These experiments all showed that light simply did not follow the Galilean transformation.

The Galilean transformations assume that time is the same for all reference frames.

As a Lie group, the Galilean transformations have dimensions 10.

Experiment rules out the validity of the Galilean transformations.

Two inertial frames are related by a Galilean transformation.

The Galilean transformation is a good approximation only at relative speeds much smaller than the speed of light.

An important application is absolute time and space where Galilean transformations relate frames of reference.

Nevertheless, it will be a Galilean transformation to a very good approximation, at velocities much less than the speed of light.

These frames are related by Galilean transformations.

This is the basis of the Galilean transformation, and the concept of frame of reference.

This is called a Galilean transformation.

It is always possible to convert an oblique shock into a normal shock by a Galilean transformation.

Hence, "absolute space" was not preferred, but only one of a set of frames related by Galilean transformations.

Maxwell's equations are written using vectors and at first glance appear to transform correctly under Galilean transformations.

This was reasonable because the previous (confirming) tests of the Galilean transformation did not reach speeds where this effect would have been apparent.

This means that the Galilean transformation and the addition of velocities only apply to frames that are moving at a constant velocity.

The development of a suitable transformation to replace the Galilean transformation is the basis of special relativity.

They are different from the Galilean transformations because of the unique form of the Minkowski metric.

This is Galilean-Newtonian relativity, and the coordinate systems are related by Galilean transformations.

In special relativity the Galilean transformations are replaced by Lorentz transformations.

If v c the Galilean transformation is a good approximation to the Lorentz transformation.

As a result, position and time in two reference frames are related by the Lorentz transformation instead of the Galilean transformation.

The Lorentz transformations are the relativistic equivalent of Galilean transformations.

Emission theories use the Galilean transformation, according to which time coordinates are invariant when changing frames ("absolute time").

For , let's consider the generator of Galilean transformations (i.e. a change in the frame of reference).