Proper time for timelike intervals

In relativity, proper time along a timelike world line is defined as the time as measured by a clock following that line. The proper time interval between two events on a world line is the change in proper time, which is independent of coordinates, and is a Lorentz scalar.

Notation:

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

Conditions

1. The interval is timelike, i.e. \(\Delta s\) is real.

Links:

1. Wikipedia, equivalent to formula 2 in box.

proper_time

The proper_time interval between two events.

Symbol:

Delta(tau)

Latex:

\(\Delta \tau\)

Dimension:

time

spacetime_interval

The spacetime_interval between two events.

Symbol:

Delta(s)

Latex:

\(\Delta s\)

Dimension:

length

law

Delta(tau) = Delta(s) / c

Latex:

\[\Delta \tau = \frac{\Delta s}{c}\]