Lindblad Quantum Dynamics as Euler-Poincaré Reduction on Adjoint-Coupled Semidirect Products
This paper provides a geometric and variational derivation of the Gorini--Kossakowski--Sudarshan--Lindblad equation by demonstrating that it arises naturally from Euler--Poincaré reduction on an adjoint-coupled semidirect product, where the dissipative double-commutator term is identified as a curvature-induced metric component generated by adjoint torsion.
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