Overview

Symmetries and group theory are a universal language of modern physics. They are not limited to a simple mathematical description of phenomena, but provide a coherent conceptual framework for identifying invariances, unifying fundamental interactions and revealing the hidden structures of the Universe. Thanks to group theory, physical laws can be formulated independently of the choice of coordinates or frame of reference, lending the objectivity and generality essential to any physical theory. Furthermore, these tools provide a mathematical rigor that not only allows us to classify particles and quantum states, but also to predict new phenomena based on symmetry properties. Thus, the study of symmetries appears to be an essential step towards an in-depth understanding of the fundamental laws of nature and the development of theoretical models capable of accurately describing physical reality on all scales.

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