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Inverse View
It is not the case that Mach's Principle requires that inertial frames be fully determined by the global distribution of matter, not merely influenced by it.
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Reasons For
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Reason for
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1.
General Relativity permits spacetime solutions (e.g., Kerr metric) with inertial structure independent of matter distribution.
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2.
Causal influence requires local field interactions; distant matter cannot instantaneously determine local inertia without mechanism.
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3.
Mach's principle is empirically untestable—no prediction distinguishes full determination from mere influence.
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Reasons Against
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Reason against
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1.
Inertia appears empirically correlated with distant matter distribution, suggesting causal dependence rather than mere coincidence.
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2.
A fully relational ontology avoids absolute space and its metaphysical baggage, making physics more parsimonious.
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3.
If inertial frames exist independently of matter, they constitute unobservable absolute structures physics should eliminate.
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