The Principle of Symmetry: Universal?

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Is the principle of symmetry is universal?
i.e
every particle has an anti particle,similarly maxwell derive his equations by using symmetry.
 
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There is no overall "principle of symmetry." Even maxwell's equations aren't perfectly symmetrical (e.g. no magnetic monopoles). One of the biggest topics in theoretical physics asks that very question however, 'just how symmetric is the universe?' This is the subject of super symmetry (for example).

But overall, there are many instances of asymmetry in the (observable universe). Consider the baryon asymmetry as another example.