Hi ICANT,
Permit me to butt in again before departing for the depths once more...
icant writes:
In Message 314 to Taq I stated:
quote:I am traveling at 1/2 c it takes exactly 2 years to reach the middle of my turn around without slowing down.
I continue my journey at 1/2 c which takes exactly 2 years to return to earth.
So explain to me how I can experience less than 4 years if c is constant?
So if time dilation is true explain to me how I can experience less than 4 years if c is constant.
The answer to your conundrum should be glaringly obvious if you had ever cared to read anything about relativity. You see, time dilation (terrible word that) does not stand alone, there is also length contraction (another bad choice of word). If you're travelling at c/2, the distance you travel in your frame of reference is also reduced, coincidentally
by the same amount that the time is "dilated" in that frame.
So the opening statement of the quote is WRONG - and of course, the rest then just falls apart.
If you execute your turn-around at a pre-determined point one light-year from the Earth (as measured FROM EARTH), then you'd arrive earlier than you expect - your odometer would read 0.87 light years and your dash clock only 1.75 years.... on your return, you'd only have been travelling for 3.5 years, although 4 years would have elapsed on Earth. And if you'd planted a flag at the turn-around point, when you return to Earth you'd see it's really 1 light year away after all!
Oh, and before you get clever with me, if you'd gone on for the whole 2 years so that your odometer read 1.0 ly before turning, then 4.6 years would have elapsed on Earth and measurements would show that you've planted the flag 1.15 light years away.
Hard to twist your mind around, but no contradiction, no paradox. As I've said earlier it's mathematically INEVITABLE if the speed of light is to remain constant in all inertial frames - only you won't do the maths, will you? And it's been experimentally proven - as others have already told you, you really should read up about the cosmic-ray muon problem, which you've also been avoiding.
And I'll leave you with a quotation, from worthier lips than mine - there are none so blind as those who WILL NOT see.