The problem frankly is that he said contridictary things as well. He also said each can claim to be at rest and the other has the veloicty and becomes dilated. That is what produced the twin paradox.
I already showed how to get the same answer by calculating things from either twin's POV. Since the spacefaring twin accelerates and reverses direction at some point, there is no frame in which they can always be taken to be resting for the entire trip. Einstein never said such a reciprocity existed. Now if the spacefaring twin doesn't reverse direction, but just keeps going, he will correctly determine that Earth's twin's clock is ticking slower than his, whereas the Earth twin correctly concludes the opposite. No contradiction here, since light signals from each twin won't arrive in time to force compensatory corrections. But again, since one of the twins is reversing direction, this kills the reciprocity because they can only be considered inertial during the two separate legs of the trip. Do your homework and show me where Einstein claimed there was reciprocity in the twins paradox, because I say you either rely on bogus sources, or else you made it up yourself.
And yes I have no intention of going back and re-reading lengthy papers trying to find a purported statement that might or might not be there but might well just be your mis-interpretation or wishful thinking of what was actually said. It is incumbent upon you to post the specific quote you feel proves your position. Then it could be accepted or rejected. I will not do your leg work.
Here's the quote from Einstein's paper. Link was already given in last post so I shall not repost it, as there's no valid reason my link should have been ignored in the first place.
From this there ensues the following peculiar consequence. If at the points A and B of K there are stationary clocks which, viewed in the stationary system, are synchronous; and if the clock at A is moved with the velocity $$v$$ along the line AB to B, then on its arrival at B the two clocks no longer synchronize, but the clock moved from A to B lags behind the other which has remained at B by $$\frac{1}{2}tv^2/c^2$$ (up to magnitudes of fourth and higher order), $$t$$ being the time occupied in the journey from A to B.
There you have it. Set up a beacon in space at rest relative to Earth, and synchronize its clock with Earth's clock as seen in Earth's rest frame. If the spacefaring twin accelerates and journeys out to the space beacon, the trip time he measures will be less than what Earth and beacon measure. Same thing for the return trip. From what orifice do you get this claim that Einstein said reciprocity applies to the twins paradox?
Actually no. I have already said I had no real interest in seeing an alternative calculation but for you to do so if you wished. I'll need to go back and review the ground rules I posted for making the challenge because I don't see any here.
Well as far as our own mutual dialogue goes, I asked you to substantiate your ECI claims before you asked anything of me. Since I asked you first, you're the one complaining that most scientists ignore your ideas, and you're challenging a paradigm that has existed for more than 100 years, I think we should first put the ECI issue to rest and then I promise to address your subsequent challenge.
Plain and simply, if you treat the Earth-based clock as being at rest for each separate instance in time, and use only the relative velocities, positions and times that it measures from its own POV, an observer moving with this clock will correctly determine that the time difference between the orbiting and surface clocks, in the absence of gravity, is -7.2us/day, not -5.8us/day as you claim. This determination is made entirely using Special Relativity and relative measurements, with no reference to GR or gravity whatsoever. The reason you are getting -5.8us/day is because you are incorrectly applying the rules of SR. Either you can agree to look at my calculation and show me where the flaw in my reasoning lies, or I will be unable to take you seriously when you claim to understand SR and know how to apply it.
You can't keep making claims about ECI to support your arguments, without ultimately backing them up when someone asks to see your math or offers to post a correction to your claims. Otherwise it's just trolling, not a proper scientific debate. Address this issue first and I promise I will deal with your subsequent challenge. In fact, if you just promise to look at my GPS calculations once I post them, and to either offer a criticism of the math or else to drop your ECI claims altogether, I will even agree to answer your challenge at the same time.
Before I consider the counter-challenge you propose, I also need to know two things. 1) Who judges what the correct answer is, and how? 2) If the origin of the third coordinate system is at (x,y,z,t)=(0,0,0,0), then at what positions and times do each of the two clocks start registering ticks, as seen in this frame?