Showing that the inverse sqaure law is true.

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In summary, the conversation discusses the concept of the inverse square law in physics and whether it can be proven theoretically without empirical evidence. The conclusion is that laws in physics are ultimately considered true based on empirical observations and consensus among knowledgeable individuals. The use of quantum electrodynamics as a potential method of proof is also mentioned.
  • #1
misogynisticfeminist
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Is there a theoretical way to show that the inverse square law is true for say, just electric fields alone, without referring to any empirical observation?
 
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  • #2
The short answer is "no." One can come up with various arguments based on geometry and other concepts that make inverse square seem plausible but they are meaningless without the data. Moreover, we know inverse square is wrong anyway particularly when dealing with very massive objects and cosmological scales.
 
  • #3
Laws in physics are true (or valid) because we see (or hear or smell or register in some other manner) that they hold in reality.

There doesn't really exist any other criterion for the (ultimate) truth of a postulated law.
 
  • #4
Laws in physics are true when there is consensus amongst the knowledgeable members of PF that they are true :biggrin: :tongue: :approve:
 
  • #5
Wait a second; you can't show this based on quantum electrodynaimcs?
 

1. What is the inverse square law?

The inverse square law is a physical principle that states that the intensity of a physical quantity, such as light or gravitational force, decreases in proportion to the square of the distance from the source.

2. How can the inverse square law be applied to different physical phenomena?

The inverse square law can be applied to a wide range of physical phenomena, including light propagation, sound intensity, magnetic force, and electric force.

3. What evidence supports the inverse square law?

There is substantial evidence supporting the inverse square law, including numerous experiments and observations conducted by scientists over centuries. For example, when measuring the brightness of a light source at different distances, the intensity follows a predictable pattern that aligns with the inverse square law.

4. How is the inverse square law derived mathematically?

The inverse square law can be derived mathematically using the concept of flux, which is the amount of a physical quantity passing through a given area. By considering the geometry of a sphere, the flux can be shown to decrease in proportion to the square of the distance from the source.

5. Are there any exceptions to the inverse square law?

While the inverse square law applies to many physical phenomena, there are some exceptions. For example, in certain situations, other factors may come into play that affect the intensity of a physical quantity, such as the presence of obstacles or the behavior of particles on a small scale. These exceptions are often accounted for with more complex mathematical models.

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