On Monday, December 9, 2024 at 12:24:14 PM UTC-7 Alan Grayson wrote:

On Monday, December 9, 2024 at 9:33:51 AM UTC-7 Quentin Anciaux wrote:



Le lun. 9 déc. 2024, 17:29, Alan Grayson <[email protected]> a écrit :



On Monday, December 9, 2024 at 9:20:04 AM UTC-7 Alan Grayson wrote:

On Monday, December 9, 2024 at 8:58:05 AM UTC-7 John Clark wrote:

On Mon, Dec 9, 2024 at 9:28 AM Alan Grayson <[email protected]> wrote:



On Monday, December 9, 2024 at 7:17:07 AM UTC-7 John Clark wrote:



*For heaven sake! Nobody is denying that two observers in two different 
frames of reference can and will observe different things and thus disagree 
if the car was ever entirely in the garage or not; just as they disagree 
about how long a meter stick is and how fast a clock ticks. But that's not 
a logical paradox, that's just strange. And objective reality does exist in 
relativity because some things DO remain constant in ANY frame of 
reference, such as the speed of light and the distance through spacetime of 
ANY two events. *

*An event, such as the closing of both the front and back doors of the 
garage, is a specific point in space and time, t**he contraction of 
length and the stretching of time are not independent properties; they 
always change in such a way that the garage man in the car driver agree 
that the distance through spacetime between the front of the car entering 
the front of the garage in the back of the car exiting the back of the 
garage is exactly the same. But because they disagreed about length and 
time (but not when both are considered together) they will sometimes 
disagree if there was ever a time when both doors were closed AND the front 
and the back of the car were both in the garage. *

  *John K Clark *
1

*> If that's your present position,*


*I**t has always been my position** that there is nothing paradoxical about 
two observers disagreeing if a car had fit in the garage for an instant or 
not, and it has always been my position that there will NEVER be an 
occasion where one observer sees the car make a car shaped hole in the back 
door of the garage but the other observer sees no such damage because *
*THAT** would have been a paradox, it would've been a logical contradiction 
which is what you need to produce a paradox.  * 

 

*> why, when I first stated that the frames differed on whether the car 
will fit in the garage, did you claim the alleged flaw I described, would, 
if true, undermine 120 years of professional thinking about relativity?*


*Because you kept making a big deal about it and because you kept calling 
it a "paradox" which it is not. It's just odd.  *

*> now you've made a 180 degree turn on its implication*


*Actually I've made a 360 degree turn on its implication. *

*If γ = 1 / √(1 - v²/c²) then Length Contraction reduces the length by 1/γ, 
and Time Dilation increases the time interval by γ, so they disagree about 
length and they disagree about time but they agree when space and time are 
both considered together in spacetime.*

  *John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*


Nothing odd about dilation and contraction when you know its cause. But 
what is odd is the fact that each frame sees the result differently -- that 
the car fits in one frame, but not in the other -- and you see nothing odd 
about that, that there's no objective reality despite the symmetry. AG 


What's odd for me is how the consenus opinion goes out of its way to use 
difference of simultaneity to dispose of the different conclusions of the 
frames, when simply increasing the speed of the car shows otherwise. AG 

tst 


Front door, back door, front of the car, rear of the car are four spacetime 
locations, so there can't be any objective truth about the simultaneity of 
both doors being closed and the front and rear of the car being fully 
inside the garage.


So if the length of car is contracted close to zero, one cannot be sure the 
car fits in garage? This cannot be correct. AG


If you latest claim were true, GR would be useless in making predictions. 
AG 

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