What is the velocity to time dilation equation.

[AlexBrown]

After a post by somebody about how to go faster than light was posted(later proven very much wrong by relativity) I was wondering what is the equation for velocity to time dilation. May seem like a basic question but I am only 13.

Also I do know that it actually is caused by the increased mass of an object due to speed and the mass curving space-time but I don't know Any of the equations involved.

Edited January 5, 2014 by AlexBrown
Needed to specify something.

[brooklyn666]

What you're looking for is called the Lorentz Factor. It's a useful equation within special relativity. It's denoted with the symbol "Γ" (upper case gamma).

Γ = 1/=[√1-(v^2/c^2)] = 1/√1-ß^2 = dt/dT

v is the relative velocity between the two inertial reference frames, c is the speed of light in a vacuum, ß is the ratio of v to c, and T proper time from the observer's frame of reference.

to figure out how much time has passed in one frame, you can do the following: t = t0/[√1-(v^2/c^2)] where t is time from the observers frame, t0 is elapsed time in the rest frame, and v is velocity.

Edited January 5, 2014 by brooklyn666

[maltesh]

Also, it's not caused by relativistic mass (Whose use seems to have fallen out of favor over the past few decades). Relative velocity time dilation is required to allow the speed of light to remain constant to all observers in all inertial reference frames.

http://en.wikipedia.org/wiki/Time_dilation#Simple_inference_of_time_dilation_due_to_relative_velocity