> I think I've mostly resolved this issue.
> Length contraction is sufficient to define and resolve the problem
> despite the unanimity of our resident experts, the importance of simultaneity for solving this problem is way overblown.
Amusing coming from a guy who believes that radioactive decays in the human body produces many worlds. Carroll never justified his claim, and sycophants like you presumably go along with this nonsense. AG
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AG, length contraction is what sets up the apparent paradox, but it doesn’t resolve it. Length contraction tells us that in the garage frame, the car is shorter and can fit, while in the car frame, the garage is shorter and the car cannot fit. This sets the conditions for disagreement but does nothing to explain why the two frames reach different conclusions.The relativity of simultaneity is what resolves the paradox. In the garage frame, simultaneity ensures that the back of the car passes the entrance and the front is at or within the exit at the same time, meaning the car fits. In the car frame, these same events are not simultaneous, and the back of the car passes the entrance before the front reaches the exit, meaning the car doesn’t fit. This difference in simultaneity explains why both frames disagree while remaining consistent with relativity.Your claim that you can determine whether the car fits without simultaneity is nonsense. Length contraction alone doesn’t tell you when events align—it only gives you the contracted lengths in a given frame. Without simultaneity, you have no way to compare the positions of the car and garage endpoints in time, which is essential to define fitting.Referencing Einstein and the Lorentz transformations won’t save your argument. Simultaneity is built into the framework of special relativity. Ignoring it doesn’t simplify the problem; it leaves it unresolved. You’re not demonstrating insight, AG. You’re just showing how deeply you misunderstand relativity.
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On Thursday, January 9, 2025 at 12:10:58 PM UTC-7 Quentin Anciaux wrote:AG, length contraction is what sets up the apparent paradox, but it doesn’t resolve it. Length contraction tells us that in the garage frame, the car is shorter and can fit, while in the car frame, the garage is shorter and the car cannot fit. This sets the conditions for disagreement but does nothing to explain why the two frames reach different conclusions.The relativity of simultaneity is what resolves the paradox. In the garage frame, simultaneity ensures that the back of the car passes the entrance and the front is at or within the exit at the same time, meaning the car fits. In the car frame, these same events are not simultaneous, and the back of the car passes the entrance before the front reaches the exit, meaning the car doesn’t fit. This difference in simultaneity explains why both frames disagree while remaining consistent with relativity.Your claim that you can determine whether the car fits without simultaneity is nonsense. Length contraction alone doesn’t tell you when events align—it only gives you the contracted lengths in a given frame. Without simultaneity, you have no way to compare the positions of the car and garage endpoints in time, which is essential to define fitting.Referencing Einstein and the Lorentz transformations won’t save your argument. Simultaneity is built into the framework of special relativity. Ignoring it doesn’t simplify the problem; it leaves it unresolved. You’re not demonstrating insight, AG. You’re just showing how deeply you misunderstand relativity.I asked the question to Clark. The fact is, I was able to know in which frame the car fitted, and didn't need any reference to simultaneity. It was real easy. Try my method. You might like it. AG
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AG, your attempt to brush off the apparent paradox as a "false expectation" is nothing more than intellectual laziness dressed up as insight. Of course, we don’t expect the frames to agree on fitting—that’s the whole point of the apparent paradox. The paradox exists because the frames reach different conclusions, and understanding why they disagree is the actual problem to be addressed. Pretending it’s just a "false expectation" is a cheap cop-out.
Length contraction sets up the conditions for the disagreement, but it doesn’t explain it. The relativity of simultaneity is what resolves it by showing how the frames define "fitting" differently. In the garage frame, simultaneity aligns the back and front of the car with the entrance and exit, so the car fits. In the car frame, simultaneity shifts, and the same events don’t happen at the same time, so the car doesn’t fit. Without simultaneity, there’s no way to explain why both frames are correct within their own contexts.Your claim that resolving the paradox would "imply length contraction is false" is pure nonsense. The disagreement between frames doesn’t undermine length contraction—
it’s a direct consequence of it. The Lorentz transformations don’t give "false predictions"; they provide the framework that explains both length contraction and simultaneity. If you’re failing to see this, it’s not because the theory is flawed—it’s because your understanding of it is.Your refusal to engage with simultaneity shows that you’re not interested in understanding the physics.
