On Fri, Dec 20, 2024 at 6:14 AM Alan Grayson <[email protected]> wrote:

> Please define what you mean by local events, with some examples.


I did that in my last two comments on the other thread, the first of which
you had said you were going to respond to in more detail. In my
second-to-last post see the two paragraphs beginning with the sentence 'But
are you asking a different question about what is the motive for demanding
that any claims about how things work in different frames needs to pass the
test of giving identical local predictions, in order to qualify as good
physics?' with the example of the mini bomb and the glass of water, and in
my last post see the paragraphs beginning with '"The car fits" or "the car
fits" are not statements about local events, i.e. statements about things
that happen at a single spacetime point in one of Brent's diagrams'--in
that comment I then went on to give examples involving endpoints of the car
and garage crossing paths with clock readings and ruler markings given at
those specific crossing points in spacetime. Can you re-read those
carefully, and if you're still unclear ask follow-up questions to either of
those comments?

Note that in these kinds of problems we idealize things like clocks and
endpoints of the car as being like point particles that only have a single
position coordinate at a single time coordinate (likewise the bomb and the
glass of water), which I assume you won't have a problem with if you are
willing to similarly idealize the car and garage as 1-dimensional. But if
you were to treat clocks etc. as having an extension in space that was tiny
compared to the lengths of the car/garage, and passing by the ends of the
car garage at a similarly tiny distance, this would differ only negligibly
from the idealized calculation of treating them as points.

Jesse





> And Yes, I agree that coordinate systems are arbitrary. And Yes, I can do
> the assigned problem for defining a worldline, but I need to think about it
> a little more. And finally, Yes again. I am quite able to admit when I am
> mistaken. TY, AG
>
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