Re: Why we can\'t reach the speed of light?
Glennmac,
The twins paradox is that once you reach a relativistic speed and maintain it, you think you are stationary and everything else is moving. So if you take two twins, and put one in a spaceship and accellerate them to near light speed and have them go to a point, then have them reverse direction and come back to earth at the same speed, they will by younger than the twin on the earth. But how can that be if they saw the earth move away from them. When they get back, or when the earth gets back to them, shouldn't the twin on the earth be the younger one???
It turns out, there really isn't a paradox. It's all a matter of point of view, and the twin on the ship will be younger.
Rather than my taking a lot of time to write it up, check out this link
http://www.pigsty.demon.co.uk/twins.html
I mostly agree with his math, but prefer to "visualize" it differently. I like to think of the ship twin as sending out a laser beam of light, which is watched by both twins, and see how long each would think it takes to reach it's destination. For example, if the ship twin fires the laser at the destination point at the start of the journey, and the destination is 1.72 light years away per the above example, and the ship is going .86c, the earth twin sees the light go 1.72light years at light speed, and it takes two years, while the ship chases the laser beam. So it sees the light leave the ship at .14c. The ship twin sees the light move away from it's ship at full light speed (remember, that's why it's relativity, light always appears to go c) towards a point moving toward it at near light speed, so it takes less time for the laser to hit the mark. The ship twin can also fire the laser towards earth several times during the trip, and if you do math using gamma to correct for adding relativistic speeds, the ship twin will come up with less time elapsing. Just think about the ship twin firing the laser at the earth when they reach the far point and what each one sees. I haven't done this in years, but I thought with my method both legs appear to take the same amt of time to the ship twin?? Too tired to cruch those numbers. Sorry. Maybe Patrick can clarify it.
but the end result is that there is no paradox, it's just a matter of perspective. you can't assume both twins see the same distances or speeds.
ya think those thick glasses let particle physicists see around corners?
Todd