Orbit is not an inertial reference frame. Orbit is a type of acceleration.
Also, think this through. If you are arguing that this is like the twin paradox, then the fast moving satellites should have slower clocks, right? Reread what you quoted. The clocks on earth are slower and the GPS clocks run faster. Why is that? The earth clocks are deeper in a gravity well. This also produces time dilation. The 45-7 is the dilation due to earth's gravity minus the dilation due to acceleration in orbit.
Just as the ship bound twin experiences time dilation due to his acceleration, the earth bound clocks experience experience acceleration due to gravity. in the twin paradox, the acceleration of the ship is much greater to actually get to relativistic speeds, slow from those speeds, and than reaccelerate back to earth at relativistic speeds. In the GPS example, the satellites need less acceleration to maintain their orbit than in experienced by surface clocks.
You fail to understand GPS satellites to begin with.
It does have slower clocks because of its added velocity - but faster clocks because it is further from a gravitational source. You just don't understand all that is going on. In orbit the amount they are slowed from velocity is less than the amount from being sped up away from a gravitational source.
"Because an observer on the ground sees the satellites in motion relative to them, Special Relativity predicts that we should see their clocks ticking more slowly (see the
Special Relativity lecture). Special Relativity predicts that the on-board atomic clocks on the satellites should fall behind clocks on the ground by about 7 microseconds per day because of the slower ticking rate due to the time dilation effect of their relative motion.
Further, the satellites are in orbits high above the Earth, where the curvature of spacetime due to the Earth's mass is less than it is at the Earth's surface. A prediction of
General Relativity is that clocks closer to a massive object will seem to tick more slowly than those located further away (see the
Black Holes lecture). As such, when viewed from the surface of the Earth, the clocks on the satellites appear to be ticking
faster than identical clocks on the ground. A calculation using General Relativity predicts that the clocks in each GPS satellite should get ahead of ground-based clocks by 45 microseconds per day.
The combination of these two relativitic effects means that the clocks on-board each satellite should tick faster than identical clocks on the ground by about 38 microseconds per day (45-7=38)!"
But you are refusing to accept the entire point.
We see their clocks run faster - they see our clocks run slower. Their is no reciprocity involved as you are trying to claim. If they saw our clocks run faster as we see their clocks run faster - then slowing their clocks would defeat the entire purpose of calibration as it would increase the effect - not equalize it...
And if the rocket ship accelerates to fractions of light speed, the reverse will happen. You will see it's clocks run slower while it will see your clocks run faster. Or again, you defeat the entire purpose of trying to calibrate the clocks. Because the only way you can calibrate its clocks to ours is by speeding it's clocks up, since it's clocks have slowed - not ours.
You can't admit that the rocket ship experiences time dilation and slowing clocks, then refuse to accept that the earth has undergone the same effects in an accelerating universe that has been increasing in acceleration. Just as the twin on the spaceship not being aware that time is changing - does not mean his time is not changing. Just as our being unaware that time is changing does not mean time is not changing as we speak. You can't admit to the time dilation that happens with acceleration and is maintained by velocity and then pretend it isn't happening just because you do not notice it. You KNOW it is happening to anything undergoing acceleration, whether they notice it or not.
So to get the correct age of the earth you need to adjust your clocks for the time dilation that has occurred - since you know all accelerating things undergo time dilation. The refusal to do so is just a cop-out and the refusal to accept the science of the theory you claim to follow.
And after you have adjusted them properly - you will get approximately 6,000 years in today's time. Because remember - you must adjust them exponentially since this acceleration is claimed to have began faster than c to start with. I know this is something you don't want to accept because it doesn't fit your belief system - but the science is science, and in the end you have no choice but to accept it. That or continue with your Fairie Dust.