TL;DR
This paper proposes two definitions of Mach's principle linked to gauge theory, exploring their implications for causality, general relativity, and quantum gravity.
Contribution
It introduces two new definitions of Mach's principle that are related to gauge theory and discusses their potential relevance to general relativity and quantum gravity.
Findings
One definition leads directly to general relativity.
The definitions incorporate the relational nature of physical quantities.
Potential relevance to quantum gravity is discussed.
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.
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