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Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information

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arxiv quant-ph/9909065 v1 pith:6FAYXF3Y submitted 1999-09-21 quant-ph

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keywords fisherinformationhydrodynamicalkahlermechanicsquantumstructureapproach
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The Schrodinger equation can be derived using the minimum Fisher information principle. I discuss why such an approach should work, and also show that the Kahler and Hilbert space structures of quantum mechanics result from combining the symplectic structure of the hydrodynamical model with the Fisher information metric.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Time-Symmetric Variational Reformulation of Nonrelativistic Quantum Mechanics

    quant-ph 2025-12 reject novelty 4.0 of 10

    A Fisher-information action can reproduce the Schrödinger equation, but the claimed derivation of the Born rule without collapse assumes the probability interpretation it purports to derive.

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