Relativistic time dilation

Time dilation is the difference in elapsed time as measured by two clocks, either due to a relative speed between them (special relativity), or a difference in gravitational potential between their locations. This law only covers the special relativistic time dilation due to acceleration.

Notation:

1. \(c\) (c) is speed_of_light.

Links:

1. Wikipedia, formula in box.

proper_time

proper_time, which is measured by clocks stationary in the proper reference frame.

Symbol:

tau

Latex:

\(\tau\)

Dimension:

time

speed

speed of the object.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

relativistic_time

Relativistic time, which is measured by clocks stationary in the external reference frame.

Symbol:

t

Latex:

\(t\)

Dimension:

time

law

t = tau / sqrt(1 - v^2 / c^2)

Latex:

\[t = \frac{\tau}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}\]