Weyl's own geometry conflates gauge freedom with physical reality, since the electromagnetic field in his theory is a geometric artifact, not an independently measured physical quantity.

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Gauge freedom(as the mathematical flexibility that can be removed): The ability to describe the same physical situation in multiple different ways without changing what's actually happening; like choosing different coordinate systems to measure the same thing.
Geometric artifact(in the philosophy of physics): Something that exists only as a mathematical description of space rather than as a thing we can independently measure or detect with instruments.
Independently measured physical quantity(in physics and philosophy of science): Something in the real world that we can measure directly with tools or experiments, separate from just describing how space is shaped.
Weyl(as a historical reference in physics): Hermann Weyl (1885-1955) was a German mathematician and physicist who identified a mathematical problem about how to connect measurements made in different reference frames in a consistent way.
electromagnetic field(physics): The invisible force field responsible for electricity and magnetism; it determines how charged particles like electrons push and pull on each other.
geometry(Abstract view following the acceptance of non-Euclidean and Riemannian geometries): Whatever can be described within the Riemannian formalism; an abstract structure defined by a consistent metric, not necessarily tied to physical or Euclidean space.

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