Journal ArticleDOI
Generalized Hamiltonian dynamics
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The equations of dynamics were put into a general form by Lagrange, who expressed them in terms of a set of generalized coordinates and velocities as discussed by the authors, and an alternative general form was later given by Hamilton, in the form of coordinates and momenta.Abstract:
1. Introduction. The equations of dynamics were put into a general form
by Lagrange, who expressed them in terms of a set of generalized coordinates
and velocities. An alternative general form was later given by Hamilton, in
terms of coordinates and momenta. Let us consider the relative merits of the
two forms.read more
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Nambu structures and integrable 1-forms
TL;DR: In this paper, it was shown that any integrable 1-form which vanishes at a point and has a nonzero linear part at this point is, up to multiplication by a non-vanishing function, the formal pullback of a two-dimensional 1-forms.
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A model of quantum gravity with emergent spacetime
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TL;DR: In this article, a model of quantum gravity in which dimension, topology and geometry of spacetime are dynamical is constructed, and the spacetime gauge symmetry is generalized to a group that includes diffeomorphism in arbitrary dimensions.
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Dirac and reduced quantization: A Lagrangian approach and application to coset spaces
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Strings, boundary fermions and coincident D-branes
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Gravitational Constraints on a Lightlike Boundary
TL;DR: The boundary structure of general relativity in the coframe formalism in the case of a lightlike boundary is analysed, i.e. when the restriction of the induced Lorentzian metric to the boundary is degenerate, and the associated reduced phase space is described in terms of constraints on the symplectic space of boundary fields.
References
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Journal ArticleDOI
Forms of Relativistic Dynamics
TL;DR: In this paper, the authors combine the restricted principle of relativity with the hamiltonian formulation of dynamics, which leads to the appearance of ten fundamental quantities for each dynamical system, namely the total energy, the total momentum and the 6-vector which has three components equal to the total angular momentum.
Journal ArticleDOI
Homogeneous variables in classical dynamics
TL;DR: The well-known methods of classical mechanics, based on the use of a Lagrangian or Hamiltonian function, are adequate for the treatment of nearly all dynamical systems met with in practice.