My Background: A senior Undergraduate Student With no Idea of Field Theory Whatsoever.
I am looking for a very general and natural answer to my question.
I noticed that Symmetry is not something nature abides by. In layman's terms, the planet revolves in an elliptical orbit and not circular orbit. And It's hard to explain this fact until you do Back calculations with equations in classical mechanics.
when I am saying the word "symmetry" I am using this word in a very general sense and not very accurate and rigorous.
What Importance Does "Breaking of Symmetry" plays in our daily observable universe? or What Importance Does "Breaking of Symmetry" play for a physicist in the context of the quest for fundamental theory? If you are a theoretical physics, this will be obvious, But not for an Undergraduate.
Is breaking of symmetry only important in field theory (Particle Physics, Higgs Field)? Or It is more general that we can find in nature? I have found that certain optimization problems or Human evolution do not obey symmetry. Otherwise, we would have eyes possible to see in 360 degrees.
Is finding "Breaking of Symmetry" as normal and as important as finding symmetry in nature? Is the breaking of symmetry as fundamental and natural as finding symmetry?
With lots many examples of breaking of symmetry (in layman terms), Why do we care about Symmetry. you are working on theory, if you find symmetry, then good the task becomes easy. if you don't then become stoic.
one can write a good essay or give a talk on symmetry in nature and its uses, similarly, can you intuitively explain the "Breaking of symmetry " How Breaking of symmetry is important in nature, evolution, and fundamental physics?
when one searches for "symmetry breaking" Google only provides you field theory and it seems that you have searched for something wrong which you shouldn't do until you are a graduate student.
I don't know Is it correct to discuss "Symmetry" and "Breaking of symmetry" on equal footing?