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> There is no paradox to be resolved.
AG, your so-called "analysis" is just another smokescreen to avoid admitting you don’t understand the actual physics. Let’s address your latest round of deflections and misrepresentations.First, your "proof via contradiction" is laughable. Assuming the frames agreed would contradict everything we know about relativity, including length contraction, simultaneity, and the Lorentz transformations. You’re not offering clarity; you’re proposing an absurdity to justify your refusal to engage with the real concepts at play.Second, your claim that you "determined in which frame the car fitted without simultaneity" is meaningless. Yes, you can identify that one frame sees the car fit and the other doesn’t based on length contraction. But that’s not the issue. The apparent paradox arises because the frames disagree, and resolving that disagreement requires simultaneity. Length contraction sets up the disagreement, but simultaneity explains why the frames are both correct in their own contexts. Ignoring this is like claiming you solved half a puzzle and declaring the rest irrelevant.Third, your statement that "there’s no paradox to resolve unless a false expectation equates to a paradox" is either disingenuous or plain stupid. The paradox isn’t about expecting the frames to agree—it’s about understanding why they disagree. Dismissing it as a "false expectation" is just you refusing to address the core of the problem. It’s a cop-out, not an argument.Finally, your fixation on simultaneity being unnecessary is outright wrong. You can’t compare events across frames without simultaneity.
It’s not optional—it’s fundamental to understanding how space and time work in relativity. Pretending otherwise doesn’t simplify the problem; it just highlights your lack of understanding.
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On Thu, Jan 9, 2025 at 2:25 PM Alan Grayson <agrays...@gmail.com> wrote:> There is no paradox to be resolved.There sure as hell is a logical paradox if you only use length contraction and ignore time dilation and the resultant disagreement about simultaneity. The garage man took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car was entirely in the garage. But the car driver also took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car had left the garage. With just length contraction you have a profound logical paradox. With length contraction AND time dilation you just have an odd situation.
And Allen please no more whining about snarky comments, over the years you've heard about 6.02×10^23 insults against me.
On Thu, Jan 9, 2025 at 2:25 PM Alan Grayson <agrays...@gmail.com> wrote:> There is no paradox to be resolved.There sure as hell is a logical paradox if you only use length contraction and ignore time dilation and the resultant disagreement about simultaneity. The garage man took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car was entirely in the garage. But the car driver also took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car had left the garage. With just length contraction you have a profound logical paradox. With length contraction AND time dilation you just have an odd situation.
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AG, your arrogance combined with your willful ignorance is genuinely something to behold. Let’s break it down one more time, not because you deserve the effort, but because your nonsense deserves to be dismantled.The so-called "paradox" exists because the two frames disagree on whether the car fits.
This disagreement is a feature of relativity, not a flaw. In the garage frame, the car fits because its contracted length allows it to align with the garage’s endpoints simultaneously. In the car frame, the garage is contracted, and simultaneity shifts, so the back passes the entrance before the front reaches the exit.
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On Friday, January 10, 2025 at 12:16:52 AM UTC-7 Quentin Anciaux wrote:AG, your arrogance combined with your willful ignorance is genuinely something to behold. Let’s break it down one more time, not because you deserve the effort, but because your nonsense deserves to be dismantled.The so-called "paradox" exists because the two frames disagree on whether the car fits.Why is this a paradox? Why must the frames agree? If it is a paradox, how does simultaneity resolve it? I asked these questions to Clark because he's more in a position to avoid emotions determining the answers. AGThis disagreement is a feature of relativity, not a flaw. In the garage frame, the car fits because its contracted length allows it to align with the garage’s endpoints simultaneously. In the car frame, the garage is contracted, and simultaneity shifts, so the back passes the entrance before the front reaches the exit.So the car fits, contradicting the prediction of the LT where the car's length is longer than the garage. You've apparently proven what I have been claiming all along. AGThis difference isn’t a "false expectation" or a "non-problem"—it’s the fundamental behavior of spacetime under the Lorentz transformations.Your refusal to accept simultaneity’s role shows either that you’re deliberately trolling or that you fundamentally don’t understand what you’re talking about. Length contraction sets up the conditions for disagreement, but it doesn’t explain the disagreement. Simultaneity resolves it by showing why both frames arrive at different, yet internally consistent conclusions. Ignoring simultaneity is like ignoring gravity while trying to describe an orbit—it’s idiotic.You keep parroting that there’s no paradox, as if repeating it will make it true. The paradox isn’t about some emotional discomfort with the results; it’s about reconciling why the two frames disagree. Your suggestion that "acknowledging the frames agree" would fix this is pure drivel.
If the frames agreed, it would violate the very principles of relativity you claim to understand. That’s not insight—it’s stupidity wrapped in smugness.
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AG, your attempt to twist this into supporting your nonsense is laughable, so let’s dismantle it piece by piece.The disagreement between frames is not a contradiction. It’s a consequence of relativity. The frames don’t need to agree—
that’s the entire point of the theory. The "paradox" is only apparent to someone who doesn’t understand why the frames differ. Simultaneity resolves the disagreement because it shows how the frames define "fitting" differently based on their relative motion.In the garage frame, simultaneity aligns the car’s endpoints with the garage’s endpoints at the same time, meaning the car fits. This is consistent with length contraction in this frame. In the car frame, simultaneity shifts, and the back of the car passes the entrance before the front reaches the exit, meaning the car doesn’t fit.
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AG, your backpedaling and constant twisting of words are as predictable as ever. Let me clarify what’s actually happening here because your attempts at misdirection are getting tiresome.You keep pretending that your "if the frames agreed" argument is some profound insight. It’s not. Everyone understands that the frames disagree because of the principles of relativity, and that’s exactly what the LT predicts. You’re stating the obvious and then patting yourself on the back as if you’ve uncovered a hidden truth. Newsflash: you haven’t.
Your suggestion that we should "consider the opposite" (the frames agreeing) isn’t helpful or insightful—it’s a straw man. No one is arguing that the frames should agree, and no one finds the disagreement "uncomfortable."
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AG, your response is as confused as ever. The car does not fit in the car frame.
In the car frame, the garage is contracted, and simultaneity shifts so that the back of the car passes the entrance before the front reaches the exit. That’s literally the definition of "not fitting."
You’re either deliberately twisting this or you fundamentally don’t understand relativity. Length contraction sets the disagreement; simultaneity resolves it. Stop pretending you’ve uncovered some hidden truth—you haven’t.
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AG, in the car frame, the garage is contracted, and the back passes the entrance before the front reaches the exit. The car doesn’t fit. No typo, just your inability to understand.
The "paradox" isn’t discomfort—it’s the non-intuitive result of relativity.
Simultaneity resolves why the frames disagree, not that they should agree. Calling it "paranoia" is just you dodging yet again. You’re not engaging, just trolling.
AG, let’s clarify this once and for all since you seem intent on misrepresenting the argument. In the car frame, if the back of the car passes the entrance before the front exits the garage, then yes, the car fits in that frame. That is the definition of fitting—there is a moment when the entire car is inside the garage.If I wrote "before" earlier when describing the car not fitting, it was either a typo or a miscommunication. When the back passes the entrance after the front has already exited, that’s when the car doesn’t fit. This is obvious to anyone following the logic, but it seems like you’re more interested in twisting words than understanding the physics.
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AG, your so-called "method" is inferior because it only provides half the picture. Length contraction alone establishes the conditions for disagreement but doesn’t explain why the frames differ in their conclusions. Simultaneity resolves this by showing how events are ordered differently in each frame.In the car frame, simultaneity ensures that the back of the car passes the entrance after the front leaves the exit, meaning the car doesn’t fit. Length contraction can’t explain this temporal ordering—it only tells you the garage appears shorter. Without simultaneity, your explanation is incomplete.Your insistence that length contraction alone resolves the issue is wrong.
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AG, your claim that the Lorentz transformations alone resolve the disagreement is fundamentally flawed. The LT does indeed underlie all relativistic principles, but simultaneity is not separate from the LT—it’s a direct consequence of it. Ignoring simultaneity while invoking the LT is like using a calculator but refusing to press the equals button.Length contraction, derived from the LT, explains how lengths change, but it doesn’t address the core disagreement: the ordering of events. That’s where simultaneity comes in. Without it, you can’t determine when the car’s endpoints align with the garage’s endpoints in any frame. Your "method" stops short of explaining the full picture because it omits the temporal dimension of relativity.Simultaneity and the LT don’t just have the same "ontological status"—they’re inseparably linked. You’re not using the LT fully if you ignore simultaneity. That’s why your method is incomplete and, yes, inferior. It’s not about preference; it’s about addressing the problem in its entirety, something you’ve repeatedly failed to do.
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AG, will you ever stop being a troll?
>> There sure as hell is a logical paradox if you only use length contraction and ignore time dilation and the resultant disagreement about simultaneity. The garage man took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car was entirely in the garage. But the car driver also took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car had left the garage. With just length contraction you have a profound logical paradox. With length contraction AND time dilation you just have an odd situation.> What exactly is the paradox you allege?
> What is the odd situation you allege?
On Fri, Jan 10, 2025 at 2:04 AM Alan Grayson <agrays...@gmail.com> wrote:>> There sure as hell is a logical paradox if you only use length contraction and ignore time dilation and the resultant disagreement about simultaneity. The garage man took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car was entirely in the garage. But the car driver also took a snapshot at the instant he saw BOTH the garage doors were closed, and it clearly shows the car had left the garage. With just length contraction you have a profound logical paradox. With length contraction AND time dilation you just have an odd situation.> What exactly is the paradox you allege?You've got a photograph of the car, allegedly taken at the instant both the front and the back of the garage doors were closed, and you can clearly see that the car WAS entirely in the garage at that instant, and you've also got another photograph of the car, allegedly taken at the instant both the front and the back of the garage doors were closed, and you can clearly see that the car was NOT in the garage. So You've got rock solid evidence the car DID fit in the garage and you've got rock solid evidence the car DID NOT fit in the garage, and that is a logical paradox IF AND ONLY IF the two pictures really were taken simultaneously.
Alan, couldn't you have figured this out by yourself? At this point I have to wonder if understanding Special Relativity is your primary goal or if demonstrating to other people that you're always right and smarter than everybody else is your primary goal.
> What is the odd situation you allege?I flat out refused to believe you don't already know the answer to that question.
fow
> if you believe in the LT, you can establish the car doesn't fit from the pov of the car frame, so if you believe in SR, you have to conclude that if such pictures could be taken, they could NOT be simultaneous. AG
On Fri, Jan 10, 2025 at 9:49 AM Alan Grayson <agrays...@gmail.com> wrote:> if you believe in the LT, you can establish the car doesn't fit from the pov of the car frame, so if you believe in SR, you have to conclude that if such pictures could be taken, they could NOT be simultaneous. AGThen what are we arguing about?
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> if you believe in SR and the LR, you have to conclude the car won't fit in car frame.
AG, your misunderstanding is once again on full display. Simultaneity is about the frame-dependent nature of when events occur. The frames disagree on whether the car fits because simultaneity shifts the timing of events like the back entering the garage and the front exiting.Your claim that "morons just say the words" is rich coming from someone who dismisses simultaneity entirely while pretending length contraction is enough. Calculations using the Lorentz transformations explicitly show how simultaneity shifts the alignment of events across frames. If you’d bothered to actually engage with the math instead of trolling, you’d see that simultaneity explains why there’s no contradiction.In the car frame, the garage is shorter, and simultaneity ensures that the back enters after the front leaves. That’s why the car doesn’t fit. This isn’t just "words"—it’s the direct consequence of SR and the LT. Your refusal to understand this isn’t a lack of calculation—it’s a lack of effort on your part.
