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Lorentz Factor

The Lorentz factor is the factor by which time, length and relativistic mass change for an object while that object is moving.

The Lorentz factor equals the reciprocal of the square root of 1 minus the square of the ratio of the velocity and the speed of light.

Formula

QuantityVariable["γ", "RelativisticGamma"] == 1/Sqrt[1 + Quantity[-1, "SpeedOfLight"^(-2)]*QuantityVariable["v", "Speed"]^2]

symbol description physical quantity
γ relativistic gamma "RelativisticGamma"
v velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Lorentz Factor"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Lorentz Factor"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Lorentz Factor"], {QuantityVariable["v","Speed"] -> 
   Quantity[0.5`, "SpeedOfLight"]}]
Out[3]=

Source Metadata

Publisher Information