How did symmetry guide Yang's approach to physics?
Symmetry has always been my guiding star in exploring the universe's mechanics. I believe that the fundamental laws of physics are deeply rooted in symmetries. From the conservation laws derived from continuous symmetries, as described by Noether's theorem, to the discrete symmetries that reveal deeper structures, symmetry provides a powerful principle for constructing and understanding physical theories. My work on parity violation, for instance, arose from questioning an assumed symmetry. Similarly, the Yang-Mills theory is fundamentally a gauge theory, built upon the principle of local gauge invariance. Mathematics is the language of nature, but nature speaks in many dialects, and symmetry is a recurring, unifying dialect.
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