On Friday, January 24, 2025 at 10:29:03 PM UTC-7 Brent Meeker wrote:

On 1/24/2025 5:06 PM, Alan Grayson wrote:

        On Friday, January 24, 2025 at 2:21:43 PM UTC-7 Jesse Mazer wrote:

On Fri, Jan 24, 2025 at 4:04 PM Alan Grayson <[email protected]> wrote:

On Friday, January 24, 2025 at 10:41:45 AM UTC-7 Jesse Mazer wrote:

On Fri, Jan 24, 2025 at 8:53 AM Alan Grayson <[email protected]> wrote:



On Thursday, January 23, 2025 at 11:46:46 PM UTC-7 Brent Meeker wrote:

That's exactly what my diagram shows.  Didn't you look at it?

Brent


Sure, I looked at it but I prefer text, and I forgot you're a deaf mute. 
And NO, I didn't know that frame transformations can invert time 
relations.  Let's forget it. I forgot you prefer your riddles. Grade C- . AG


The point that the LT can change the order of events with a spacelike 
separation is one I also talked about many times on the previous thread, 
for example at 
https://groups.google.com/g/everything-list/c/vcrAzg4HSSc/m/knVuCxHFAwAJ 
where I wrote: "Because as you previously agreed, the question of whether 
the car fits reduces to the question of whether the event A = back of car 
passes front of garage happens before, after, or simultaneously with the 
event B = front of car reaches back of garage. Since these events have a 
spacelike separation in both Brent’s and my numerical examples, in 
relativity different frames can disagree on their order, that’s the whole 
reason we say frames disagree on whether the car fits." Likewise in 
https://groups.google.com/g/everything-list/c/gbOE5B-7a6g/m/MwKDuJM-AQAJ 
where I wrote: "Do you understand that when people talk about the 
relativity of simultaneity in the context of the car/garage problem, they 
are referring not just to events which are actually simultaneous in some 
frame, but also the fact that different frames can disagree about the 
time-ordering of events with a spacelike separation (i.e. neither event is 
in the past or future light cone of the other event)? The events A and B I 
was talking about earlier are not simultaneous in either the car frame or 
the garage frame (at least not with the numerical values for rest lengths 
and relative velocity given by Brent), but they happen in a different order 
in the two frames, and the relativity of simultaneity is key to 
understanding how that's possible, in Newtonian physics where all inertial 
frames agree about simultaneity there could be no disagreement about the 
order of any events."

Brent has made this point in the past as well, for example at 
https://groups.google.com/g/everything-list/c/gbOE5B-7a6g/m/WcxkopmjAAAJ 
where he wrote: "The facts are events in spacetime.  There's an event F at 
which the front of the car is even with the exit of the garage and there's 
an event R at which the rear of the car is even with the entrance to the 
garage.  If R is before F we say the car fitted in the garage. If R is 
after F we say the car did not fit.  But if F and  R are spacelike, then 
there is no fact of the matter about their time order.  The time order will 
depend on the state of motion."

Did you really not remember any of these discussions, or did you just 
misunderstand the meaning of "invert time relations" to be something 
different than the idea that two events A and B with a spacelike separation 
can have a different time-order in different frames?


Of course I recall, but I haven't had time to research the issue, such as 
why the frames in the problem are, or might be, spacelike separated. AG 


Frames have no specific location, they are coordinate systems covering all 
of spacetime, so it doesn't make sense to say *frames* can be spacelike 
separated.


*Right. I was skeptical about what I wrote, when I wrote it. OTOH, since 
EVENTS can be spacelike separated, I don't see any such events in this 
problem. For example, the ends of the car aren't spacelike separated; 
neither are the ends of the garage. If Brent weren't a failing teacher of 
SR, he would specify what he means. I am in no mood to guess his meaning. 
AG*





*You mean you just want to keep trolling Jesse. Brent*


*No. Of course not. All your education, but in the final analysis, when it 
comes to teaching SR, you're a worthless, insulting prick. Jesse uses text, 
and I find it very useful. Jesse; hold up on your posts while I catch up. 
AG *

 

It's pairs of points in spacetime, or equivalently pairs of local physical 
events occuring at each point (like the event of the back of the car 
passing the entrance of the garage vs. the event of the front of the car 
reaching the back of the garage), that can be spacelike separated. If you 
know the distance x and time interval t between the two points/events in 
the coordinates of any inertial frame, to say they are spacelike separated 
just means that x > ct (and an equivalent definition is that neither point 
is in the past or future light cone of the other one). For any two such 
points/events A and B with a spacelike separation, you can always find some 
frames where A occurs before B and other frames where B occurs before A, 
that's something that can be derived from the Lorentz transformation 
equations.

Jesse

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