Editing Group Theory in Physics (section)

== <span style="color: #FFFFFF;">Remembering</span> ==
* '''Group Theory''' — The mathematical study of "Symmetry" and the "Algebraic Structures" that represent it.
* '''Symmetry''' — An action (like a "Rotation") that leaves an object looking "The Same."
* '''Lie Group''' — A "Continuous" group (e.g., you can rotate a circle by **any** tiny amount, not just 90 degrees).
* '''Unitary Group (U(1), SU(2), SU(3))''' — The "Alphabet" of the Standard Model:
** '''U(1)''' — The symmetry of Electrodynamics (The Photon).
** '''SU(2)''' — The symmetry of the Weak Nuclear Force.
** '''SU(3)''' — The symmetry of the Strong Nuclear Force (Quarks).
* '''Invariance''' — The property of a law that "Does not change" under a specific group transformation (e.g., gravity works the same in London as in Tokyo).
* '''Noether’s Theorem''' — The proof that every "Continuous Symmetry" leads to a "Conservation Law" (see Article 466).
* '''Gauge Symmetry''' — A "Local" symmetry where the laws of physics don't change even if you "Change the phase" of a particle at every point in space.
* '''Generator''' — A "Mathematical operator" that "Creates" the group (e.g., the "Angular Momentum" operator is the generator of "Rotations").
* '''Representation Theory''' — The way "Groups" (Abstract math) act on "Vectors" (Physical particles).
* '''Symmetry Breaking''' — When a system that "Should be symmetric" (like a pencil balanced on its tip) "Falls" into a non-symmetric state (like the pencil falling over).
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