Invalidity of Dirac's Conjecture for a System with A Singular Any Higher-order Lagrangian
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Graphical Abstract
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Abstract
Based on the canonical Noether's theorem and Poincaré-Cartan integral invariant for a system with a singular higher-order Lagrangian, the counterexample with N-order derivative is given to show that dirac's conjecture fails. There is no linearization of constraints in our formulation.
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