Relational particle models are employed as toy models for the study of the Problem of Time in quantum geometrodynamics. These models' analogue of the thin sandwich is resolved. It is argued that the relative configuration space and shape space of these models are close analogues from various perspectives of superspace and conformal superspace respectively. The geometry of these spaces and quantization thereupon is presented. A quantity that is frozen in the scale invariant relational particle model is demonstrated to be an internal time in a certain portion of the relational particle reformulation of Newtonian mechanics. The semiclassical approach for these models is studied as an emergent time resolution for these models, as are consistent...
Within the scope of the relational model of spacetime developed by Yu. S. Vladimirov, we consider a ...
I consider the momenta and conserved quantities for CP2 interpreted as the space of quadrilaterals. ...
Relationalism – along the lines developed by Barbour and collaborators in the past 3 decades – can b...
Relational particle mechanics models (RPM’s) are useful models for the problem of time in quantum gr...
In scaled relational particle mechanics, only relative times, relative angles and relative separatio...
Most readers ’ principal interest in this article will be its reviews of the problem of time in quan...
I investigate useful shape quantities for the classical and quantum mechanics of the relational quad...
This paper concerns the absolute versus relative motion debate. The Barbour and Bertotti 1982 work m...
Relational particle mechanics is useful for modelling whole-universe issues such as quantum cosmolog...
Relational particle models (RPM’s) are toy models of many aspects of GR in geometrodynamical form. T...
I investigate qualitatively significant regions of the configuration space for the classical and qua...
In the absence of an external frame of reference-i.e., in background independent theories such as ge...
A local resolution to the Problem of Time that is Machian and was previously demonstrated for relati...
We provide a synopsis of an effective approach to the problem of time in the semiclassical regime. T...
This paper provides the quantum treatment of the relational quadrilateral. The underlying reduced co...
Within the scope of the relational model of spacetime developed by Yu. S. Vladimirov, we consider a ...
I consider the momenta and conserved quantities for CP2 interpreted as the space of quadrilaterals. ...
Relationalism – along the lines developed by Barbour and collaborators in the past 3 decades – can b...
Relational particle mechanics models (RPM’s) are useful models for the problem of time in quantum gr...
In scaled relational particle mechanics, only relative times, relative angles and relative separatio...
Most readers ’ principal interest in this article will be its reviews of the problem of time in quan...
I investigate useful shape quantities for the classical and quantum mechanics of the relational quad...
This paper concerns the absolute versus relative motion debate. The Barbour and Bertotti 1982 work m...
Relational particle mechanics is useful for modelling whole-universe issues such as quantum cosmolog...
Relational particle models (RPM’s) are toy models of many aspects of GR in geometrodynamical form. T...
I investigate qualitatively significant regions of the configuration space for the classical and qua...
In the absence of an external frame of reference-i.e., in background independent theories such as ge...
A local resolution to the Problem of Time that is Machian and was previously demonstrated for relati...
We provide a synopsis of an effective approach to the problem of time in the semiclassical regime. T...
This paper provides the quantum treatment of the relational quadrilateral. The underlying reduced co...
Within the scope of the relational model of spacetime developed by Yu. S. Vladimirov, we consider a ...
I consider the momenta and conserved quantities for CP2 interpreted as the space of quadrilaterals. ...
Relationalism – along the lines developed by Barbour and collaborators in the past 3 decades – can b...