Quantum Quack said:
I am in a stationary position in relation to a star. I apply an energy to my frame and generate a closing velocity of x amount.
First, energy is not applied to a frame, but I understand what you meant. You mean that work is done on you thereby changing your KE.
Quantum Quack said:
I applied the energy to my rocket and certanily not to the star.
Certainly. And analysis of the situation in any inertial frame will agree with that statement. Even in the inertial frame where you are at rest after the work is done. The work done on you certainly causes you to accelerate and not the star. SR doesn't claim otherwise. It doesn't matter which frame you consider, the rocket is the one accelerating.
Quantum Quack said:
How is it reasonable for me to conclude that I am stationary and I have somehow made the star come to me when I have only applied my energy to my rocket and not the massive star. Why would I simply agree to the SRT postion when the reality is the Star is staying where it is and I am moving towards it
What does "stationary" mean? What experiment can you do to determine stationary-ness? Perhaps the star is a very small star passing next to a very large one and the rocket accelerates to match velocity with the larger star. Maybe the rocket accelerates to match velocity with a galaxy or with the CMB. What basis do you have for claiming that "the reality is the Star is staying where it is"? That you are moving towards it is without doubt, that it is stationary is very dubious.
Quantum Quack said:
We could simply reverse the absurdity even yet again and place the scenario that I applied 100 kgs of thrust to the far side of the moon and was able to propell the entire earth monn system at the velocity our luna rocket ends up travelling at.
The only absurdity is that you think this is a correct analysis according to SR.
Let me give you another analogy that may be easier for you to grasp intuitively:
I am on the first floor of my house, I plan on doing the work to walk upstairs and I want to know how much my PE will increase. I set the downstairs at h=0 and by PE=mgh rapidly calculate the work required and my change in PE. I get upstairs to find my wife wanted to know the same thing (hey, it's a story so anything can happen). However, she set the upstairs at h=0 when she did the calculation. I immediately point out that it was completely unreasonable for her to do that since she was moving the entire planet by doing that and the energy required to move an entire planet is much more than the energy I actually expended walking up the stairs. She then points out that I was moving the planet too, since I didn't draw the line at sea-level, I just didn't move it quite as far as she did. After some more arguing and then some making up we finally look at each other's results. We are stunned to realize that we agreed the entire time about the amount of work I did and the change in PE and all of our arguing about moving the planet around was irrelevant.
In other words, we were simply defining different coordinate systems. In our two coordinate system the potential energy of the earth was enormously different, however the change in my potential energy was the same. Who was right? We both were. We were just telling the story with different points of view. The line of zero PE is completely arbitrary and does not affect any measurable results.
In a similar manner picking an inertial frame is simply defining a coordinate system. The velocity of zero KE is completely arbitrary and does not affect any measurable results. Picking a rest frame is to KE what picking a h=0 line is to PE. Your complaint that the star has a lot of KE in a particular frame is no more real than my wife's complaint that the earth had too much PE in my coordinate system.
-Dale