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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that The projective structure is an appropriate geometric field for defining zero 3-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 projective structure presupposes a prior affine connection to be defined, making it explanatorily circular as a ground for inertial standards.
      ?

      Think about whether this reason is strong or weak

    • 2.Weyl's own 1918 gauge program shows that projective and conformal structures together determine the affine structure, so projective structure alone underdetermines zero acceleration.
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 2
    ?
    • 1.Malament and Weatherall have shown that geodesic motion is derivable from field equations, making an independent projective standard for zero acceleration redundant.
      ?

      Think about whether this reason is strong or weak

    • 2.A geometric field that varies with 3-velocity cannot serve as a frame-independent standard, since 3-velocity is itself observer-relative in relativistic spacetimes.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.The transformation law of the projective structure has the same inhomogeneous form as the transformation law of 3-acceleration.
      ?

      Think about whether this reason is strong or weak

    • 2.The projective structure depends only on spacetime location and 3-velocity, both of which are independent of 3-acceleration, as required for a well-defined standard.
      ?

      Think about whether this reason is strong or weak

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