Relativity problem?

Question

We know that t=t0/{1-(v/c)^2}, t0 is the time experienced by a person traveling at v speed in a space ship, t is the time that is experienced by a stationary observer on the earth.
None of the reference frame is more fundamental than other. So we can assume the space ship to be stationary and the planet earth is in motion( i.e -v). So easily opposite of the formula can be proven. That is : t0=t/{1-(v/c)^2},
In the first case time is dilated for the spaceman. And in the second it is true for the person on the earth. Which one is the truth? If both, How possible!

Let's think of a particular case, a vehicle can travel at such speed that it can dilate time, 5 fold than a stationary observer (relative to the earth). So for every ticking of second in a clock placed inside the vehicle, there will be 5 on the clock of a stationary observer. Let's place two stationary clock along the path of the vehicle. Say, the vehicle meet the first clock when both clock gave the same reading. Let it be 00:00. When the vehicle rider reached the second clock his clock showed that one second has passed( i.e 00:01). So the reading on the stationary clock would be 00:05. This strongly shows that time ONLY dilated for the vehicle rider.
Further examples are those when an austraunaut departs at nearby speed of light, when he returns he returns to a different earth. Many years passes when he spent some hours at a speed of 99% that of light.This also shows that time ONLY dilated for the austraunaut, not for the dwellers on the earth. WhY??

Answer 1

It IS both.
And it is possible because regardless of which point of view you take (earth or spaceman), either one is a different frame of reference that can be used to measure time.
Why cant they both be true? Do you really have a problem with 2 different people having 2 different perspectives on the same thing?

For example:

Right now I'm in Hawaii, and I'm willing to bet i see the constellations in the sky in a different way than you do. If you are at a higher latitude than i am, i.e. above around 22 degrees N, you are going to see the constellation Orion lower on the horizon than i do right now.
Does that mean that the stars in the constellation are at different places in the universe because you see it in a different place than i do?
Of course not, but since you have a different perspective, you see it differently than i do.
Neither of us are wrong however, and i hope you can see why!

This is the essence of Relativity...and yes it is a little weird :)

And to address your comment:

Using exactly what you said....yes, time dilated for the spaceman, and to him, he was only gone for a year.
Now say his parents were there at his launch:
to them, their son (the spaceman) was gone for millions of years (if they lived that long).

Do you not see how they are two different, relative, views of time, meaning that both views are just as valid?

I KNOW its wierd, but time dilation has been proven over and over again...

Answer 2

Both are. Let there be an astronomer on earth, watching a clock on the spaceship through a telescope as it whizzes by. Let there also be an observer in the spaceship, watching a clock on the astronomer's wall through a telescope. Each of the observers will think that the other's clock is running slow. So, not only is position relative, so is time. This is difficult to comprehend unless you grind through the mathematics, as it is so counter-intuitive.

Answer 3

a million) do no longer assume that element is continuing 2) you ought to be very clean concerning to the observational coordinate device and relative action on a similar time as determining relativistic matters. Measurements made via making use of two observers with distinctive reference frames might desire to be inconsistent on a similar time as the two being the proper determination.

Answer 4

it has to do with the velocities relative to the speed of light. if the space ship is moving faster relative to the speed of light than the observer on earth is, his time dilation would be greater.

Answer 5

in special theory of relativity all event depend on observer, so observer on the earth saw the ship move relative w.r.t earth so the time dillation occured to it , and vice versa correct w.r.t observer on ship

Answer 6

sorry, haven't the foggiest