Does Relativity have loopholes?

Question

E=energy, c=speed of light, p=momentum, m=mass, v=velocity.
According to Relativity:
E=c*square root of(p^2+m^2c^2)
and p=(mv)/square root of(1-(v^2/c^2))
As speed increases toward the speed of light, momentum values reach infinity.
Any ways around this? (I have done the math, and I can't find any way!) Expain in details and formulas please!

Answer 1

Well the answer is the same one that you have come to! There is no way around the equations that has been found, and Special Relativity has withstood 102 years of people trying to disprove it. General Relativity has been around for 90 years, and again it hasnt been disproven either. In fact, They both have been experimentally confirmed time and time again, even being incorporated into such everyday things as GPS! Thats right, GPS wouldnt work if we didnt correct for the relativistic effects created by the satellites speeds and the effects of gravity (both a Special and a General Relativity correction is necessary). anyway, hope this helps a little, i know its not the answer you want, but keep working on it, thats one of Einsteins contributions; to make people think!

Answer 2

You have come to the right conclusions. As speed increases towards the speed of light, momentum approaches infinity.

There are some things that are inconsistent in relativity though. Presently the theory of General Relativity and Quantum Mechanics are at odds with each other. People are trying to reconcile the differences with new theories such as String Theory, and trying to unify gravity and Quantum Mechanics.

Answer 3

Of course there is
As velocity approaches c, the bottom half of the equation for momentum approaches 0. However, it never quite reaches zero, so the equation doesn't collapse entirely. But one way to avoid an answer that approaches infinity as velocity approaches c is if the mass is zero.

In that case, momentum is zero, thus preventing an infinite momentum!
I believe this is one of the reasons a photon and theoretically, the graviton, can travel at the speed of light, as they have no mass.

Answer 4

That is one of the principles of special relativity. As you increase the velocity, the mass increases as well, approaching infinity as the velocity approaches the speed of light.

Answer 5

does relativity have wormholes you mean? special relativity doesnt, but general relativity does. the trick with these little devils is that they do not contradict the faster than light speed business, because although you can get from one place to another at a velocity *apparently* faster than light, because you travel through some highly distorted space, *locally* you never actually do exceed light speed.

Answer 6

just to point out, oftentimes in physics what they'll mean when they say 'infinite' is actually a finite number that it immeasurable.