Your mistake was thinking that momentum equals mv. That's not true in relativity. In relativity, p = gamma*mv.harpf said:SQRT(3)mc = p
SQRT(3)mc = mv
The relativistic speed of a particle is the speed at which an object is moving relative to an observer, taking into account the effects of special relativity, including time dilation and length contraction.
Relativistic speed takes into account the effects of special relativity, whereas classical speed only considers the object's speed in relation to a stationary observer. Relativistic speed also takes into account the fact that the speed of light is constant and the maximum speed at which any object can travel.
The formula for calculating relativistic speed is v = c * tanh(c/u), where v is the relativistic speed, c is the speed of light, and u is the classical speed of the object.
According to the theory of special relativity, no object with mass can reach the speed of light. As an object approaches the speed of light, its mass increases and it requires an infinite amount of energy to accelerate further.
As an object approaches the speed of light, time dilation occurs, meaning that time appears to pass more slowly for the object. Additionally, length contraction occurs, meaning that the length of the object appears to decrease in the direction of its motion.