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    Made withinDC&Austin
    Gravity below the surface of a uniformly dense sphere var... — Carmelics
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    Perspectives
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    Home/Causation
    HistoryEditSee Inverse

    Gravity below the surface of a uniformly dense sphere varies linearly with the distance from the center

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

    Reasons For

    1 perspective
    Reason for
    ?
    • The theory of gravity entails that gravity below the surface of a uniformly dense sphere varies linearly with the distance from the center
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Newton's derivation of linear gravity assumes perfect uniform density, a condition no actual physical body satisfies.
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    • 2.Mathematical idealization cannot be directly identified with causal claims about physical reality without independent empirical confirmation.
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    • 3.The linear relationship is thus a property of an abstract model, not a demonstrated truth about gravitational causation in nature.
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    Reason against 2 of 2
    ?
    • 1.Duhem argued that physical theories are tested as holistic systems, not as isolated propositions derivable from first principles.
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    • 2.The claim about subterranean gravity depends on auxiliary assumptions—uniform density, spherical geometry, superposition of forces—that are empirically underdetermined.
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    • 3.Confirming the linear variation would require isolating gravitational effects from these auxiliary assumptions, which has never been achieved experimentally at depth.
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    CausationTruth & Knowledge

    Connections

    1 linked claim · 1 topic

    Modality & Possibility1 linked
    Gravity varies linearly with distance below the surface in a uniformly dense sph...

    Related

    Confirming the linear variation would require isolating gravitational effects fr...Duhem argued that physical theories are tested as holistic systems, not as isola...Gravity varies linearly with distance below the surface in a uniformly dense sph...Mathematical idealization cannot be directly identified with causal claims about...
    +4 moreShow less
    Newton's derivation of linear gravity assumes perfect uniform density, a conditi...The claim about subterranean gravity depends on auxiliary assumptions—uniform de...The linear relationship is thus a property of an abstract model, not a demonstra...

    Similar

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    Source

    AI-extracted1/3 agreementValid
    SEP: newton-principia
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    He had other reasons as well. The theory of gravity entails that gravity below the surface of a uniformly dense sphere varies linearly with the distance from the center, and hence, at least to a first approximation, this is how gravity varies below the surface of the Earth. Centripetal forces that vary as 1/r3 hold if and only if the trajectory is a spiral;[31] and, given any stationary orbit governed by centripetal forces, superposition of a 1/r3 centripetal force will cause that orbit to prec
    Extraction notes

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

    Details

    The theory of gravity entails that gravity below the surface of a uniformly dens...
    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit