Relativistic mechanics (Symbols)
================================

Symbols related to relativistic mechanics.

.. py:currentmodule:: symplyphysics.symbols.relativistic_mechanics

.. py:data:: 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:**

    #. `Wikipedia <https://en.wikipedia.org/wiki/Lorentz_factor#>`__.

Symbol:
    :code:`gamma`

Latex:
    :math:`\gamma`

Dimension:
    :code:`dimensionless`


.. py:data:: 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:**

    #. `Wikipedia <https://en.wikipedia.org/wiki/Spacetime#Spacetime_interval>`__.

Symbol:
    :code:`s`

Latex:
    :math:`s`

Dimension:
    :code:`length`


.. py:data:: 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:**

    #. `Wikipedia <https://en.wikipedia.org/wiki/Proper_time#>`__.

Symbol:
    :code:`tau`

Latex:
    :math:`\tau`

Dimension:
    :code:`time`


.. py:data:: 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:**

    #. `Wikipedia <https://en.wikipedia.org/wiki/Invariant_mass#>`__.

Symbol:
    :code:`m_0`

Latex:
    :math:`m_{0}`

Dimension:
    :code:`mass`


.. py:data:: proper_length

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

    **Links:**

    #. `Wikipedia <https://en.wikipedia.org/wiki/Proper_length#>`__.

Symbol:
    :code:`l_0`

Latex:
    :math:`l_{0}`

Dimension:
    :code:`length`


.. py:data:: relativistic_mass

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

    **Links:**

    #. `Wikipedia <https://en.wikipedia.org/wiki/Mass_in_special_relativity#>`__.

Symbol:
    :code:`m`

Latex:
    :math:`m`

Dimension:
    :code:`mass`