Anandan and Aharonov (1990) showed that geometric phase effects require a distinction between the space of states and the space of observables, a distinction Weyl's classical geometric account of clocks systematically ignores.

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Anandan and Aharonov(as referenced researchers in quantum physics): Two physicists who discovered a surprising quantum mechanics phenomenon showing that the path a particle takes through space affects its physical properties, even when the particle ends up in the same state.
Geometric account(as referring to Weyl's method of understanding clocks and measurement): An explanation of how something works based on shape, space, and mathematical geometry rather than other approaches.
Geometric phase(as the main discovery being discussed): A shift in a quantum particle's properties that depends on the shape of the path it travels, rather than just where it starts and ends.
Space of observables(as contrasted with space of states): In quantum mechanics, the collection of all the different properties or measurements you can actually make on a particle or system.

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