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On Symmetry and Conserved Quantities in Classical Mechanics
classical mechanics symmetry conserved quantities
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2008/4/22
This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics. T...
On Symplectic Reduction in Classical Mechanics
Hamiltonian mechanics symmetry reduction
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2008/4/22
This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symmetries and conserved...
Relationism Rehabilitated? I: Classical Mechanics
Machianism relationism space spacetime
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2008/4/22
The implications for the substantivalist--relationist controversy of Barbour and Bertotti's successful implementation of a Machian approach to dynamics are investigated. It is argued that in the conte...