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    The metric alone determines the Levi-Civita connection un... — Carmelics
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    Challenges→Cartan's moving frames formalism shows that a choice of tetrad field encodes additional geometric structure—specifically, a preferred parallelism—absent from the metric alone.

    The metric alone determines the Levi-Civita connection uniquely; additional structure from tetrads is redundant mathematical freedom, not new geometry.

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