• Corpus ID: 204788632

A Landscape of Hamiltonian Phase Spaces: on the foundations and generalizations of one of the most powerful ideas of modern science

  title={A Landscape of Hamiltonian Phase Spaces: on the foundations and generalizations of one of the most powerful ideas of modern science},
  author={Carlos Zapata-Carratala},
  journal={arXiv: Differential Geometry},
In this thesis we revise the concept of phase space in modern physics and devise a way to explicitly incorporate physical dimension into geometric mechanics. A historical account of metrology and phase space is given to illustrate the disconnect between the theoretical physical models in use today and the formal treatment of units of measurement. Self-contained presentations of local Lie algebras, Lie algebroids, Poisson manifolds, line bundles and Jacobi manifolds are given. A unit-free… 
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