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    The gauge-theoretic underdetermination of tetrads by the ... — Carmelics
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    Challenges→The local tetrads are determined by the spacetime metric only up to local Lorentz transformations.

    The gauge-theoretic underdetermination of tetrads by the metric is a formal artifact, not a physical indeterminacy, since all tetrad choices yield identical observable predictions.

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    Key Terms

    Formal artifact(as used in philosophy of science and logic)
    A result that appears true because of technical or mathematical rules, but doesn't reflect anything real or meaningful in practice.
    Gauge theory(Weyl's gauge-theoretic program)
    A mathematical framework that describes how forces work by allowing certain symmetries—think of it as a set of rules that can be adjusted in different ways while keeping physics consistent.
    Metric(in mathematical analysis)
    A specific way of measuring distance or defining what 'closeness' means in a mathematical space.
    Observable predictions(as used in philosophy of science and physics)
    Specific, testable statements about what we should actually measure or see if a theory is true.
    Physical indeterminacy

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    (as used in philosophy of physics and metaphysics)
    A situation where nature itself is genuinely ambiguous or undefined—where reality truly doesn't have a single answer, not just our description of it.
    tetrad(General relativistic formulation of spinor fields)
    A local frame field — a set of four orthonormal basis vectors defined at each point of spacetime — used to connect the curved spacetime manifold to the flat tangent space in which spinors are defined.
    underdetermination(Philosophy of science; here applied (erroneously by some) to Gold's language learnability results)
    The epistemic situation in which a finite body of evidence is insufficient to uniquely determine the correct theory among competing alternatives

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    Causation1 linkedModality & Possibility1 linked

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    The local tetrads are determined by the spacetime metric only up to local Lorent...

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