The principle of least action and diffraction

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SUMMARY

The discussion centers on Richard Feynman's principle of least action as it relates to light and diffraction. It highlights the concept that light particles, or photons, do not consciously choose paths but rather follow the path that minimizes action, leading to diffraction when obstacles are present. The conversation contrasts diffraction with refraction, emphasizing that while refraction involves light taking the quickest path through a medium, diffraction occurs when light waves spread out due to the inability to determine the least action path. The participants agree that the laws governing light behavior are predictive rather than explanatory.

PREREQUISITES
  • Understanding of Feynman's principle of least action
  • Basic knowledge of wave-particle duality in physics
  • Familiarity with concepts of diffraction and refraction
  • Knowledge of predictive modeling in scientific theories
NEXT STEPS
  • Explore the mathematical formulation of the principle of least action in classical mechanics
  • Study the phenomenon of light diffraction in various mediums
  • Investigate the differences between diffraction and refraction in optics
  • Learn about predictive modeling techniques in physics and their applications
USEFUL FOR

Physicists, optics researchers, and students interested in the behavior of light and the underlying principles of wave mechanics.

StrawberrySaturn
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When reading through one of the feynman lectures (http://www.feynmanlectures.caltech.edu/II_19.html) there was a paragraph that said:

"In the case of light we also discussed the question: How does the particle find the right path? From the differential point of view, it is easy to understand. Every moment it gets an acceleration and knows only what to do at that instant. But all your instincts on cause and effect go haywire when you say that the particle decides to take the path that is going to give the minimum action. Does it ‘smell’ the neighboring paths to find out whether or not they have more action? In the case of light, when we put blocks in the way so that the photons could not test all the paths, we found that they couldn’t figure out which way to go, and we had the phenomenon of diffraction."

My question is how exactly diffraction result from light not knowing which is the path of least action. Is he saying that the light waves spread out and take every path? I thought that refraction would be more relevant to his example, when light hits a glass block it travels through it at an angle that results in the quickest travel time.
 
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Too anthropomorphic, I think. Light behaves a certain way 'as if it knew' what to do. It has no motives or plans. We have invented laws and equations that predict (not explain) what it does.
There are often alternative explanations for phenomena and people argue and worry to death about which one 'is correct' when what really counts is the 'accuracy' of each model.
 

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