the conversion of space and time between two different inertial frames of reference

In physics, a Lorentz transformation is the conversion of space and time between two different inertial frames of reference.

a one- parameter family of linear transformations from a coordinate frame in space time to another frame that moves at a constant velocity

Features heavy duty weatherproof physics the Lorentz transformations are a one- parameter family of linear transformations from a coordinate frame in space time to another frame that moves at a constant velocity, the parameter within the former.

Poincaré transformations and linear/homogeneous Poincaré transformations

Poincaré transformations and linear/homogeneous Poincaré transformations are called Lorentz transformations.

to transformations between inertial frames, usually in the context of special relativity

The term 'Lorentz transformations' only refers to transformations between inertial frames, usually in the context of special relativity.

in accordance with Albert Einstein's special relativity

The Lorentz transformation is in accordance with Albert Einstein's special relativity, but was derived first.

a mathematical transformation of space-time coordinates of a physical event

Lorentz transformation is known that Lorentz transformation is a mathematical transformation of space-time coordinates of a physical event.

coordinates of events in one reference frame

Lorentz transformations relate coordinates of events in one reference frame to those of another frame.

a rotation in four-dimensional space about the origin by introducing as a fourth imaginary coordinate

Max Abraham noticed that the Lorentz transformation is merely a rotation in four-dimensional space about the origin by introducing as a fourth imaginary coordinate, and Max Abraham used an early form of four-vectors.

those linear transformations that preserve the Minkowski metric (i.e. preserve the spacetime interval)

The Lorentz transformations used in physics are those linear transformations that preserve the Minkowski metric (i.e. preserve the spacetime interval) and that also preserve the past and future light cones (so called orthochronic Lorentz transformations).

Those isometries that leave the origin fixed

Those isometries that leave the origin fixed are called Lorentz transformations and give rise to the symmetry known as Lorentz covariance.

squeeze mappings, the linear transformations that turn a square into a rectangles of the same area

In mathematical terms, Lorentz transformations are squeeze mappings, the linear transformations that turn a square into a rectangles of the same area.

the basis of Einstein's special theory of relativity

Lorentz transformations, which Heike Kamerlingh Onnes introduced in 1904, form the basis of Einstein's special theory of relativity.

mathematical formulas , now called Lorentz transformations,

In 1904 Dutch physicist Hendrik Lorentz calculated mathematical formulas, now called Lorentz transformations, to show how one observer's space and time measurements are related to the observations of a second observer who is moving (relative to the first observer), a work expanded by Albert Einstein into Dutch physicist Hendrik Lorentz's special theory of relativity.

at the heart of special relativity

Lorentz transformations are at the heart of special relativity.

to those of another frame

Lorentz transformations relate coordinates of events in one reference frame to those of another frame.

The equations used in relativity theory to change from a coordinate system, or frame of reference, in which the observer is at rest to a second system that is moving at constant velocity with respect to the first system

The equations used in relativity theory to change from a coordinate system, or frame of reference, in which the observer is at rest to a second system that is moving at constant velocity with respect to the first system are known as the Lorentz transformation.