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Length contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame. [1] It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald ) and is usually only noticeable ...
However, they denied the idea that those stresses are caused by length contraction in S. This is because, in their opinion, length contraction has no "physical reality", but is merely the result of a Lorentz transformation, i.e. a rotation in four-dimensional space which by itself can never cause any stress at all. Thus the occurrence of such ...
Special relativity corrects the hitherto laws of mechanics to handle situations involving all motions and especially those at a speed close to that of light (known as relativistic velocities). Today, special relativity is proven to be the most accurate model of motion at any speed when gravitational and quantum effects are negligible.
The emergence of the muons is caused by the collision of cosmic rays with the upper atmosphere, after which the muons reach Earth. The probability that muons can reach the Earth depends on their half-life, which itself is modified by the relativistic corrections of two quantities: a) the mean lifetime of muons and b) the length between the upper and lower atmosphere (at Earth's surface).
The ladder paradox (or barn-pole paradox) is a thought experiment in special relativity.It involves a ladder, parallel to the ground, travelling horizontally at relativistic speed (near the speed of light) and therefore undergoing a Lorentz length contraction.
In the k-calculus methodology, distances are measured using radar.An observer sends a radar pulse towards a target and receives an echo from it. The radar pulse (which travels at , the speed of light) travels a total distance, there and back, that is twice the distance to the target, and takes time , where and are times recorded by the observer's clock at transmission and reception of the ...
The time it takes light to traverse back-and-forth along the Lorentz–contracted length of the longitudinal arm is given by: = + = / + / + = / = where T 1 is the travel time in direction of motion, T 2 in the opposite direction, v is the velocity component with respect to the luminiferous aether, c is the speed of light, and L L the length of the longitudinal interferometer arm.
1902 – Lord Rayleigh writes that Lorentz’s hypothesis of length contraction predicts a form of birefringence and tries to observe it. [14] The null result questions Lorentz’s model, but it would be later explained by a combination of length contraction and time dilation. 1902 – Max Abraham develops his classical model of the electron.