Wow Jorrie,
Your post sure cleared up a lot of misconceptions of mine. Added to this was my brief search for a SR Internet Calculator to see the Equation for co-moving travelers and guess what? I already know how I was going to code for such a problem (Absolute Relativity), by using a stationary observer as a reference (which I had previously thought was forbidden in SR). Turns out this is how everyone does it. (my Method)
Jorrie wrote:A cosmological comoving observer is one for which the CMB has the same average temperature in all directions.
Technically.. this would have been my stationary observer reference.
So the problem I suggested, by convention only, simply splits the difference when the only available information is their Relative Speeds. So when an SR problem states that Bobs Speed, relative to Alice is (X), it is
implied that Alice is stationary. Because if Alice is also moving, then we get the same issue I was trying to highlight with the problem I suggested in my previous post.
So, it looks like I was wrong in spitting the difference between Classical and Absolute. All Relativists are in fact, Absolutists. I defined Classical as those that believed that the only data needed was a velocity differential and, in just one post, you smoked my upcoming debate. Bravo and a big Thumbs Up.. :^)
To be clear, I have no objection to Dilated Clocks.. Technically, a burning Match will last longer at Relativistic speeds than a Stationary burning Match. And if Science wants to call that "Time".. then so be it.
So, my definition of Real Time is that which a Stationary Clock would measure.
I still hold that a Universal Time exists and that moving objects do not have Variable Rates through Real Time. Or put another way, all travelers move through the exact same number of Planck Intervals for any given period measured by our Stationary Clock. Thus implying that Dilated Clocks run slower due to mechanical relationships within Matter/Energy/Speed and not Real Time Per Se. That all objects propagate through Real Time at the exact same velocity, which is the Speed of Light. This being the only explanation for why two travelers, with clocks running at different rates, can rejoin each other at some point in their shared future at the same coordinates in Space-Time.
A Mechanical explanation for Clock Dilation would take us into Personal Theories, so I'll stop short of that.
I also discovered that SR is more than just Einsteins two original postulates. That there was a lot of other Math included in SR that allowed Einstein to produce the formula: E=MC
^{2}.
There also appears to be on going debate as to whether Einstein was influenced by M & M in trying to eliminate the Aether in SR, but that got corrected in GR by the introduction of a Relativistic Aether he called Space-Time. The reasons for Failure in M & M got cleared up.. and all was well in the world..lol.
I never had an issue with GR, and now that I've more fully researched SR, I have a new respect for it, even if it did try to kill my beloved Aether.. ;^P
My research into Calculations for multiple moving clocks and Jorrie's post has cleared the air and has been highly educational for me. (hopefully for others too)
I still take issue with the concept: "That we give up Velocity through Time in exchange for Velocity through Space." (Ie. We all propagate through Real Time with the same velocity.. light speed)
But I'll save that debate for another Time.. lol.
Best wishes all and special thanks for Jorrie's timely input..
Dave :^)
Ps. Hyksos, Einstein could not produce his Field Equations using SR.. as it had no fixed foundation. GR cleared that up and allowed said Equations to be produced. That's what I've read anyway, but perhaps that Author was wrong?