Hydrodynamic covariant symplectic structure from bilinear Hamiltonian functions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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9 pages, no figure. to appear in Progress in Physics

Scientific paper

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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