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    Einstein's attempt to incorporate Mach's Principle (versi... — Carmelics
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    Einstein's attempt to incorporate Mach's Principle (version 2) into general relativity and relativistic cosmology is misguided

    Causation
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    2 reasons for
    1 reason against

    Reasons For

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    Reason for 1 of 2
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    • 1.General relativity admits vacuum solutions (e.g., Minkowski spacetime) where inertial structure exists without any matter distribution.
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    • 2.Mach's Principle version 2 requires inertial frames to be fully determined by the global matter distribution.
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    • 3.A principle that is falsified by the theory's own solutions cannot be coherently incorporated into that theory as a foundational constraint.
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    Reason for 2 of 2
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    • 1.Einstein's field equations permit de Sitter spacetime, a matter-free solution with well-defined inertial properties, which Weyl and others recognized as a decisive counterexample.
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    • 2.If inertia can be defined in the complete absence of matter, then the causal-explanatory role Mach's Principle assigns to matter distribution is rendered otiose within general relativity's formalism.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Mach's Principle version 2 is grounded in the Leibnizian-Machian relational conception of motion
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    • 2.The Leibnizian-Machian relational conception of motion is incoherent within the context of general relativity
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    • 3.A principle that relies on an incoherent conception should not be incorporated into a physical theory
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    Related

    A principle that is falsified by the theory's own solutions cannot be coherently...A principle that relies on an incoherent conception should not be incorporated i...Einstein's field equations permit de Sitter spacetime, a matter-free solution wi...General relativity admits vacuum solutions (e.g., Minkowski spacetime) where ine...
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    If inertia can be defined in the complete absence of matter, then the causal-exp...Mach's Principle version 2 is grounded in the Leibnizian-Machian relational conc...Mach's Principle version 2 requires inertial frames to be fully determined by th...The Leibnizian-Machian relational conception of motion is incoherent within gene...

    Similar

    Einstein failed to successfully incorporate Mach's Principle into his ...83%The Helmholtz-Lie framework is incompatible with the causal and metric...78%The general theory of relativity does not permit the generalization an...77%There is no room in the general theory of relativity for the generaliz...76%

    Source

    AI-extracted1/3 agreementValid
    SEP: weyl
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    Weyl was very critical of Einstein’s attempt to incorporate version (2) of Mach’s Principle into the theory of general relativity and relativistic cosmology because he considered the Leibnizian-Machian relational conception of motion—according to which all motion is to be interpreted as the motion of some bodies in relation to other bodies—to be an incoherent notion within the context of the general theory of relativity.
    Extraction notes

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

    Details

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