Le ven. 10 janv. 2025, 16:21, Alan Grayson <agrays...@gmail.com> a écrit :
On Friday, January 10, 2025 at 8:04:43 AM UTC-7 John Clark wrote:On Fri, Jan 10, 2025 at 9:49 AM Alan Grayson <agrays...@gmail.com> wrote:> if you believe in the LT, you can establish the car doesn't fit from the pov of the car frame, so if you believe in SR, you have to conclude that if such pictures could be taken, they could NOT be simultaneous. AGThen what are we arguing about?There are no pictures taken simultaneity, I've never seen such pictures, so what the F were you alleging about what I've seen? But if you believe in SR and the LR, you have to conclude the car won't fit in car frame. The problem with invoking disagreement with simultaneity is that the morons who assert it just say the words, as if that's enough, but rarely if ever do they do any calculation to prove the key point; the time change of events in the car frame which would show no contradiction, no paradox. AG
.
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AG, your inability to engage without resorting to childish insults speaks volumes about your character. Proofs and explanations were provided repeatedly, but your deliberate refusal to engage with them isn’t anyone’s fault but your own. Simultaneity’s role has been outlined clearly—it resolves the disagreement by explaining how events align differently in each frame. You ignored it then, and now you’re pretending it was never explained. That’s peak trolling.If you can’t handle the discussion without devolving into personal attacks, maybe it’s time to step away. Your insults don’t make you look clever—they just confirm what everyone already knows: you’re not here for the physics, just to waste time.
> "Asshole; You're a Belgium shit. You're a total prick. I really don't want to discuss this further with a lying abusive shit such as you"
AG, your inability to engage without resorting to childish insults speaks volumes about your character. Proofs and explanations were provided repeatedly, but your deliberate refusal to engage with them isn’t anyone’s fault but your own. Simultaneity’s role has been outlined clearly—it resolves the disagreement by explaining how events align differently in each frame. You ignored it then, and now you’re pretending it was never explained. That’s peak trolling.If you can’t handle the discussion without devolving into personal attacks, maybe it’s time to step away. Your insults don’t make you look clever—they just confirm what everyone already knows: you’re not here for the physics, just to waste time.
On Fri, Jan 10, 2025 at 1:07 PM Alan Grayson <agrays...@gmail.com> wrote:> "Asshole; You're a Belgium shit. You're a total prick. I really don't want to discuss this further with a lying abusive shit such as you"And this comes from a man who was recently whining about how people were being too "snarky" with him.
CClark
If you believe in Special Relativity then you can't just take length contraction into account, you also have to consider time dilation, and if you have time dilation then simultaneity is not objective but is subjective. And the definition of "fitting in the garage" is that the front of the car is fully within the garage while simultaneously the back of the car is also fully within the garage.>If I believe in SR, then I can use length contraction to establish the car won't fit in garage in car's frame.
4hb
>>>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
RXT
X
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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.
1. The paradox is fully resolvableThe 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 informationThe 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.
3. Your "length contraction only" approach is incompleteLength 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" problemThe 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.
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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.
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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.
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>> 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"?
>I think you meant "the car will fit in the garage."
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I had a general question about how time evolves oppositely for spacial separated events, but "opposite" from what to what. I understand. It's a fuckin' tough question for you to answer, genius that you are. Do me a big favor; STOP WITH THE TROLL SHIT!
You seem to suggest that for two spacelike separated events A and B, IF A causes B, then under a LT, the image of B is the cause of the image of A in the transformed frame. I tend not to believe this, OR, maybe that's not what was implied. In any event, this was the cause of my question and I don't believe your plots will answer this question. AG
The "silly" question involved the suggestion of a violation of causality if time is "reversed" for transformations of spacelike separated events. AG
You seem to suggest that for two spacelike separated events A and B, it A causes B,
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I bolded the word.
Brent
On Monday, January 13, 2025 at 3:38:30 PM UTC-7 Brent Meeker wrote:
I bolded the word.
Brent
I realized that later, but I wasn't sure which two events you were referring to, whose times were reversed. AG