In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that...

In special relativity, a Lorentz transformation is a linear transformation of the spacetime coordinates t, x, y, z that preserves the Minkowski invariant...

and again in 1904, Lorentz added time dilation to his transformations and published what Poincaré in 1905 named Lorentz transformations. It was apparently...

of Lorentz transformations comprises the development of linear transformations forming the Lorentz group or Poincaré group preserving the Lorentz interval...

In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for...

contracted quantities may change under Lorentz transformations, the Lorentz scalars remain unchanged. A simple Lorentz scalar in Minkowski spacetime is the...

boosts, transformations connecting two uniformly moving bodies (K). The last two symmetries, J and K, together make the Lorentz group (see also Lorentz invariance);...

There are many ways to derive the Lorentz transformations using a variety of physical principles, ranging from Maxwell's equations to Einstein's postulates...

equations in special relativity, and it arises in derivations of the Lorentz transformations. The name originates from its earlier appearance in Lorentzian...

In electromagnetism, the Lorentz force is the force exerted on a charged particle by electric and magnetic fields. It determines how charged particles...

origin). Lorentz transformations are Poincaré transformations which are linear transformations (preserve the origin). Lorentz transformations play the...

proving that Lorentz transformations are a subset of his Poincaré group of symmetry transformations. Einstein later derived these transformations from his...

These transformations preserve angles, map every straight line to a line or circle, and map every circle to a line or circle. The Möbius transformations are...

coordinates in any momentarily co-moving primed frame using the Lorentz transformations. Fig 5-2 illustrates the changing views of spacetime along the...

4-vector, sometimes Lorentz vector) is an object with four components, which transform in a specific way under Lorentz transformations. Specifically, a four-vector...

What is now often called Lorentz ether theory (LET) has its roots in Hendrik Lorentz's "theory of electrons", which marked the end of the development...

differentiable coordinate transformations, which is an important idea in general relativity. Invariance is specified mathematically by transformations that leave some...

of light in vacuum. (See also: Lorentz covariance.) It is possible to derive the form of the Lorentz transformations from the principle of relativity...

the Lorentz transformations and Poincaré transformations; conversely, the group contraction in the classical limit c → ∞ of Poincaré transformations yields...

them derived the Lorentz transformations on this basis. None of them fully understood the physical implications of these transformations. It all was Einstein's...

Lorentz's 1895 transformation into a form algebraically equivalent to the modern Lorentz transformations, however, he stated that his transformations...

light is constant. Without assuming the second postulate, the Lorentz transformations can be obtained. However, there is a free parameter k, which renders...

the Lorentz transformations asymptotic symmetry transformations, there are also additional transformations that are not Lorentz transformations but are...

operated on by Lorentz transformations and the indices (p, σ) operated on by Poincaré transformations. This may be called the Lorentz–Poincaré connection...

dimension as in Minkowski space, so spherical wave transformations are connected to the Lorentz transformation of special relativity, and it turns out that...

Einstein derived the Lorentz transformations from first principles in 1905, but these three experiments allow the transformations to be induced from experimental...

invariance of laws of physics under different transformations, and was the first to present the Lorentz transformations in their modern symmetrical form. Poincaré...

can exceed the speed of light. Such formulas apply to successive Lorentz transformations, so they also relate different frames. Accompanying velocity addition...

coordinate transformations preserving the wave equation. They are very similar – but not equivalent – to the later Lorentz transformations. 1887 – the...

theoretical physics, the composition of two non-collinear Lorentz boosts results in a Lorentz transformation that is not a pure boost but is the composition of...