Kendall's Shape Statistics as a Classical Realization of Barbour-type Timeless Records Theory approach to Quantum Gravity
arXiv:1307.1923
Abstract
I previously showed that Kendall's work on shape geometry is in fact also the geometrical description of Barbour's relational mechanics' reduced configuration spaces (alias shape spaces). I now describe the extent to which Kendall's subsequent statistical application to e.g. the `standing stones problem' realizes further ideas along the lines of Barbour-type timeless records theories, albeit just at the classical level.
11 pages with 5 figures. Improved text, as Accepted by SHPMP (Studies in History and Philosophy of Modern Physics) with some new explanations, minor corrections and updated references
References in corpus (9)
- Foundations of Relational Particle Dynamics
- Problem of Time and Background Independence: the Individual Facets
- Machian Time Is To Be Abstracted From What Change?
- On Background Independence
- Seminar on Records Theory
- Shape dynamics and Mach's principles: Gravity from conformal geometrodynamics
- 2+1 gravity on the conformal sphere
- Symmetry Doubling: Doubly General Relativity
- Quantum Cosmology will need to become a Numerical Subject
Cited by in corpus (12)
- The Smallest Shape Spaces. I. Shape Theory Posed, with Example of 3 Points on the Line
- The Smallest Shape Spaces. III. Triangles in 2- and 3-d
- The Smallest Shape Spaces. II. 4 Points in 1-d Suffices to have a Complex Background-Independent Theory of Inhomogeneity
- Configuration Spaces in Fundamental Physics
- -Body Problem: Minimal 's for Qualitative Nontrivialities
- Monopoles of Twelve Types in 3-Body Problems
- Shape (In)dependent Inequalities for Triangleland's Jacobi and Democratic-Linear Ellipticity Quantitities
- Problem of Time: Facets and Machian Strategy
- Where to Apply Relationalism
- Topological Shape Theory
- Background Independence: and absolute spaces differ greatly in Shape-and-Scale Theory
- We have time because we shall never know