Relativistic mechanics (Symbols)

Symbols related to relativistic mechanics.

lorentz_factor

Lorentz factor is a quantity expressing how much the measurements of time, length, and other physical properties change for an object while it moves.

Links:

  1. Wikipedia.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

spacetime_interval

The spacetime interval between two events in four-dimensional spacetime is the analog of the distance between two points in three-dimensional space. It has a property of being invariant under the change of reference frame.

Links:

  1. Wikipedia.

Symbol:

s

Latex:

\(s\)

Dimension:

length

proper_time

Proper time along a timelike world line is defined as the time as measured by a clock following that line. The change in proper time, called proper time interval, between two events on a world line has the property of being Lorentz invariant and is independent of coordinates.

Links:

  1. Wikipedia.

Symbol:

tau

Latex:

\(\tau\)

Dimension:

time

rest_mass

Rest mass, also called invariant mass, intrinsic mass, or proper mass, is the portion of the total mass of an object or a system of objects that is the same in all references frames related by Lorentz transformations.

Links:

  1. Wikipedia.

Symbol:

m_0

Latex:

\(m_{0}\)

Dimension:

mass

proper_length

Rest length, or proper length, is the length of an object in the object’s rest frame.

Links:

  1. Wikipedia.

Symbol:

l_0

Latex:

\(l_{0}\)

Dimension:

length

relativistic_mass

Relativistic mass of a moving object is its mass measured in an external inertial frame of reference.

Links:

  1. Wikipedia.

Symbol:

m

Latex:

\(m\)

Dimension:

mass