On Tuesday, January 7, 2025 at 5:51:53 AM UTC-7 Quentin Anciaux wrote:

The most incredible thing is that Alan is not even attributing a 50/50 
chance is a genius SR is flawed vs he's dumb as fuck... he's at least 
pushing the idea he's a genius to 99%... 


*You continue to behave like a vulgar fool who can't read plain English. I 
posted that SR is probably correct and that I prefer that it is. AG *


And in one year, mister will still be dissatisfied with the answer that 
both observer are on a different simultaneity plane... who cares if that's 
the answer, explained ad nauseam, plotted by brent... who cares as long as 
alan is dissatisfied, he's the genius among us after all.


*As I recall, you used simultaneity, in part, to prove frame disagreement 
about fitting. And your final conclusion was the SAME as those who didn't 
use it, who used only length contraction. So why should your "proof", or 
Brent's, be considered authoritative? AG *


Le mar. 7 janv. 2025, 13:46, Quentin Anciaux <[email protected]> a écrit :

There is only one definition of fits into and it involves simultaneity.


*No. I explained why this is not the case. The necessary condition for 
fitting is, in this context, that the car must be shorter than the garage. 
What part of this simple statement do you fail to comprehend? AG *


Le mar. 7 janv. 2025, 13:21, Alan Grayson <[email protected]> a écrit :



On Tuesday, January 7, 2025 at 1:07:25 AM UTC-7 Quentin Anciaux wrote:

I think there is no hope, the sole purpose of a troll is denying and goes 
back circular... so Alan agree to the definition of fits into, then 
disagree abs conclude the bullshit troll idea that he's the genius and SR 
is flawed... we can go on for years only on this stupid 6 years old school 
problem... what a shame.

Le mar. 7 janv. 2025, 08:58, Quentin Anciaux <[email protected]> a écrit :



Le mar. 7 janv. 2025, 07:49, Alan Grayson <[email protected]> a écrit :



On Monday, January 6, 2025 at 3:27:44 PM UTC-7 Quentin Anciaux wrote:



Le lun. 6 janv. 2025, 22:58, Alan Grayson <[email protected]> a écrit :



On Monday, January 6, 2025 at 2:44:56 PM UTC-7 Quentin Anciaux wrote:

Last try.

So as you agreed, the two observers being in different frame, they don't 
share the simultaneity plane.

The key to understanding the situation is that the two observers (the 
person in the garage and the person in the car) don’t share the same idea 
of what events happen at the same time. This is because, in relativity, the 
concept of "simultaneity" depends on the observer’s motion.

What does "fit into the garage" mean?

For the car to "fit into" the garage, we’re asking if:

The back of the car has passed the entrance of the garage and

The front of the car is at, or before, the exit of the garage
at the same time.

Why is there disagreement?

1. For the garage’s observer:

The car looks shorter because of Lorentz contraction.

They can say: "At the same time, the back of the car has passed the 
entrance, and the front is at or before the exit." So, for them, the car 
fits.

2. For the car’s observer:

The garage looks shorter because of Lorentz contraction.

They see events differently. For them, the back of the car passes the 
entrance before the front reaches the exit. So, they say: "The car never 
fits inside the garage."

Why no contradiction?

The disagreement comes from the fact that the two observers don’t share the 
same plane of simultaneity:

In the garage’s frame, the "fit" happens because the events (back passing 
entrance and front at exit) occur simultaneously.

In the car’s frame, those events don’t happen at the same time. The car 
sees the garage’s doors acting at different times to avoid a crash.

Conclusion:

The paradox is resolved because "fitting into the garage" depends on when 
you decide to check if the car fits, and different observers disagree about 
what "at the same time" means. This is a direct result of how special 
relativity changes our understanding of simultaneity.

Quentin 


*As I've previously stated, the issue, if there is one, is that the frames 
disagree about whether the car fits in the garage, not when it fits, or how 
good or bad the fit is. This is obvious from length contraction alone, that 
the frames disagree. This fact is unchanged by the disagreement about 
simultaneity. So if you or anyone want to use the disagreement on 
simultaneity and length contraction, to put some numbers on this problem, 
that's fine. But it shouldn't be concluded that the underlying enigma has 
been solved. AG*


The confusion here seems to stem from treating "fits" as if it were an 
absolute property, independent of the observer's frame of reference. 
However, in the context of special relativity, "fits" is not absolute, it’s 
inherently dependent on the observer's definition of simultaneity.

Here’s why:

1. The concept of "fits" requires simultaneity:


*It does not.*


*I was referring to the initial condition of the problem where it is 
asserted that fit, or not, depends solely on the relative lengths of car 
and garage. It's what called in mathematics **the necessary condition. 
There is no mention of simultaneity. I explained this previously but you 
deliberately ignored it. Of course, what you copied below with large font 
in blue, and what I agreed to, and still do, is specific to a particular 
circumstance, also known in this context as the sufficient** condition. 
OTOH, it's obvious that when fitting cannot occur, say if the car is longer 
than the garage, the end points of the car can be simultaneous, since all 
clocks in any frame can be assumed to be synchronized. The sad part of this 
exchange is that you just want to play games, indulged in name-calling -- 
not really trying to understand my pov. I see I made a mistake in being 
polite to you. You're unworthy of basic courtesy. AG*

*The initial condition of the problem is that the car's length is greater 
than the garage's length, from whence it is concluded the car won't fit. No 
mention or use of simutaneity. When the car is in motion, the changes in 
lengths are calculated using the LT and are not frame independent. Consider 
this exercise; choose the speed of the car such that it perfectly fits in 
the garage from the garage's frame. Place an observer in garage frame at 
the entrance to the garage, and an observer in the car frame at the rear 
end of the car. When the car perfectly fits in the garage, the former 
observer will observe the car's rear end at entrance to the garage, within 
the garage. OTOH, since that car doesn't fit in the garage from the car's 
frame, the latter observer will observe the rear end of car clearly outside 
the garage. Since the same car is being observed by both observers, they 
must observe the same thing, but they don't. This seems to be a flaw in SR 
since simultaneity is not involved. It's only relevant when comparing a 
pair of simultaneous events in one frame, with a pair of events in another 
frame, which is not the situation in this exercise. AG*


For the car to "fit" in the garage, you need to compare two events: (1) the 
back of the car passing the entrance and (2) the front of the car being at 
or before the exit. Whether these two events happen "at the same time" 
depends on the observer’s frame of reference.

