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It is not the case that 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
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Reasons For
2 perspectives
Reason for 1 of 2
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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 for 2 of 2
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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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Reasons Against
1 perspective
Reason against
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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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