Kendall׳s shape statistics as a classical realization of Barbour-type timeless records theory approach to quantum gravity

•Kendall׳s shape geometry is Barbour׳s mechanics׳ reduced configuration space.•Kendall׳s shape statistics is a classical timeless records theory.•Records theory is a strategy for the Problem of Time.

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.