Recent content by curiousburke

Now you're just making stuff up:)

Do you mean Euclidean analogs of length contraction and time dilation?

Yes, this is very similar to what I was trying get at. I'll have to work specifically through those as you said.

It's been 30 years since undergrad course covering SR for me, and I'm not trying to insist on my definition of "fundamental", but that is the word Morin uses for these three effects.

I'm with you on LC and TD, but the relativity of simultaneity seems like a fundamental property of the spacetime that results from c=constant and relativity. Is this just semantics about what is fundamental? Maybe I'm just enamored with it because it's still new to me.

I haven't been eager to learn how to apply the Lorentz transforms because I feel like if I understood how to set them up, I would be able to analyze SR problems correctly without understanding the 3 fundamental effects, which is what I'm interested in. I like Morin's development because I...

I guess because it goes in the right direction, so I need to prove to myself it it really isn't the same thing. the back of the trains clock is ahead by Lv/c^2, and the train is short by gamma. It seems a reasonable guess to think they are related

I get that, but I still have to play

I wasn't clear. By "doesn't work", i meant that I couldn't get L/gamma from rear-clock-ahead and time dilation.

I was looking at my chicken scratching, and it still doesn't work out, but wouldn't the time that the clock is ahead (time in the train frame) L*v/c^2 get multiplied by gamma to get the time in the ground frame? So, it would be: $$ L’ = L -gamma * L * v^2/c^2 $$

Well, I thought maybe length contraction was simply a useful way of looking at SR which Morin presents. I know people IRL that claim length contraction isn't "real" and so I was wondering if this was the connection between the two perspectives. To your second question, like I said, I haven't...

Yeah, long pause, I have not gotten into the Lorentz transformation yet. That brings up a question that I have had. Does the Lorentz transformation completely encapsulate SR, specifically does it include everything you need to know about simultaneity?

What do you mean by "the interval"? Is that where the other gamma comes from? :) edit: Nevermind, spacetime interval. I get what you meant.

So, would you agree with Orodrun that there is an additional contraction above and beyond the clock being ahead? Sorry, converting between the 4d picture and the 1D train picture doesn't come naturally

I admit to trying to do the math and coming up one gamma short (edit: I meant too many). However, thinking about this is hard enough for me that I thought maybe I was missing a gamma due to a frame issue somehow