Search results
Results from the WOW.Com Content Network
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 ...
Below are few ultrarelativistic approximations when .The rapidity is denoted : Motion with constant proper acceleration: d ≈ e aτ /(2a), where d is the distance traveled, a = dφ/dτ is proper acceleration (with aτ ≫ 1), τ is proper time, and travel starts at rest and without changing direction of acceleration (see proper acceleration for more details).
In Minkowski's 1908 paper there were three diagrams, first to illustrate the Lorentz transformation, then the partition of the plane by the light-cone, and finally illustration of worldlines. [8] The first diagram used a branch of the unit hyperbola t 2 − x 2 = 1 {\textstyle t^{2}-x^{2}=1} to show the locus of a unit of proper time depending ...
The following notations are used very often in special relativity: Lorentz factor = where = and v is the relative velocity between two inertial frames.. For two frames at rest, γ = 1, and increases with relative velocity between the two inertial frames.
The Voigt profile is normalized: (;,) =,since it is a convolution of normalized profiles. The Lorentzian profile has no moments (other than the zeroth), and so the moment-generating function for the Cauchy distribution is not defined.
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 ...
{{Information |Description=Lorentz factor as a function of velocity. Graph created with KmPlot, edited with Inkscape. This is well enough, but it takes more than 1000 segments to draw the curve. I simplify it to 4 bézier arcs. |So: 12:53, 6 October 2007: 1,102 × 1,118 (195 KB) Egg: 12:23, 6 October 2007: 1,102 × 1,118 (195 KB) Egg ...
The Lorentz factor γ retains its definition for a boost in any direction, since it depends only on the magnitude of the relative velocity. The definition β = v / c with magnitude 0 ≤ β < 1 is also used by some authors.