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On the Structure of Classical Mechanics
classical mechanics structure Lagrangian mechanics Hamiltonian mechanics statespace
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2016/6/12
Jill North (North, 2009) has recently argued that Hamiltonian mechanics ascribes less structure to the world than Lagrangian mechanics does. I will argue that North's argument is not sound. In doing s...
Classical Mechanics Is Lagrangian; It Is Not Hamiltonian; The Semantics of Physical Theory Is Not Semantical
classical mechanics Lagrangian mechanics Hamiltonian mechanics
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2009/11/18
One can (for the most part) formulate a model of a classical system
in either the Lagrangian or the Hamiltonian framework. Though it is
often thought that those two formulations are equivalent in al...
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...