On Wednesday, January 8, 2025 at 10:46:42 PM UTC-7 Quentin Anciaux wrote:

AG, your self-congratulatory monologue is a masterpiece of revisionist 
history, bad physics, and unearned smugness. Let’s unpack your nonsense 
with all the precision your trolling deserves.

You claim, "the importance of simultaneity for solving this problem is way 
overblown," as if this is some bold revelation. It’s not. It’s yet another 
demonstration of your failure to understand the very basics of special 
relativity. Sure, you can use length contraction to infer that a 
disagreement exists, but simultaneity is the reason why the disagreement 
exists in the first place. Ignoring this is like describing a murder scene 
and pretending the motive doesn’t matter. You don’t get points for arriving 
at half the answer.

Your statement that "using length contraction alone is sufficient to reach 
the conclusion" is blatantly wrong. Length contraction alone doesn’t 
explain why one frame sees the car fit while the other doesn’t—it merely 
sets the stage. Without simultaneity, you can’t define when the endpoints 
of the car and the garage align. This isn’t an optional detail, AG; it’s 
the entire mechanism by which the paradox is resolved. Your refusal to 
grasp this after endless explanations is either stubborn ignorance or pure 
trolling.

You keep repeating that length contraction, time dilation, and simultaneity 
have the "same ontological status." Yes, they’re all derived from the 
Lorentz transformations. What you fail to grasp is that they work together, 
not in isolation. Your attempt to reduce everything to length contraction 
is like trying to describe a triangle by talking about one side and 
ignoring the angles. It’s incomplete and fundamentally wrong.

Your backhanded swipe at Brent—claiming his work "wasn’t necessary"—is 
laughable. At least Brent took the time to analyze the problem 
quantitatively and correctly. You, on the other hand, have spent the entire 
discussion flailing around with half-baked ideas and then congratulating 
yourself for stumbling into conclusions that were explained to you weeks 
ago.

And now, let’s address your newfound "confusion" about the definition of 
fitting. Suddenly, you admit you "somehow wasn’t clear" that the crossing 
times of the car’s front and back with the garage’s front and back were the 
decisive events. This is the very definition of the problem that’s been 
spoon-fed to you repeatedly. Yet, instead of owning your ignorance, you 
blame the "arrogant not-skilled teacher from Belgium" for your failure to 
understand it. The projection here is staggering.

Finally, your mention of clocks being synchronized in any frame as if it 
undermines simultaneity’s frame-dependence is the cherry on top of your 
nonsense sundae. Of course, clocks can be synchronized in a single frame, 
but the relativity of simultaneity ensures that events simultaneous in one 
frame are not simultaneous in another. This is Relativity 101. That you’re 
still bringing this up after all this time is proof of either deliberate 
trolling or an inability to grasp even the most basic concepts.

So let’s summarize: you’ve wasted everyone’s time, misunderstood the 
problem, ignored explanations, twisted arguments, and insulted people who 
tried to help you. And now you’re declaring victory in a fight you’ve lost 
at every turn. If arrogance and ignorance were Olympic sports, AG, you’d be 
bringing home gold medals.


*I stand by what I wrote. Length contraction is sufficient to define and 
resolve the problem. Your opinion is of no interest to me. AG* 




Le jeu. 9 janv. 2025, 04:53, Alan Grayson <[email protected]> a écrit :

On Wednesday, December 4, 2024 at 2:41:25 PM UTC-7 Jesse Mazer wrote:

On Wed, Dec 4, 2024 at 4:06 PM Alan Grayson <[email protected]> wrote:

In the case of a car whose rest length is greater than the length of the 
garage, from pov of the garage, the car *will fit inside* if its speed is 
sufficient fast due to length contraction of the car. But from the pov of 
the moving car, the length of garage will contract, as close to zero as one 
desires as its velocity approaches c, so the car *will NOT fit* *inside* 
the garage. Someone posted a link to an article which claimed, without 
proof, that this apparent contradiction can be resolved by the fact that 
simultaneity is frame dependent. I don't see how disagreements of 
simultaneity between frames solves this apparent paradox. AG


Can you think of any way to define the meaning of the phrase "fit inside" 
other than by saying that the back end of the car is at a position inside 
the garage past the entrance "at the same time" as the front end of the car 
is at a position inside the garage but hasn't hit the back wall? (or hasn't 
passed through the back opening of the garage, if we imagine the garage as 
something like a covered bridge that's open on both ends). This way of 
defining it obviously depends on simultaneity, so different frames can 
disagree about whether there is any moment where such an event on the 
worldline of the back of the car is simultaneous with such an event on the 
worldline of the front of the car.


Jesse


*I think I've mostly resolved this issue. Firstly, despite the unanimity* *of 
our resident experts, the importance of simultaneity for solving this 
problem is way overblown. Obviously, that the frames disagree about whether 
the car fits in the garage can be immediately and unambiguously determined 
by length contraction. I was ridiculed by the arrogant fool from Belgium 
and accused as trolling for not placing greater emphasis on simultaneity 
for the car fitting frame disagreement, but it isn't needed; one can infer 
the disagreement qualitatively, directly from how the problem is set up by 
using length contraction. One of the things Brent did in his plots was to 
define the problem numerically, or **quantitatively*, *but that wasn't 
necessary. The statement of the problem easily implies the alleged 
contested result qualitatively, which is sufficient. Since length 
contraction, time dilation, and simultaneity all follow from the LT (which 
follows from the invariance of the Sol), they have the same ontological 
status; that is the same truth value, so using any of the 
three phenomena, or any combination thereof, is sufficient to reach the 
conclusion of fitting disagreement for the two frames under consideration. 
Brent might have established that disagreement of simultaneity can be used 
as a factor in the analysis, or he may have known about it beforehand and 
included it in his plots. I'm not sure which is the case, but it really 
doesn't matter concerning the result of the analysis; the frame 
disagreement about the car fitting can be established by applying length 
contraction alone. I think the problem appears to have an ambiguous 
paradoxical result because SR gives us hugely non-intuitive results. We 
tend to think that both frames MUST see the same physical result. But if we 
accept length contraction as a reality, then IF both frames showed the same 
physical result, we'd be in a worse situation. It would imply that length 
contraction is falsified. In fact, one of the videos I posted, ended by 
concluding just that, the video with a poor sound track at the end, 
namely, *

https://www.youtube.com/watch?v=dDqUbBYpB_k#:~:text=from%20the%20car's%20reference%20rate%20however%20the,will%20get%20smashed%20by%20the%20garage%20doors.&text=in%20order%20to%20find%20out%20we%20must,use%20our%20friends%20the%20lorentz%20transformation%20equations

*BTW, I was also confused about the definition of fitting. With all the 
emphasis about endpoints, and the fact that all clocks in any frame can be 
sychronized, the ends of the car are always simultaneous whether the car 
fits or not. I somehow wasn't clear that the event times which were 
decisive involved the crossing  times of the front and rear of garage by 
the front and rear of the car. The arrogant not-skilled teacher from 
Belgium was unable to grasp how I misconstrued the fitting conditions and 
used my error for undeserved accusations. *
*AG*

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