Infinite Objects: Seeking the Physics Behind the Math

In summary, the physical meaning of not being able to choose the reference point at infinity for calculating the electric field of an infinite object is due to the unphysical nature of infinite objects. This means that there is no limit to the potential energy of a particle in the field of an infinite charged plate, making the concept of potential energy at infinity undefined.
  • #1
cemtu
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Homework Statement
What is the physical meaning of not being able to choose the referance point at the infinity for calculating the E field of an infinite object(or shape)?
Relevant Equations
No equations are needed, only a clear and simple verbal explanation which explains the phenomenon is needed.
I know how the math does not allow us to chose the reference point at infinity for infinite objects but I need to understand the underlying physics reason, not math reason.
 
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  • #2
cemtu said:
Homework Statement:: What is the physical meaning of not being able to choose the referance point at the infinity for calculating the E field of an infinite object(or shape)?
Homework Equations:: No equations are needed, only a clear and simple verbal explanation which explains the phenomenon is needed.

I know how the math does not allow us to chose the reference point at infinity for infinite objects but I need to understand the underlying physics reason, not math reason.

Infinite objects are fundamentally unphysical. You cannot have an infinite charged plate; only a relatively large one.

The potential energy of a particle in the field of a uniformly charged infinite plate may be infinite. If the plate and particle are like charged, then there is no limit to the kinetic energy gained by the particle as it is repelled with constant force indefinitely. And, if the particle and plate are oppositely charged, then there is no limit to the kinetic energy that the particle may have if it starts from far away. The potential energy "at infinity" would, therefore, be infinite. Which is to say undefined.
 
  • #3
thank you but I did not understand your explanation.
 

1. What are infinite objects in physics?

Infinite objects in physics are mathematical concepts that describe a system or phenomenon that has infinitely many components or properties. These objects are used to model and understand various physical phenomena, such as the behavior of particles in quantum mechanics or the structure of the universe.

2. How are infinite objects used in physics?

Infinite objects are used in physics as a tool to help scientists make predictions and explanations about the natural world. By using mathematical models that involve infinite objects, scientists can better understand complex systems and phenomena that would be difficult to study otherwise.

3. What are some examples of infinite objects in physics?

Some common examples of infinite objects in physics include infinite series, infinite-dimensional vector spaces, and infinite sets. These objects are used in a variety of areas of physics, such as thermodynamics, quantum mechanics, and cosmology.

4. What challenges do infinite objects present in physics?

One of the main challenges of using infinite objects in physics is their abstract nature. Since these objects exist only in mathematical models, it can be difficult to relate them to real-world phenomena and make accurate predictions. Additionally, the concept of infinity can be difficult to grasp and can lead to paradoxes and contradictions.

5. How do scientists approach studying infinite objects in physics?

Scientists use a combination of mathematical tools, such as calculus and set theory, to study and understand infinite objects in physics. They also use experimental and observational data to test their mathematical models and make sure they accurately describe physical phenomena. Collaboration and peer review also play a crucial role in advancing our understanding of infinite objects in physics.

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