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Leibniz--Mach foundations for GR and fundamental physics by Anderson, Edward is a scholarly article available to read on EtoBox.

What is Leibniz--Mach foundations for GR and fundamental physics about?

Consider the configuration space Q for some physical system, and a continuous group of transformations G whose action on the configurations is declared to be physically irrelevant. Implement G indirectly by adjoining 1 auxiliary g per independent generator of G to Q, by writing the system's action in an arbitrary G-frame (G-AF), and then passing to the quotient Q/G thanks to the constraints encoded by g-variation. I show that this G-AF principle supercedes (and indeed leads to a derivation of) the Barbour--Bertotti (BB) best matching principle. My other consideration is that absolute external time is meaningless for the universe as a whole. For various choices of Q and G, these lead to BB's proposed absolute structure free replacement of Newtoninan mechanics, to Gauge Theory and to the 3-space approach (TSA) formulation of GR. For the latter with matter fields, I discuss the SR postulates, Principle of Equivalence (POE) and simplicity postulates. I explain how a full enough set of fundamental matter fields to describe nature can be accommodated in the TSA, and compare the TSA with the `split spacetime formulation' of Kuchar. I explain the emergence of broken and unbroken Gauge Theo

Author

Anderson, Edward

Published

2004

Language

EN