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 > > -- 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 everything-list+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/everything-list/CAJPayv1bVsctRv7264DsMVadO%3DRp8MOFenhR1vKy9xEYKNnvVg%40mail.gmail.com.