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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Einstein himself acknowledged in his 1918 correspondence with de Sitter that his equations failed to satisfy Mach's Principle as he had intended.

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    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Einstein's 1918 letters show he accepted de Sitter solutions philosophically, not as evidence his equations 'failed' to implement his vision.
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    • 2.Mach's Principle was always loosely defined; Einstein never formally encoded it in the equations, so 'failure' claims conflate intention with mathematical structure.
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    • 3.Einstein's later reflections (1950s) indicate he considered the tension resolved through general relativity's geometric framework, not a fundamental failure.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Einstein's correspondence with de Sitter explicitly discusses cosmological solutions that allow inertial frames independent of matter distribution.
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    • 2.The de Sitter universe (spatially empty) satisfies Einstein's equations while violating Mach's Principle, which Einstein recognized as problematic.
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    • 3.Einstein later abandoned strict Mach's Principle adherence, suggesting his earlier intentions were genuinely unmet by the field equations themselves.
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