Why do we use infinity in Physics?

In summary, "infinity" is often used in Physics to simplify problems and omit complicated parameters. For example, in optics, it represents perfectly parallel light rays. Other terms like "some place far away" or "after a very long time" may be more accurate but can also be misleading. In mathematics, "infinity" is used to describe an exponential equation approaching the X axis and getting closer to Y=0. Overall, it is a shorthand term to simplify equations and discussions.
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When we talk about a particular problem in Physics. For instance, let's say that light is coming from somewhere to hit the earth. We often say that the light is coming from "infinity." Let's say that we're tackling a black hole and we have a person somewhere as an example and we say that let's say that the person is at "infinity."

My question: why "infinity"? Can't we say that it's at a distance `x` that we don't know, or some place far away? Why "infinity"?
 
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  • #2
It would be more accurate to say "in the limit approached as the distance becomes arbitrarily large", but that's a mouthful. Especially in informal discussions, it's easier to say "infinity" and move on.
 
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  • #3
you can say that it's at a distance `x` that we don't know. but for a lot of problems you want to omit parameters that make the solution complicated, for example if you want to find the electric field of a charged iron chair, it's may be very difficult... but if you say that you are in the "infinity" you can omit the changes in the surface of the chair and treat it like a single point charge.

"some place far away" - it's more accurate than "`x` that we don't know" but misleading... some times "some place far away" is only 1 micro-meter away. "after a very long time" can be just a second and so on

"infinity" it's just terminology for "you can omit the annoying stuffs from your equation" ;)
 
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EnEE said:
you can say that it's at a distance `x` that we don't know. but for a lot of problems you want to omit parameters that make the solution complicated, for example if you want to find the electric field of a charged iron chair, it's may be very difficult... but if you say that you are in the "infinity" you can omit the changes in the surface of the chair and treat it like a single point charge.

"some place far away" - it's more accurate than "`x` that we don't know" but misleading... some times "some place far away" is only 1 micro-meter away. "after a very long time" can be just a second and so on

"infinity" it's just terminology for "you can omit the annoying stuffs from your equation" ;)
Perfect! :D

Thank you.
 
  • #5
In optics, light coming from infinity is shorthand for the assumption that the light rays are perfectly parallel. For any x less than infinity, the rays radiate out at an angle relative to each other.

Infinity sounds far fetched, but parallel seems simple and ordinary.
 
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  • #6
In mathematics we talk about an exponential equation tending to infinity as it slides right on the X axis. getting closer to y=0 and North on the Y axis as it tend to X=0. As we do not offer a finite figure we use the term tending to infinity.
 

FAQ: Why do we use infinity in Physics?

Why do we use infinity in Physics?

Infinity is used in Physics to represent a concept or value that is unbounded or limitless. It allows us to describe and understand phenomena that are infinite in nature, such as the size of the universe or the concept of time.

What is the role of infinity in mathematical equations in Physics?

Infinity is often used in mathematical equations in Physics to represent a boundary or a limit. For example, in calculus, infinity is used to describe the behavior of a function as it approaches a limit. It also helps in simplifying complex equations and allows us to make predictions about the behavior of physical systems.

How does infinity relate to the concept of spacetime in Physics?

Infinity is closely related to the concept of spacetime in Physics. The theory of relativity suggests that spacetime is infinite, meaning that it has no boundaries. This concept helps in understanding the expansion of the universe and the effects of gravity on the fabric of spacetime.

Can infinity be physically measured or observed?

No, infinity cannot be physically measured or observed. It is a mathematical concept that is used to represent something that is boundless and cannot be accurately quantified. However, we can make predictions and calculations using infinity to understand and explain physical phenomena.

Are there any limitations to using infinity in Physics?

While infinity is a useful concept in Physics, it does have its limitations. It is often used as an approximation and may not always accurately describe reality. In addition, some theories, such as string theory, suggest that there may be a finite limit to the size of the universe, which challenges the concept of infinity in Physics.

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