AG, your pattern of projection and self-righteousness is noted. If you’re offering the last word, I’ll simply say this: your behavior throughout this discussion speaks for itself. Take care.
Le sam. 11 janv. 2025, 23:35, Alan Grayson <[email protected]> a écrit : > > > On Saturday, January 11, 2025 at 3:03:46 PM UTC-7 Quentin Anciaux wrote: > > AG, your endless insults and dramatics don’t make your point any more > valid. If you already acknowledged your mistake, great—but don’t act like > you’re above criticism when you’ve spent the entire discussion sowing > confusion and bad faith. The fact that you circle back to hostility every > time someone engages with your nonsense says more about you than anyone > else. Maybe reflect on why this is your go-to response instead of expecting > everyone else to tolerate it. > > > *You refer again to my bad faith, which is an accusation without merit, a > product of your malicious character and foolish belief you can know > someone's soul. You can have the last word. AG * > > > > Le sam. 11 janv. 2025, 22:57, Alan Grayson <[email protected]> a écrit : > > > > On Saturday, January 11, 2025 at 1:46:02 PM UTC-7 Quentin Anciaux wrote: > > AG, your pathetic attempt to claim credit after spewing nonsense about > "uncountable solutions" and an "unsolvable problem" is exactly what I’d > expect from you. Now you’re suddenly saying you "already knew" the > conclusion after wasting everyone’s time with your confusion and bad takes. > That’s pure dishonesty. > > What you’re doing is classic backpedaling. You throw out baseless claims, > derail the discussion, and then pretend your nonsense was part of some > grand reasoning when you realize you’re wrong. Newsflash: nobody’s buying > it. > > The so-called paradox was resolved long before you jumped in with your > distractions. Stop pretending you’ve contributed anything meaningful here. > You’re not a misunderstood genius—you’re just a time-wasting troll who > thrives on unnecessary conflict. Done. > > > *Now you seem brain-dead. Before you posted that I was mistaken about > uncountable solutions, I had ALREADY posted that I was mistaken. What the > fuck is the matter with you? AG * > > > Le sam. 11 janv. 2025, 20:25, Alan Grayson <[email protected]> a écrit : > > > > On Saturday, January 11, 2025 at 12:07:23 PM UTC-7 Quentin Anciaux wrote: > > AG, your latest claim about "an uncountable number of solutions" is yet > another attempt to complicate something that is already well understood. > The "paradox" you keep referencing is entirely resolved through the > principles of special relativity, specifically length contraction and the > relativity of simultaneity. Let’s address your confusion point by point. > > > *That was my solution as well. You should have read it before replying. > And NO, I wasn't trying to complicate anything. AG * > > > 1. The paradox is fully resolvable > The car’s position in both frames is fully determined by the Lorentz > transformations. These transformations provide exact relationships for > space and time coordinates between frames. There’s no ambiguity or > "uncountable number of solutions" because the math directly links events in > one frame to events in another. Your assertion that it’s "impossible to > determine the car’s exact location" is baseless. > > > 2. Simultaneity provides the necessary information > The disagreement between frames arises because simultaneity shifts the > ordering of events. In the garage frame, the back of the car enters the > garage while the front is still inside. In the car frame, the back enters > after the front has already exited. The Lorentz transformations calculate > these relationships precisely. There is no missing information. > > > * That's essentially what I wrote. AG* > > > > 3. Your "length contraction only" approach is incomplete > Length contraction shows that the garage is shorter in the car frame, but > without simultaneity, you can’t determine how events align in time. This > alignment is critical to resolving the disagreement. The so-called paradox > exists only when you refuse to account for simultaneity. > > > 4. There’s no "uncountable" problem > The problem is entirely countable and deterministic. The Lorentz > transformations give you precise equations for determining the position and > timing of events. If you’re struggling to see this, it’s not because the > problem is unsolvable—it’s because you’re either misunderstanding or > overcomplicating it. > > > > Your suggestion that the paradox remains unresolved because of a supposed > infinite ambiguity is simply wrong. The tools of special relativity, > including length contraction, time dilation, and simultaneity, resolve the > problem completely. If you truly want clarity, work through the Lorentz > transformations instead of inventing unnecessary complications. > > > *I was thinking out loud, and later reached the same conclusions you have > described, and posted it. AG * > > > > > Le sam. 11 janv. 2025, 18:08, Alan Grayson <[email protected]> a écrit : > > > > On Friday, January 10, 2025 at 2:46:16 PM UTC-7 Alan Grayson wrote: > > On Friday, January 10, 2025 at 12:30:01 PM UTC-7 John Clark wrote: > > On Fri, Jan 10, 2025 at 2:15 PM Alan Grayson <[email protected]> wrote: > > *>>>If I believe in SR, then I can use length contraction to establish the > car won't fit in garage in car's frame.