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    It would be impossible to realign the earth and the fixed... — Carmelics
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Modality & Possibility
    HistoryEditSee Inverse

    It would be impossible to realign the earth and the fixed stars such that both are at rest with the coordinate system of the plasticine

    CausationModality & Possibility
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.The conformal metrical field determines at each point the cones of light propagation
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    • 2.The microsymmetry group of the conformal structure permits only 7 degrees of freedom (6 Lorentz transformations and a dilatation) plus four more in second order
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    • 3.The existence of the conformal metrical field prevents an arbitrary realignment of light-like fibers
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Mach's principle holds that inertial frames are determined relationally by the global mass distribution, not by an independently existing metrical field.
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    • 2.If inertial structure is fully constituted by matter relations, a coherent redescription exists in which redistributed masses define new rest conditions without invoking a fixed conformal structure.
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    • 3.Weyl's appeal to the conformal field as a constraint presupposes the very absolute-vs-relational distinction that Machian relationism contests.
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    Reason against 2 of 2
    ?
    • 1.Kretschmann's point establishes that any physical law can be reformulated in a generally covariant form, making coordinate-invariant impossibility claims suspect.
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    • 2.The 'impossibility' of realignment may reflect a limitation of a particular representational framework rather than a genuine modal constraint on physical configurations.
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    Modality & PossibilityCausation

    Related

    If inertial structure is fully constituted by matter relations, a coherent redes...Kretschmann's point establishes that any physical law can be reformulated in a g...Mach's principle holds that inertial frames are determined relationally by the g...The 'impossibility' of realignment may reflect a limitation of a particular repr...
    +4 moreShow less
    The conformal metrical field determines at each point the cones of light propaga...The existence of the conformal metrical field prevents an arbitrary realignment ...The microsymmetry group of the conformal structure permits only 7 degrees of fre...Weyl's appeal to the conformal field as a constraint presupposes the very absolu...

    Similar

    Under Einstein's general theory of relativity, the coordinate system h...65%Choosing an observable O that selects Sx2, Sy2, Sz2 at the same time f...65%The presence of a projective structure on spacetime prevents arbitrary...64%The fixed stars constitute a real, observable mass distribution in the...64%

    Source

    AI-extracted1/3 agreementValid
    SEP: weyl
    View source passageHide passage
    Other post-differential topological geometrical field structures are similarly restrictive. For example, the microsymmetry group of the conformal structure, which determines the causal structure of spacetime, permits 7 degrees of freedom (6 Lorentz transformations and a dilatation), and permits four more degrees of freedom in second order. Consequently, the existence of the conformal metrical field which determines at each point the cones of light propagation would prevent an arbitrary re
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit