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Definition of the Lorentz factor γ. The Lorentz factor or Lorentz term (also known as the gamma factor [1]) is a dimensionless quantity expressing how much the measurements of time, length, and other physical properties change for an object while it moves. The expression appears in several equations in special relativity, and it arises in ...
where v is the relative velocity between frames in the x-direction, c is the speed of light, and = (lowercase gamma) is the Lorentz factor. Here, v is the parameter of the transformation, for a given boost it is a constant number, but can take a continuous range of values.
the lower incomplete gamma function; the third angle in a triangle, opposite the side c; the Euler–Mascheroni constant in mathematics [18] gamma rays and the photon; the heat capacity ratio in thermodynamics; the Lorentz factor in special relativity [19] the flight path angle of an airplane
At any time after t = t′ = 0, xx′ is not zero, so dividing both sides of the equation by xx′ results in =, which is called the "Lorentz factor". When the transformation equations are required to satisfy the light signal equations in the form x = ct and x′ = ct′, by substituting the x and x'-values, the same technique produces the same ...
Relation between the speed and the Lorentz factor γ (and hence the time dilation of moving clocks). Time dilation as predicted by special relativity is often verified by means of particle lifetime experiments. According to special relativity, the rate of a clock C traveling between two synchronized laboratory clocks A and B, as seen by a ...
The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations and the Lorentz force) in a form that is manifestly invariant under Lorentz transformations, in the formalism of special relativity using rectilinear inertial coordinate systems.
This template displays the Greek letter gamma for use in mathematical equations. Template parameters [Edit template data] Parameter Description Type Status Uppercase uc uppercase Whether or not the character displayed is uppercase. Unknown optional No italic noitalic Whether or not the character displayed is not italic. Unknown optional bold bold Whether or not the character displayed is bold ...
One of the central features of GR is the idea of invariance of physical laws. This invariance can be described in many ways, for example, in terms of local Lorentz covariance, the general principle of relativity or diffeomorphism covariance. A more explicit description can be given using tensors.