Lorentz Transformation For Frames in Standard Configuration
Consider two observers O and O', each using their own Cartesian coordinate system to measure space and time intervals. O uses (t, x, y, z) and O ' uses (t', x', y', z' ). Assume further that the coordinate systems are oriented so that, in 3 dimensions, the x-axis and the x' -axis are collinear, the y-axis is parallel to the y' -axis, and the z-axis parallel to the z' -axis. The relative velocity between the two observers is v along the common x-axis. Also assume that the origins of both coordinate systems are the same, that is, coincident times and positions.
If all these hold, then the coordinate systems are said to be in standard configuration. A symmetric presentation between the forward Lorentz Transformation and the inverse Lorentz Transformation can be achieved if coordinate systems are in symmetric configuration. The symmetric form highlights that all physical laws should remain unchanged under a Lorentz transformation.
Below the Lorentz transformations are called "boosts" in the stated directions.
Read more about this topic: Lorentz Transformation
Famous quotes containing the words frames and/or standard:
“In frames as large as rooms that face all ways
And block the ends of streets with giant loaves,
Screen graves with custard, cover slums with praise
Of motor-oil and cuts of salmon, shine
Perpetually these sharply-pictured groves
Of how life should be.”
—Philip Larkin (1922–1986)
“Gentlemen, those confederate flags and our national standard are what has made this union great. In what other country could a man who fought against you be permitted to serve as judge over you, be permitted to run for reelection and bespeak your suffrage on Tuesday next at the poles.”
—Laurence Stallings (1894–1968)