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. 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* > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion visit > https://groups.google.com/d/msgid/everything-list/fd67e1c7-c68a-4c81-bb4c-066752fc14a8n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/fd67e1c7-c68a-4c81-bb4c-066752fc14a8n%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. 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