Machian Time Is To Be Abstracted From What Change?
arXiv:1209.1266
Abstract
"It is utterly beyond our power to measure the changes of things by time. Quite the contrary, time is an abstraction at which we arrive through the changes of things." Ernst Mach [1]. What change? Three answers to this are `any change' (Rovelli), 'all change' (Barbour) and my argument here for the middle ground of a `sufficient totality of locally relevant change' (STLRC) giving a generalization of the astronomers' ephemeris time. I then use STLRC as a selection principle on existing and new approaches to the Problem of Time in Quantum Gravity. Emergent Jacobi-Barbour-Bertotti time can be interpreted as arising from a STLRC, resolves the classical Problem of Time and has an emergent semiclassical counterpart as regards facing the QM Problem of Time.
Presentation of the argumentation improved. 9 pages
References in corpus (6)
- Constraints and gauge transformations: Dirac's theorem is not always valid
- Foundations of Relational Particle Dynamics
- New interpretation of variational principles for gauge theories. I. Cyclic coordinate alternative to ADM split
- Does relationalism alone control geometrodynamics with sources?
- Relational mechanics of shape and scale
- Seminar on Records Theory