Relational Particle Mechanics

          @misc{ pirsa_PIRSA:07120035,
            doi = {10.48660/07120035},
            url = {https://pirsa.org/07120035},
            author = {Anderson, Edward},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Relational Particle Mechanics},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {dec},
            note = {PIRSA:07120035 see, \url{https://pirsa.org}}
          }
          

Abstract

Relational particle mechanics are theories of relative angles and relative (ratios of) separations only. These bear a number of resemblances to the geometrodynamical formulation of general relativity and as such are useful analogues for at least some approaches to the notorious problem of time in quantum gravity. I have recently provided a fairly complete study of the configuration spaces of these theories in spatial dimension 1 and 2, am subsequently studying the redused forms of these theories at the quantum level, and this shall provide a number of useful examples for the conceptual discussion of various problem of time strategies