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Hydrodynamic covariant symplectic structure from bilinear Hamiltonian functions

S. Capozziello·S. De Martino·S. I. Tzenov
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Abstract

Starting from generic bilinear Hamiltonians, constructed by covariant vector, bivector or tensor fields, it is possible to derive a general symplectic structure which leads to holonomic and anholonomic formulations of Hamilton equations of motion directly related to a hydrodynamic picture. This feature is gauge free and it seems a deep link common to all interactions, electromagnetism and gravity included. This scheme could lead toward a full canonical quantization.

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S. Capozziello, S. De Martino, S. I. Tzenov. 2005-07-20. Hydrodynamic covariant symplectic structure from bilinear Hamiltonian functions. https://arxiv.org/abs/gr-qc/0507087

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