The tetrad formalism introduces local Lorentz freedom as a gauge symmetry, but Rosenfeld's 1930 analysis showed such internal symmetries generate constraints, not independent conservation laws.

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Conservation laws(as used in physics and applied to symmetries): Physical rules stating that certain quantities (like energy or momentum) cannot be created or destroyed, only transferred between objects.
Gauge symmetry(as used in physics): A property where a physical system remains unchanged even when you perform certain mathematical transformations on how you describe it. It's a deep symmetry built into how nature works.
Internal symmetries(as used in particle and theoretical physics): Symmetries that describe how the internal properties of a system can change without affecting what we observe physically.
Local Lorentz freedom(as used in relativistic physics): The ability to rotate your reference frame in a specific way (Lorentz transformation) at each individual point in spacetime, without changing the physics.

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