Do perfect squares exist in physics?

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SUMMARY

Perfect squares and right angles do exist in physics, particularly in the context of electromagnetic fields and crystal structures. The relationship between electric and magnetic fields in light waves exemplifies right angles in nature, as does the Lorentz force acting on charged particles. Crystals, such as sodium chloride (NaCl), exhibit cubic symmetry, demonstrating geometric perfection in natural forms. The discussion highlights the philosophical debate surrounding the nature of mathematics and its relationship to the physical world.

PREREQUISITES
  • Understanding of electromagnetic waves and their properties
  • Familiarity with the Lorentz force and its implications
  • Knowledge of crystal structures, particularly cubic systems
  • Basic concepts of geometry and mathematical modeling in nature
NEXT STEPS
  • Research "electromagnetic wave" and "Lorentz force" for visual representations
  • Explore "cubic crystal systems" to understand geometric perfection in nature
  • Investigate "emergent properties" in natural patterns and their significance
  • Examine the philosophical implications of mathematics in physics
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This discussion is beneficial for physicists, visual artists exploring geometric concepts, students of mathematics and physics, and anyone interested in the intersection of geometry and natural phenomena.

mare veen
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Hello, I am a visual artist and currently working on a project about ‘being’. Under the assumption that ‘being’ or ‘to be’ is never square I was wondering if in physics (or astronomy/cosmology/biology etc) perfect squares or 90degrees corners exist. Isn't a square and perfect 90degrees corner only made up by mankind or is it also present in physics?
Anyone out there who can help me? Thank you!
 
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fresh_42 said:
Here's another one: https://en.wikipedia.org/wiki/Halite

And do the mathematical models which involve squared distances count?
Thank you! I’m mainly in search of visual/imaging proof.
 
Geometry and mathematics in general are used to model nature. Whether mathematics itself is natural or invented is an often debated question that probably has no definite answer. You could, in fact, have a similar debate about whether physics is discovered or invented. But that's more the philosophy of science than science itself.

One example of a right angle in nature is the relationship between the electric and magnetic fields in a light wave. Theoretically, at least, they are at right angles to each other.

Also, the magnetic force on a charged particle is at right angles to its velocity.
 
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PeroK said:
Geometry and mathematics in general are used to model nature. Whether mathematics itself is natural or invented is an often debated question that probably has no definite answer. You could, in fact, have a similar debate about whether physics is discovered or invented. But that's more the philosophy of science than science itself.

One example of a right angle in nature is the relationship between the electric and magnetic fields in a light wave. Theoretically, at least, they are at right angles to each other.

Also, the magnetic force on a charged particle is at right angles to its velocity.

Thank you so much PeroK. Do you have an image or wikipedia site that hows this? Sorry, a bit new to the subject.
 
mare veen said:
Thank you so much PeroK. Do you have an image or wikipedia site that hows this? Sorry, a bit new to the subject.
If you google for "electromagnetic wave" and "lorentz force" and see what images come up.
 
PeroK said:
If you google for "electromagnetic wave" and "lorentz force" and see what images come up.
Thanks!
 
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The regular geometric patterns such as circles, lines and hexagons that emerge in nature are termed "emergent properties". https://en.wikipedia.org/wiki/Emergence

Crystal structure is probably the best example which explains why they are given mystical properties by the new age. https://en.wikipedia.org/wiki/Crystal_structure
Most people use common salt, (NaCl), every day, but they do not realize the cubic perfection.
https://en.wikipedia.org/wiki/Sodium_chloride
https://en.wikipedia.org/wiki/Crystal_structure#Prediction_of_structure

There are also some macro properties where right angles can be seen. For example, if you suspend a weight on a long thread or hair, the thread will form a right angle with the horizon. Gravity works to produce two situations that are orthogonal, one hanging vertical on a thread, the other being the horizontal surface of a liquid.
 

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