* > > > > *>> That depends entirely on what you mean by "the car won't fit in the > garage". In the above I've told you exactly what I mean by the term. What > do you mean? * > > > *> What do I mean; what any sane person would mean; that the car's length > is fixed from the pov of the car's frame when car is moving, but the > garage's length is shortened from an initial condition where it starts out > shorter. AG * > > > *That's all very nice but that's not what I asked. What exactly do you > mean by "the car won't fit in the garage" if it's not "the front of the car > is fully within the garage while SIMULTANEOUSLY the back of the car is also > fully within the garage"?* > > *John K Clark See what's on my new list at Extropolis > <https://groups.google.com/g/extropolis>* > > > *Length contraction can show that the car won't fit from the pov of the > car frame, but won't resolve the possibility of a paradox. But solving the > paradox issue with simultaneity is not simple since there are an > uncountable number of ways the car can fit in the garage if its velocity is > large enough. So the easiest way to approach the solution is to find the > velocity which allows the car to fit perfectly in the garage frame, and > then transform its endpoint events, the back and front of garage, using the > t' transformation formula given by the LT. For higher velocities, the > problem is substantially more difficult since now the car will loosely fit > in the garage from the pov of the garage frame, in which case we'd have an > uncountable number of endpoint events for which we'd have to transform to > the car frame. I think it's do-able but more difficult. So the best > approach is to determine the velocity such that the car perfectly fits in > the garage from the pov of the garage frame, and perform the transformation > using the two endpoint events in the garage frame to the car frame. I > really can't explain why I thought length contraction alone could also > resolve the paradox problem, but I can say it wasn't deliberate. Just an > error on my part. AG * > > > *Clark, thanks for clearly defining the paradox. Somehow, in the course of > this discussion, I lost contact with its meaning. However, when > contemplating the solution, using a specific configuration of fitting from > the pov of the garage frame, and then trying to mathematically solve the > location of the car in the car frame using the disagreement of > simultaneity, I just came to a disquieting conclusion; namely, that the > mathematical problem seems insoluble. The reason is that there is an > uncountable number of solutions of the car NOT fitiiing from the pov of the > car frame. We know it can't fit using length contraction, but it seems > impossible to determine its exact location due to the uncountable number of > soluttions. There's simply not enough information to solve the problem > exactly, which I think is necessary to resolve the paradox. I'd like your > opinion in this matter, and anyone who has an interest in the solution. TY, > AG * > > *X* > > -- > > 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/4daa6be8-459b-4424-a813-6ec77b001871n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/4daa6be8-459b-4424-a813-6ec77b001871n%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]. > > To view this discussion visit > https://groups.google.com/d/msgid/everything-list/4db16446-55fb-4db4-975e-845220089b26n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/4db16446-55fb-4db4-975e-845220089b26n%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]. > > To view this discussion visit > https://groups.google.com/d/msgid/everything-list/eba4799d-08a9-4ff3-b6f4-4b4c72c76937n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/eba4799d-08a9-4ff3-b6f4-4b4c72c76937n%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]. > To view this discussion visit > https://groups.google.com/d/msgid/everything-list/fedfd147-12da-47db-96f0-14ada56bec18n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/fedfd147-12da-47db-96f0-14ada56bec18n%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Everything List" group. 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