Noether Theorems and Reality of Motion
M. Palese, E. Winterroth
TL;DR
This paper explores the implications of Noether's theorems for understanding conservation laws, especially energy conservation, in General Relativity, addressing longstanding philosophical and scientific debates.
Contribution
It analyzes the distinction between proper and improper conservation laws in the context of Noether's theorems and their relevance to the nature of energy conservation in General Relativity.
Findings
Clarifies the epistemological status of conservation laws in GR
Differentiates proper and improper conservation laws in physical theories
Provides insights into Hilbert's problem on energy conservation
Abstract
We will read, through the Emmy Noether paper and the two concepts of `proper' and `improper' conservation laws, the problem, posed by Hilbert, of the nature of the law of conservation of energy in the theory of General Relativity. Epistemological issues involved with the two kind of conservation laws will be enucleate.
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