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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    321,452
    Perspectives
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    42
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that The differential topological structure of spacetime does not provide sufficient structure to determine a standard of zero 4-acceleration.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.The conformal structure of spacetime, recoverable from differential topology plus causal relations, constrains the class of admissible connections.
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      Think about whether this reason is strong or weak

    • 2.Weyl's own gauge-theoretic program demonstrates that adding only length-transfer structure to conformal geometry suffices to single out inertial trajectories.
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      Think about whether this reason is strong or weak

    • 3.If physical coincidences and causal structure jointly fix the conformal factor, then zero 4-acceleration is determined up to the projective structure, not left wholly undetermined.
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      Think about whether this reason is strong or weak

    Reason for 2 of 2
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    • 1.Ehlers, Pirani, and Schild (1972) proved that free-fall trajectories of light and matter operationally determine both the conformal and projective structures of spacetime.
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      Think about whether this reason is strong or weak

    • 2.The projective structure of spacetime is precisely the structure that distinguishes geodesic (zero 4-acceleration) from non-geodesic worldlines.
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      Think about whether this reason is strong or weak

    • 3.If EPS constructive axiomatics recovers projective structure from observable coincidences alone, the claim that differential topology is insufficient understates what topology plus causal observables jointly determine.
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      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.The differential topological structure of spacetime provides sufficient structure to do calculus and to derive transformation laws for 4-velocities and 4-accelerations by simple differentiation.
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      Think about whether this reason is strong or weak

    • 2.There does not exist a unique standard of zero 4-acceleration that is intrinsic to the differential topological structure of spacetime.
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      Think about whether this reason is strong or weak

    • 3.Even the difference of the 4-accelerations of two bodies at the same spacetime point has no absolute meaning unless their 4-velocities happen to be the same.
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      Think about whether this reason is strong or weak

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    Strongest counterpoint
    Explore the most compelling reason on the other side.