Drive a complex field, get something like torsion?

In summary, the conversation discusses the effects of forcing a massive or massless complex field on the surface of a small sphere using a given function. The result is expected to be a circularly polarized wave traveling outward radially. The possibility of torsion being associated with this wave is raised, with a request for more specific information on the type and location of torsion.
  • #1
Spinnor
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Suppose we have either a massive or massless complex field in 3 space and one time dimensions. Suppose we force (or drive) the field on the surface of a small sphere with a function like,

exp(-t^2)*exp(-iωt)

I'm guessing the result of such forcing will be a circularly polarized wave that travels in the outward radial direction. Can torsion be somehow associated with such a wave?

Edit, let ω = 10 or more, yeilds a nice graph,

http://www.wolframalpha.com/input/?i=exp%28it*10%29exp%28-t^2%29Thanks for any help!
 
Last edited:
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  • #2
What kind of a torsion? Where? Please, be more specific.
 

1. What is torsion and how does it relate to complex fields?

Torsion is a measure of how much an object twists when a torque or twisting force is applied to it. In the field of mechanics, torsion is used to describe the deformation of solid objects when they are subjected to twisting forces. In the context of complex fields, torsion is often used to analyze the behavior of materials under different types of loads.

2. Can torsion be controlled or manipulated in complex fields?

Yes, torsion can be controlled and manipulated in complex fields through the use of various materials and design techniques. For example, by altering the shape or composition of a material, engineers can influence its torsional properties and create structures that are more resistant to twisting forces.

3. What are some real-world applications of torsion in complex fields?

Torsion is used in many real-world applications, such as in the design of bridges, buildings, and other structures to ensure their stability and resistance to external forces. It is also commonly used in the design of mechanical components, such as gears and shafts, to ensure their proper functioning and durability.

4. How does torsion impact the behavior of materials in complex fields?

Torsion can have a significant impact on the behavior of materials in complex fields. It can affect their strength, stiffness, and overall mechanical properties, making them more or less suitable for specific applications. For instance, materials with high torsional strength are better suited for structures that are subjected to twisting forces, while materials with low torsional strength may be more suitable for applications where flexibility is required.

5. Are there any limitations or challenges associated with studying torsion in complex fields?

Studying torsion in complex fields can be challenging due to the highly nonlinear and multi-axial nature of torsional loading. This can make it difficult to accurately predict the behavior of materials and structures under torsional forces. Additionally, the complexity of the interactions between different materials and loading conditions can also pose challenges in accurately modeling and analyzing torsion in complex fields.

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