On Sat, Oct 26, 2024 at 3:06 AM Alan Grayson <[email protected]> wrote:
> > > > > *So that one typo, which was correct elsewhere made it muddled for you? * > > > *In part yes. When I think an author doesn't know what he's expounding > about, I lose interest. Also, although I was a software engineer at JPL, I > don't know LISP, so it would be hard to see what assumptions you made in > generating the plot. And the plot is claimed to establish time dilation, > and I'm not sure how you developed the width of the blue path say, to show > time passes more rapidly compared to the other plots. AG* > > > *I just assumed a width for the blue path. All that determines is how > fast the light clock ticks. Then the other two light clock world lines > were generated by point-by-point application of the given Lorentz > transform. So I showed the two clocks moving relative to blue ticked more > slowly, not the other way around. Do you not see that the bouncing photon > hits the mirror less often in red's clock as measured in blue's frame. * > > > > *Yes, so that implies tics are less frequent in red's clock, compared to > blue's clock, so the time rate for red is less than blue, which is what I > in effect posted -- that blue clock tics more rapidly than red clock. Why > do you fail to understand what I wrote? AG * > > > > > *I understood it, but it read as if you didn't realize red was just the > transform of blue and it is in the clock's own frame it runs fastest. You > wrote as though I "developed the width of the blue path say, to show time > passes more rapidly" whereas I chose it arbitrarily and derived the other > two. Brent* > > > *Are you saying the red clock is in the same frame as the blue clock? I > missed that point. Why did you model it this way, instead of just using two > frames, one at rest, the other moving? Why does the red clock's photon > cross at right angles, but this isn't so for the blue clock? Were they > arbitrary choices? AG* > > *This discussion began with my claim that there could be a clock paradox, > defined by two clocks, each running slower than the other. If such a > paradox existed, it would be impossible to produce a plot which would show > it. So, what exactly does your plot show; that the LT establishes that a > moving clock runs slower than a stationary clock? This is not something I > disputed.** I don't see how your plot resolves a possible paradox. **AG* > > *I thought that if I could synchronize clocks in two inertial frames > without the LT, I could establish the paradox. But now I don't think this > is true. What is true, is that the LT causes time dilation, and is, so to > speak, the price we pay to guarantee frame invariance of the SoL. AG* > > *For Jesse; I looked up Einstein's method for determining simultaneous > events. IIUC, it involves two clocks and a light source midway between them > to produce simultaneous events, with the conclusion that simultaneity > exists in the rest frame of the clocks, but not in a moving frame. I didn't > use it to establish that clocks in two inertial frames can be synchronized. > Neither did I deny it. I don't see why you think there's something awry > that I didn't use it. AG* > Again, the problem is that you simply haven't clearly laid out what your procedure is for synchronizing different clocks at rest in the *same* frame, so your summary of the experiment you want to set up is too vague without that information. Are all the A clocks synchronized with one another using the Einstein synchronization procedure in the A frame, and then the B clocks set with reference to whichever A clock they are next to at some moment? Or is just one B clock set by reference to the A clock it's next to, and the other B clocks synchronized with that first B clock using the Einstein synchronization procedure in the B frame? Or some other option? Jesse -- 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/CAPCWU3KNZRWvfM9MVSY-FhQ7_4109ZvpbQdxZSoUEUonmyzqLg%40mail.gmail.com.
