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Using the equivalence principle, this tensor is readily generalized to curved space-time.
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A stable distributed parameter estimator is derived, in the Lyapunov sense, and combined with the NMPC algorithm using the certainty equivalence principle.
For the case where the delays are of unknown length, using the certainty equivalence principle, we design a Lyapunov-based adaptive controller, which achieves global stability and regulation, for arbitrary initial estimates for the delays.
It is shown, using the impact equivalence principle, that these controls separately designed but implemented together always ensure either local or global consensus and that a global non-trivial consensus emerges if and only if the information network has at least one globally reachable node or is varying but cumulatively connected.
Schlamminger, S., Choi, K.-Y., Wagner, T., Gundlach, J. & Adelberger, E. Test of the equivalence principle using a rotating torsion balance.
Murphy is not the first to use lunar laser ranging to test the equivalence principle.
Yagi, Yunes and Frans Pretorius used the first gravitational wave event to reveal how well one can probe fundamental aspects of General Relativity, including the equivalence principle and Lorentz invariance.
Quantum theory and the equivalence principle.
Modified gravity theories violate the equivalence principle.
Lämmerzahl, C. On the equivalence principle in quantum theory.
Ref: arxiv.org/abs/0908.3885: Do Quantum Systems Break The Equivalence Principle?
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