The disagreement about simultaneity between the two frames directly leads 
to a disagreement about whether the car fits. It’s not just an added 
detail—it’s fundamental.

2. Length contraction alone doesn’t explain the full scenario:

Yes, length contraction makes the car appear shorter in the garage’s frame 
and the garage appear shorter in the car’s frame. But without simultaneity, 
"fits" remains undefined because it depends on when you compare the 
positions of the car’s front and back relative to the garage.

3. There’s no "underlying enigma" left to solve:

The disagreement between frames is entirely explained by relativity: the 
garage’s observer uses their simultaneity to conclude the car fits,

 
*In any frame, the clocks are (or can be) synchronized, so the ends of the 
car can be synchronized even when the car doesn't fit in the garage. AG*
 

while the car’s observer uses a different simultaneity to conclude it 
doesn’t. Both are correct within their own frames. This is not a paradox, 
it’s how spacetime works.

4. "Fits" cannot be absolute:

If you’re treating "fits" as a frame-independent property, 


*I am not. AG*
 

you’re implicitly ignoring the core of special relativity, where space and 
time are not absolute. This perspective is incompatible with the theory.

In short: The disagreement about simultaneity is not a side effect, it’s 
the very reason frames disagree about whether the car fits. To claim the 
problem is unsolved is to misunderstand how relativity defines spatial 
relationships and simultaneity.

Quentin 


Le lun. 6 janv. 2025, 22:37, Quentin Anciaux <[email protected]> a écrit :

A troll feels absolutely no shame.



Le lun. 6 janv. 2025, 22:25, Alan Grayson <[email protected]> a écrit :



On Monday, January 6, 2025 at 11:46:52 AM UTC-7 Alan Grayson wrote:

On Monday, January 6, 2025 at 3:11:47 AM UTC-7 Alan Grayson wrote:

On Sunday, January 5, 2025 at 10:02:28 PM UTC-7 Alan Grayson wrote:

On Sunday, January 5, 2025 at 9:43:47 PM UTC-7 Brent Meeker wrote:

On 1/5/2025 7:44 PM, Alan Grayson wrote: 
> You claim there is no objective fact. The car fitted in the garage. 
> But that's only from the garage frame. 
If it's from only one frame and not another, that's the definition of 
"not objective".  It's not fact.  It's subjective perception. 

Brent


You truncated my statement. You showed the car fits in one frame
and not the other (the car frame). The paradox is based on the belief
that this is impossible. Disproving this belief is required to resolve
the paradox. AG

 
*Here is something to consider to prove what I believe needs to be proven;*
*that the two frames under consideration are not in relative motion as the*
*case of two inertial frames in empty space where nothing exists other than*
*these two frames. In the paradox the car is in real detectable motion if 
one*
*views its background, whereas the garage is fixed by the same observation.*
*In fact, the garage and its surroundings can be considered a rigid body 
from*
*the pov of the car frame, entirely in motion, not just the garage. I do 
not say*
*t**his will work in possibly eliminating the relative motion of garage 
from *
*the pov of the car frame and thus resolving the paradox, but it's a 
possibility*
*worth **considering. AG *


*Maybe you can explain this: we started with an apparent paradox based on 
length*
*contraction. Then, to allegedly resolve it, several MB members including 
yourself,  *
*applied both length contraction and disagreement about simultaneity to get 
the*
*SAME result which was patently obvious with nothing more than length 
contraction.*
*At which point victory was declared; the alleged paradox was resolved! 
Praise the*
*Lord! Can you tell me what I'm missing? And please; don't tell me that 
adding doors*
*on the garage was needed or necessary. Without those doors it was obvious 
that*
*the frames would disagree about whether the car would fit at some high 
speed. *
*Maybe Jesse and Quentin could explain this as well. TY, AG* 


*I'd also like to hear from Clark on this issue. He was another great 
advocate of putting*
*doors on the garage and thinking the problem was solved. As I see it, all 
that's been *
*accomplished is to put some numbers on the problem, to calculate how good 
the fit*
*is or isn't, without touching on the underlying problem. As for falsifying 
relativity, that's*
*definitely not my preference. It seems to have worked for more than a 
century, so it's*
*highly likely to be correct. But when all the experts here give their 
opinions, ISTM that *
*none **are in the ballpark of actually shedding light on this problem. Of 
course, we can*
*always adopt the "shut up and calculate" pov and conclude that that's what 
SR says, and *
*be done with it. So, Clark, what do you think? AG *


> It doesn't fit from the car frame, regardless of the doors, which IMO 
> can be dispensed with. So, as I see it, the paradox follows from the 
> belief that there can't be disagreement about what the frames 
> conclude. Isn't this the claim that must be disproven to resolve the 
> paradox, and a constructive proof that the frames disagree using the 
> LT is insufficient? 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/04eaaeed-329b-413d-beb8-945e34b1da9en%40googlegroups.com.

Reply via email to