# What is the difference between Boost and Translation?

by suvendu
Tags: boost, difference, translation
 P: 19 As we face in Poincaré Transformation, there are boost and translational symmetry.What is the difference between these two terms?
 Mentor P: 11,623 A "boost" changes an object's velocity. A "translation" merely changes its position.
 P: 19 Thanks for the reply. So basically boost is a change position with acceleration?
 PF Gold P: 958 What is the difference between Boost and Translation? I always read "boost" as short for "Lorentz boost" and simply meaning the Lorentz transformation for a given velocity (speed and direction). For what it is worth, Wikipedia [1] seems to agree with this, with the addition that a boost is a rotation-free Lorentz transformation. [1] http://en.wikipedia.org/wiki/Lorentz_transformation
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PF Gold
P: 1,991
 Quote by suvendu Thanks for the reply. So basically boost is a change position with acceleration?
No- with constant velocity
Mentor
P: 11,623
 Quote by suvendu Thanks for the reply. So basically boost is a change position with acceleration?
We're simply changing coordinate systems. No acceleration of the object is involved.

In a translation, the initial and final coordinate systems simply have different origins. There is no relative velocity between these two coordinate systems.

In a boost, the final coordinate system has some velocity relative to the initial coordinate system. The origins of the two coordinate systems often coincide at t = 0.
 P: 19 Thank you jtbell,Filip and Meir. :)

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