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Miracles persist: a reply to Sus.

Niels Linnemann¹, James Read²

¹University of Bremen, Bremen, Germany.

European Journal for Philosophy of Science

|March 7, 2022

Summary

This summary is machine-generated.

This study challenges Sus's explanation for general relativity's "two miracles," finding the proposed method invalid. The authors conclude that these fundamental aspects of general relativity remain unexplained by Sus's approach.

Keywords:

Dynamical approach Noether’s theorem Relativity Symmetries

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Area of Science:

Theoretical Physics
General Relativity
Mathematical Physics

Background:

General relativity exhibits 'two miracles' concerning symmetries of matter fields and the metric field.
A recent article by Sus proposed an explanation for these miracles using a known principle of symmetry in equations of motion.
The principle states that every symmetry of the action is also a symmetry of the resulting equations of motion.

Purpose of the Study:

To critically evaluate Sus's purported explanation for the 'two miracles' of general relativity.
To demonstrate the inadequacy of Sus's methodology in accounting for these fundamental symmetries.
To reaffirm the persistent mystery surrounding the origins of these symmetries in general relativity.

Main Methods:

Analysis of the logical structure of Sus's argument.
Identification of the application of the principle relating action symmetries to equations of motion symmetries.
Critique of the validity of the application of this principle within Sus's framework.

Main Results:

Sus's paper, while clear, employs an illegitimate application of the principle that action symmetries imply equation-of-motion symmetries.
The proposed explanation for the 'two miracles' of general relativity is therefore considered invalid.
The 'two miracles' of general relativity remain unexplained by the method presented in Sus's article.

Conclusions:

The 'two miracles' of general relativity persist, as Sus's explanation is based on a flawed application of a known theorem.
Further theoretical work is required to fully understand the origins and implications of these symmetries in general relativity.
This rebuttal clarifies the limitations of Sus's approach, reinforcing the foundational questions in gravitational physics.