= Equivalence principle does not uniquely fix field equations
Universal metric coupling and local special-relativistic nongravitational physics do not select a unique dynamical metric <action>. Additional assumptions are needed to obtain the <Einstein field equations>. A local freely falling coordinate choice can remove connection coefficients at a point but cannot remove curvature or tidal effects over a finite region. Tests of <redshift>, <free fall> and self-gravitating dynamics therefore address related but distinct claims.
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