On Sat, Jan 18, 2025 at 8:42 AM Alan Grayson <agrayson2...@gmail.com> wrote:

*> I'll pose the LT question in the context of the TP. If the stationary
> twin at rest on the Earth uses the LT to calculate the clock reading at
> some time on the traveling twin's clock, or its clock rate using two or
> more time readings, what relationship, if any, does this have on what the
> traveler twin's clock actually reads, and what he observes as his clock
> rate? IOW, to what extent does the LT transform the parameters of one
> frame, to actual observations on another frame (previously referred to as
> the source and target frames respectively)?*
>

*I'm not sure I understand your questions but the Lorentz transformations
allow the earthbound twin to calculate what reading his spaceship traveling
twin is reading on his clock right "now", and he can even calculate how
much different his "now" is from his twins "now". And when he returns back
to earth his earthbound twin is not at all surprised to see that his
spaceship brother has aged much less than he has. *

*Although the components of the metric tensor do change under coordinate
transformations, like when we change the origin of our coordinate system
between observers that are moving relative to each other, the components of
the metric tensor change in a way that preserves the invariant spacetime
interval; and this is true even if it's not just a question of coordinates
but even if there is a real physical difference between the environment of
two observers, such as when spacetime is curved.*

*John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>*
3ma


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