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This work aims to outline the algebraic consequences of the Ananke Theorem under symmetry reduction, focusing on gravitational closure.

January 25, 2026Open Access

Phenomenological Consequences of the Ananke Theorem

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SGSimon F. Gates

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Preprint reveals algebraic scaling relations from the Ananke Theorem in symmetry-reduced regimes, indicating important implications for gravitational models.

Key Points

This work aims to outline the algebraic consequences of the Ananke Theorem under symmetry reduction, focusing on gravitational closure.
Examined symmetry-reduced gravitational action derived from the Ananke Theorem.
Analyzed two symmetry classes in stationary, axisymmetric, rotationally supported systems.
Derived several observational projections from a single algebraic balance relation.
Identified a unique algebraic balance governing circular motion under gravitational closure.
Demonstrated that the baryonic Tully–Fisher relation and mass-discrepancy–acceleration relation arise from this balance.
Established pressureless a−3 scaling as the unique evolution law in homogeneous configurations.

Cite This Study

Simon F. Gates (2026) studied this question.

synapsesocial.com/papers/6975b36bfeba4585c2d6ed74 https://doi.org/10.5281/zenodo.18348541

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Implication

Preprint reveals algebraic scaling relations from the Ananke Theorem in symmetry-reduced regimes, indicating important implications for gravitational models.

Phenomenological Consequences of the Ananke Theorem

Discussion

Member takes

Implication

Key Points

Cite This Study

Phenomenological Consequences of the Ananke Theorem

Discussion

Member takes

Implication

Key Points

Cite This Study

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