What is the difference between Boost and Translation?

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SUMMARY

The discussion clarifies the distinction between "boost" and "translation" in the context of Poincaré Transformation. A "boost" refers to a change in an object's velocity, specifically a Lorentz transformation that involves a relative velocity between coordinate systems. In contrast, a "translation" changes an object's position without any relative velocity, merely shifting the origin of the coordinate systems. The conversation emphasizes that boosts can involve changes in acceleration, force, or power, but fundamentally, they are defined by changes in velocity.

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suvendu
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As we face in Poincaré Transformation, there are boost and translational symmetry.What is the difference between these two terms?
 
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A "boost" changes an object's velocity. A "translation" merely changes its position.
 
Thanks for the reply. So basically boost is a change position with acceleration?
 
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
 
suvendu said:
Thanks for the reply. So basically boost is a change position with acceleration?
No- with constant velocity
 
suvendu said:
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.
 
Thank you jtbell,Filip and Meir. :)
 
More generally "boost'" can be a change in acceleration or in force or in power.
 
More generally a "boost" can be a change in acceleration or in force or in power.
 
  • #10
Ajit hira said:
More generally a "boost" can be a change in acceleration or in force or in power.

No. As stated before, it's a change in velocity.
 
  • #11
Ajit hira said:
More generally a "boost" can be a change in acceleration or in force or in power.
Putting the term in context: Mostly, the engines of a spacecraft are off and acceleration from them is zero. Boost, involves turning them on, (often for a short time) which will change the velocity almost instantaneously (compared with the time period of the orbit). If you're lucky, the acceleration will be constant during the period of the boost but, for a long burst, the mass of the craft will be reduced and so the acceleration may well increase during the burst time.
It strikes me that the context of the passage where the term is used will give a clue as to the details of what is meant.
 

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