Spinor in 1+3 spacetime-flag+pole+entanglement rel.,in 1+1?

[Spinnor]

In 1+3 dimensional space time a spinor can be thought of as a flagpole+flag+entanglement relationship. Is there some similar construction in 1+1 dimensional space time?

Thanks for any help!

 

[eljose79]

Hello there,

Thank you for your interesting question. In 1+3 dimensional space-time, a spinor can indeed be thought of as a flagpole+flag+entanglement relationship. This is because a spinor is a mathematical object that describes the intrinsic angular momentum of a particle, and its behavior can be visualized as a flag waving on a flagpole due to its spin.

In 1+1 dimensional space-time, the concept of a spinor still exists, but it is slightly different. In this case, a spinor can be thought of as a flag+entanglement relationship, without the flagpole. This is because in 1+1 dimensions, there is only one spatial dimension, so the flagpole does not have a direction to wave in. Instead, the flag itself represents the spin of the particle, and the entanglement refers to the relationship between the spinor and other particles in the system.

Furthermore, in 1+1 dimensions, spinors are described using a different mathematical formalism, such as the Majorana spinor or the Weyl spinor. These spinors have different properties compared to those in higher dimensions, but they still play a crucial role in describing the behavior of particles in 1+1 dimensional space-time.

In summary, while the concept of a spinor in 1+1 dimensional space-time is similar to that in higher dimensions, the visual representation of it as a flagpole+flag+entanglement relationship is slightly different due to the reduced number of spatial dimensions. I hope this helps clarify your question. Let me know if you have any further queries.