Relativistic length via rest length and speed

Length contraction is the phenomenon that a moving object’s length is measured to be shorter than its proper length, which is the length as measured in the object’s own rest frame. Note that this phenomenon is only observed in the direction parallel to the velocity of the object.

Notation:

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

Links:

1. Wikipedia.

proper_length

proper_length of the object.

Symbol:

l_0

Latex:

\(l_{0}\)

Dimension:

length

speed

speed of the object.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

relativistic_length

Relativistic length of the object, i.e. its length measured in the external reference frame.

Symbol:

l

Latex:

\(l\)

Dimension:

length

law

l = l_0 * sqrt(1 - v^2 / c^2)

Latex:

\[l = l_{0} \sqrt{1 - \frac{v^{2}}{c^{2}}}\]