The Definition of Mach's Principle
arXiv:1007.3368 · doi:10.1007/s10701-010-9490-7
Abstract
Two definitions of Mach's principle are proposed. Both are related to gauge theory, are universal in scope and amount to formulations of causality that take into account the relational nature of position, time, and size. One of them leads directly to general relativity and may have relevance to the problem of creating a quantum theory of gravity.
To be published in Foundations of Physics as invited contribution to Peter Mittelstaedt's 80th Birthday Festschrift. 30 pages
References in corpus (1)
Cited by in corpus (18)
- Relational Observables in Gravity: a Review
- Time Remains
- The Solution to the Problem of Time in Shape Dynamics
- When scale is surplus
- Stochastic Emergent Quantum Gravity
- Angular momentum without rotation: turbocharging relationalism
- Spacetime, Spin and Gravity Probe B
- A generalized Weyl structure with arbitrary non-metricity
- Shadows of black holes at cosmological distances in the co-varying physical couplings framework
- Mach's Principle: A Response to Mashhoon and Wesson's Paper arXiv: 1106.6036
- Emergent physics on Mach's principle and the rotating vacuum
- Some clarifications on the relation between Bohmian quantum potential and Mach's principle
- Operational Geometry on de Sitter Spacetime
- Parametric instability in scalar gravitational fields
- Bohmian Field Theory on a Shape Dynamics Background and Unruh Effect
- The Scalar Mach-Sciama Theory of Gravitation
- A Note on the Origin of Inertia
- Action for N D0-Branes Invariant Under Gauged Galilean Transformations