answers. Edit: I'm not trying to learn how to run, or expecting anyone to be able to...

I mean the point on the wordline of B that appears to be simultaneous with Aa1, from the perspective of A. Otherwise yes to all your assumptions. As for the diagram, I am picturing it, it's just that it requires 2 dimensions for space, so a 2D ilustration would only serve to increase confusion...

No, I meant geometrically, there is a method to define the distance between a point and a line. Isn't there a operation we can define in this framework? An operation that always points to the same point on the worldline of B, given a point on the worldline of A.Let me phrase it like this: Excuse...

Right, I get your point, no such thing as the distance between 2 intersecting straight lines. I guess what I'm looking for is the distance between a point on the worldline of object A (Δt=100y) and the worldline of B. Is that something that makes sense under this framework?

Isn't it possible to define the end of the experiment in the second scenario as when the spacetime distance between A and B is a given value? The spacetime distance between A and C will be equal, right? Since B and C are moving at the same velocity with respect to A, wouldn't the lengths of the...

Sorry, I'm not trying to complicate the the situations, just attempting to highlight the point I'm confused about. In the first situation we were able to calculate the difference in elapsed time between BC, based on the differences between AB and AC. In the second situation, can't we do the...

So, knowing only that from our perspective, 2 other clocks appear in sync, we don't have the information to say anything about how they appear to each other. I still can't really wrap my head around it. In my initial formulation, with the return trips, we could say what the relationship...