The Lorentz factor or Lorentz term (also known as the gamma factor) is a dimensionless quantity expressing how much the measurements of time, length, and...
13 KB (1,668 words) - 21:01, 19 May 2025
={\frac {1}{\sqrt {1-v^{2}/c^{2}}}}} is the Lorentz factor. When speed v is much smaller than c, the Lorentz factor is negligibly different from 1, but as...
107 KB (14,891 words) - 01:24, 14 June 2025
with something in its path. In special relativity, the dimensionless Lorentz factor appears frequently, and is given by γ = 1 1 − v 2 c 2 {\displaystyle...
25 KB (3,417 words) - 16:35, 5 May 2025
Hyperbolic growth (section Lorentz factor)
advance → faster growth of the Earth's carrying capacity, and so on. The Lorentz factor γ is defined as γ = 1 1 − ( v c ) 2 = 1 1 − β 2 , {\displaystyle \gamma...
26 KB (2,748 words) - 21:36, 5 June 2025
observations is associated with the Doppler effect. Time dilation by the Lorentz factor was predicted by several authors at the turn of the 20th century. Joseph...
53 KB (6,730 words) - 14:18, 15 May 2025
Spacetime (redirect from Lorentz interval)
than zero, the Lorentz factor will be greater than one, although the shape of the curve is such that for low speeds, the Lorentz factor is extremely close...
132 KB (19,765 words) - 09:00, 3 June 2025
relativity the Lorentz factor is a measure of time dilation, length contraction and the relativistic mass increase of a moving object. Lorentz factor Relative...
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Thomas precession (section Lorentz transformations)
{1-{\dfrac {|\mathbf {v} (t)|^{2}}{c^{2}}}}}}} is the instantaneous Lorentz factor, a function of the particle's instantaneous velocity. Like any angular...
33 KB (4,713 words) - 17:03, 24 May 2025
Length contraction (redirect from Lorentz–FitzGerald contraction hypothesis)
own rest frame. It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald) and is...
40 KB (5,073 words) - 16:50, 10 May 2025
In electromagnetism, the Lorentz force is the force exerted on a charged particle by electric and magnetic fields. It determines how charged particles...
51 KB (7,584 words) - 06:12, 17 June 2025
(moving clocks run more slowly). The factor γ by which lengths contract and times dilate is known as the Lorentz factor and is given by γ = (1 − v2/c2)−1/2...
141 KB (14,711 words) - 01:18, 17 June 2025
Proper velocity w can be related to the ordinary velocity v via the Lorentz factor γ: w = d x d t d t d τ = v γ ( v ) {\displaystyle {\textbf {w}}={\frac...
21 KB (2,600 words) - 11:39, 1 June 2025
py, pz) = γmv, where v is the particle's three-velocity and γ the Lorentz factor, is p = ( p 0 , p 1 , p 2 , p 3 ) = ( E c , p x , p y , p z ) . {\displaystyle...
22 KB (3,832 words) - 18:40, 9 May 2025
warped by the γ factor) and perpendicular; see the article Lorentz transformation for details. A quantity that is invariant under Lorentz transformations...
187 KB (25,060 words) - 17:11, 15 June 2025
spectral line in the Balmer series Surface energy in materials science The Lorentz factor in the theory of relativity In mathematics, the lower incomplete gamma...
15 KB (1,736 words) - 00:39, 6 May 2025
magnitude |p| = p. The relativistic energy E and momentum p include the Lorentz factor defined by: γ ( u ) = 1 1 − u ⋅ u c 2 = 1 1 − ( u c ) 2 {\displaystyle...
27 KB (3,950 words) - 19:46, 18 December 2024
In the physics of electromagnetism, the Abraham–Lorentz force (also known as the Lorentz–Abraham force) is the reaction force on an accelerating charged...
39 KB (5,497 words) - 18:43, 23 May 2025
warping of space and time is precisely mathematically specified by the Lorentz factor, which depends on velocity. Although only theoretical when published...
20 KB (2,397 words) - 01:49, 9 February 2025
dynamics, the fine-structure constant in quantum mechanics, and the Lorentz factor in relativity. In chemistry, state properties and ratios such as mole...
22 KB (2,254 words) - 17:27, 22 May 2025
The intensity of radiation was proportional to the logarithm of the Lorentz factor of the particle. After the first observation of the transition radiation...
8 KB (1,165 words) - 21:58, 20 May 2025
three-dimensional vector calculus formalism, due to the nonlinearity in the Lorentz factor, which accurately accounts for relativistic velocity dependence and...
35 KB (4,943 words) - 00:38, 25 April 2025
(positive if moving away from receiver); c = speed of light; γ = Lorentz factor; a = scale factor; G = gravitational constant; M = object mass; r = radial Schwarzschild...
87 KB (9,212 words) - 08:08, 31 May 2025
reduces to E r e l = p c {\displaystyle E_{\rm {rel}}=pc} . Using the Lorentz factor, γ, the energy–momentum can be rewritten as E = γmc2 and expanded as...
90 KB (11,631 words) - 13:07, 24 May 2025
Four-vector (redirect from Lorentz vector)
four-vector (or 4-vector, sometimes Lorentz vector) is an object with four components, which transform in a specific way under Lorentz transformations. Specifically...
47 KB (8,365 words) - 14:48, 25 February 2025
frequency would be reduced by the Lorentz factor, so that the received frequency would be reduced (redshifted) by the same factor. On the other hand, Kündig...
47 KB (5,733 words) - 20:03, 22 May 2025
effects of special relativity are based on a quantity known as the Lorentz factor, defined as γ = 1 / 1 − v 2 / c 2 {\displaystyle \textstyle \gamma =1/{\sqrt...
155 KB (15,859 words) - 20:24, 29 May 2025
shifts with what was predicted by classical theory, and look for a Lorentz factor correction. Such a correction was observed, from which was concluded...
27 KB (2,953 words) - 15:00, 8 June 2025
ratio of the velocity of an object to the speed of light as used in the Lorentz factor a type of receptor for the noradrenaline neurotransmitter in neuroscience...
62 KB (6,019 words) - 01:11, 9 June 2025
\gamma ={\frac {1}{\sqrt {1-v^{2}/c^{2}}}}.} is called the Lorentz factor. The Lorentz factor increases steeply as the relative velocity approaches the...
96 KB (11,777 words) - 14:52, 25 May 2025