QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 ?

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In summary, the conversation discusses the possibility of thinking about electric charge, weak charge, and QCD's color charge as quantized momentum in different group manifolds. The group manifold of U(1) can be visualized as a circle, but it is unclear how to visualize the group manifolds of SU(2) and SU(3). The conversation ends with a request for further thoughts on the matter.
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Spinnor
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If in some theories I can think of electric charge as being quantized momentum around a circle could I think of Weak Charge as quantized momentum in the space T^2, a two-torus, or think of QCD's color charge as quantized momentum in the space T^3, a three torus? Certain directions in T^2 and T^3 might be forbidden? Whether wrong or right I'm just curious what is the natural continuation of thought on this matter is.

Thanks for any help!
 
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  • #2
I believe you are on the right track. What you want to say is that the various charges you mentioned may be associated with what you call 'quantized momentum' in their respective group manifold. The group manifold of U(1) is isomorphic to a circle, so that's ok. But I don't know how to visualize the group manifold of SU(2), which is a three-dimensional space, and SU(3), which is an eight-dimensional space.
 

FAQ: QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 ?

What is QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3?

QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 is a mathematical formula used in theoretical physics to describe the interactions of the weak force and the strong force between subatomic particles.

What do the different components in QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 represent?

The first part, QED, stands for quantum electrodynamics and describes the interactions of charged particles with electromagnetic fields. The next part, WeakForce, represents the weak nuclear force that is responsible for radioactive decay. QCDU(1) stands for quantum chromodynamics and describes the interactions of quarks and gluons in the strong nuclear force. SU(2) and SU(3) are mathematical groups used to describe the symmetries of these interactions. T^1, T^2, and T^3 represent the three different types of charges in the strong force.

How is QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 related to the Standard Model of particle physics?

QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 is one of the fundamental equations used in the Standard Model, which is a theory that describes the behavior of subatomic particles and their interactions. It is also known as the theory of almost everything, as it has been extremely successful in predicting and explaining a wide range of phenomena in particle physics.

What are some real-world applications of QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3?

QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 has been used to accurately predict the behavior of particles in particle accelerators, such as the Large Hadron Collider. It also plays a crucial role in understanding and developing technology such as nuclear energy and medical imaging devices.

What are some current research topics related to QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3?

Currently, scientists are using QED:WeakForce:QCDU(1):SU(2):SU(3)T^1:T^2:T^3 to study the properties of dark matter, which is a mysterious substance that makes up about 85% of the universe's mass. Researchers are also exploring ways to unify QED with the other fundamental forces of nature, such as gravity, in a single theory that can explain all aspects of the universe.

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