Originally posted by: MoD TaRkIn
The equation that demonstrates all this is actually quite simple. It links the relativistic mass (ie, the mass you have when you move, becasue when you move you're mass increses.) with the rest mass. This is the mass we are all familiar with, its the mass of an object at rest, although, the rest mass is approximated to be the relatavistic mass of a moving object at less than about 10% c too, simply because they are so close. anyway; m(rel)=m(rest)*gamma. And, gamma is the lorents factor (like itachi said) of 1/sqrt(1-v^2/c^2). This means that as v approaches c, gamma becomes HUGE and will tend to infinity (like everyonw said). Gamma also appears all over the place. It is the factor by which everything changes with speed. Time dilates by a factor 1/gamma, length contracts by gamma etc etc.
Also, it is not beyonde the laws of physics that there exists some exotic form of matter/energy that wouuld allow faster than light travel, it's just really unlikley.
Actually, you have stated the situation improperly. It is M(rel) = m(rest)/gamma.
When V approaches C. The v^2/c^2 becomes closer to 1 and 1 - 1 becomes zero.
When 1-V^2/C2 becomes zero you will take the square root of zero which is zero, then you will have
division by zero which results in infinity.
As to why c is a speed limit, no one can actually tell you why. Can only give you explanations as to why
it is believed to be a limit for objects that have rest mass. Why it is the speed that it is or why properties
of matter truly act the way they do, the answer is truly unknown. We can use Gravity to our advantage
or disadvantage but we do not actually know what makes it work, only that it works as we expect it
too. I believe the same this holds as to the speed of light. It is what it is. I am brushing up on my physics
to delve deeper into these topics that fascinate me so. I accept it for now. Sometimes there are truths
that we just have to accept. Does not mean we will not understand at some later time, but based on
our current technical level that is all we have.