What is the conserved quantity for boosts in the Poincare group?

Thread starter pinu
Start date Mar 11, 2012
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Boost Charge

In summary, a conserved charge for boost is a physical quantity that remains constant in a system undergoing a boost, and is important in physics because it represents fundamental symmetries in nature. Examples of conserved charges for boost include energy, momentum, and angular momentum, and this concept is related to relativity and the principle of relativity. While in classical physics these charges cannot be violated, there may be cases in quantum mechanics where they appear to be violated due to quantum fluctuations. Overall, the conservation of these charges is a fundamental principle in physics and has been experimentally verified in many situations.

Mar 11, 2012

pinu

In (3+1) dimension Poincare group has three types of Symmetries :

I. Space-time translations - 4
II. Spatial rotations -3 &
III. Boosts -3

Among them, (I) implies "conservation of 4-momentum" ,
(II) implies "conservation of angular momentum" ,

But what "Physical entity" is conserved for BOOSTS ??

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Mar 11, 2012

Lapidus

Look here and here.

What is a conserved charge for boost?

A conserved charge for boost is a physical quantity that remains constant in a system undergoing a boost, which is a relativistic transformation that changes the velocity of an object.

Why is a conserved charge important in physics?

Conserved charges are important because they represent fundamental symmetries in nature and play a crucial role in describing the behavior and properties of physical systems. They also help to simplify complex physical problems and provide a deeper understanding of the underlying principles of the universe.

What are some examples of conserved charges for boost?

Examples of conserved charges for boost include energy, momentum, and angular momentum. These quantities are conserved in a boost transformation because they are invariant under the laws of physics.

How is a conserved charge for boost related to relativity?

A conserved charge for boost is related to relativity because it is a consequence of the principle of relativity, which states that the laws of physics should be the same for all observers in uniform motion. This principle leads to the conservation of certain quantities, including charge, in relativistic systems.

Can a conserved charge for boost ever be violated?

In classical physics, a conserved charge for boost cannot be violated. However, in quantum mechanics, there are some cases where these charges may appear to be violated due to quantum fluctuations. Overall, the conservation of these charges is a fundamental principle in physics and has been experimentally verified in many situations.