Latimer:
That's it, exactly. Although they are leaving the Earth at one rate, relative to the frame of reference of the Earth, they are getting farther away from each other at a different rate, relative to the frame of reference of each other. And we have experimental verification of this.
In your example, although they would each be moving away from the Earth at .7c, they would be moving away from each other at .94c.
There’s a problem with that.
Look … from Earth, I measure that each ship is moving away from me at 210,000 kms, and since they are moving in opposite directions then it is pretty easy to figure out that they are moving away from each other at twice that rate.
10 seconds after I make my measurement I see that the two ships have gotten 4.2 million km farther apart.
But not according to you (and Upchurch). According to your interpretation even though from the Earth I perceive that the two ships are 4.2 million km farther apart you seem to be saying that they will only be 2.8 km farther apart (300,000 kms x 0.94c = 282,000 kms). In other words, You are saying that even though I observe each ship traveling away at 0.7 they are really only traveling .047 (0.94/2).
But by that same Logic photons leaving the Sun should be taking twice as long to get to the Earth then what they actually do. In other words, your explanation is contrary to observed reality!
It's even worse than THAT. Because the ten seconds they thrust isn't constant either. 10 seconds on Earth would NOT equal ten seconds on each rocket. Time isn't the constant here. Light is.
Forget the time dilation effects on the ships. Assume you re doing all of your observations from Earth where there is no relativistic effects. If you know both ships speed, then you can calculate the rate at which they are moving away from you – km per sec.
My problem is that you are trying to say that the ships are moving away from the Earth at one speed, but away from each other at a different speed. What you are claiming is logically contradictory, and there is no evidence to support it.
And NOW you are hitting some Quantunm theory after all. Since, theoretically, their ability to *perceive* the other ship (the information about where it is) travels at the speed of light, you'll see it where it WAS when the light gets to you. So, again, at relativistic velocities, things get very funky.
Right! Theoretically if an objective was moving away from you faster than the speed of light it would simply vanish. The light from the object couldn’t reach you because the object itself would be moving FASTER than the light streaming back towards you.
But that is the very point I was raising with this example. Even though the two ships would clearly be moving away from the Earth faster than the speed of light (from an observer on Earth’s POV), it would seem the two ships would still be able to communicate with each other but only by relaying the signal through Earth first.
Franko:
According to Einstein Time essentially stands still if you happen to be traveling at the speed of light. In other words, if you shoot a photon off towards a planet that is 100 light years away, then even though the photon takes 100 years to get there from Your POV, from the POV of the photon (if you could have ridden along), the photon arrives there instantaneously. From the photon’s ‘POV” no time has passed. But just because no Time passes doesn’t mean that no distance was traveled.
Latimer:
Very good. But, as you can see, time is the flexible ingredient. Did no time pass at all, or did 100 years pass? The answer is both! It was dependent on the frame of reference. So, again, even time is not the constant. The *only* constant is the speed of light.
Yeah, but like I said, even though no time would pass relative to an observer traveling at the speed of light, he would have still covered DISTANCE. And DISTANCE is really what we are talking about.
I am saying that if you have one ship moving away from the Earth at 210,000 km/sec then in 10 seconds the ship will be 2.1 million km farther away. If you have two of these ships and they are moving in opposite directions at this speed then after 10 seconds they will be 4.2 million km apart as measured from Earth.
If I am on the Earth and I am tracking the two ships positions and I measure two ships moving apart at 420,000 km/sec then either they are moving faster than the speed of light, or they are not.
You seem to be implying that it is physically impossible for ANY two objects (even photons) to move away from each other at a rate greater than 300,000 km/sec. Meaning photons leaving the sun on opposite sides would only travel at a TOTAL combined speed of 1.0xC. Essentially you are claiming that the speed of light is only half what everyone thinks it is. I guess someone should tell Hawking there are going to be a lot more “black holes” then he thought.