Understanding Particle Interactions with Scalar and Vector Fields

In summary, the ongoing argument is about the difference between a particle interacting with a vector field and a scalar field. The main point of contention is that a particle can only move when interacting with a vector field, as it provides directional information, while a scalar field does not. The Newtonian gravitational field is brought up as an example, where the scalar field phi is symmetric with respect to any direction, but particles still experience a force from the gradient of the field. This could potentially explain the concept of inertial mass.
  • #1
webb202
12
2
Can anyone help with an ongoing argument we are having. When a particle interacts with a vector field e.g. the electric field, it experiences a force trying to move it which depends on the particle charge and the local field condition, - but when it interacts with a scalar field e.g. the Higs field, it just gets a return value ,- no movement - the contention is that whilst it is interacting with the scalar field it cannot move, movement is only allowed with vector fields. This could be the start of an explanation for inertial mass!
 
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  • #2
Interesting question. My first guess would be that a scalar field would not have directional information and is symmetric with respect to any direction (including changes in the direction of motion). But a vector field does have directional information. So any interaction with a vector field would change a particles direction.
 
  • #3
How about the good old Newtonian gravitational field? The field phi is a scalar under Galileitransformations (not under accelerations, but that's no problem), and its gradient gives the force experienced by particles.
 
  • #4
The field Phi is an analytical construct, particles experience only the vector at a given moment, only by moving do they experience the gradient
 

Related to Understanding Particle Interactions with Scalar and Vector Fields

1. What is the difference between a scalar field and a vector field?

A scalar field is a physical quantity that has magnitude (size) but no direction. Examples include temperature and pressure. On the other hand, a vector field is a physical quantity that has both magnitude and direction. Examples include force and velocity.

2. How do particles interact with scalar and vector fields?

Particles interact with scalar fields by experiencing a force proportional to the gradient of the scalar field. This means that the direction of the force will always point towards areas of higher magnitude of the scalar field. On the other hand, particles interact with vector fields by experiencing a force in the same direction as the vector field at their location.

3. What is the role of symmetry in understanding particle interactions with scalar and vector fields?

Symmetry plays a crucial role in understanding particle interactions with scalar and vector fields. For example, the symmetry of a system can determine the form of the scalar field that particles interact with. Additionally, the symmetry of a particle can dictate how it interacts with a vector field.

4. How do particle interactions with scalar and vector fields contribute to our understanding of fundamental forces?

Particle interactions with scalar and vector fields are essential for understanding the four fundamental forces of nature: gravitational, electromagnetic, strong nuclear, and weak nuclear forces. These interactions help us explain how particles interact with each other and their surroundings.

5. What are some practical applications of understanding particle interactions with scalar and vector fields?

Understanding particle interactions with scalar and vector fields has numerous practical applications in fields such as engineering, physics, and chemistry. For example, this knowledge is crucial for designing and optimizing technologies such as magnets, electric motors, and particle accelerators.

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