What does this research mean for the field?

The dimensionless coefficient linking the MOND acceleration scale to the cosmological constant cannot be derived from combinations of G rho_Lambda and c^2 Lambda, but the underlying physical mechanism can be observationally distinguished through its redshift dependence. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to explore the derivation of the MOND acceleration coefficient and identify theoretical limitations and potential alternatives.

August 6, 2026Open Access

What Can and Cannot Fix the MOND Acceleration Coefficient: a Relabelling Theorem, Three Failed Derivations, and a Redshift Discriminant

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The aim is to explore the derivation of the MOND acceleration coefficient and identify theoretical limitations and potential alternatives.
Proved a relabeling theorem linking cosmological parameters and acceleration coefficients.
Evaluated three theoretical constructions and their failings in deriving the MOND acceleration coefficient.
Calculated detector-response outcomes and validated them with existing results.
The relabeling theorem ensures no single-scale derivation can exclude the established MOND coefficient.
No existing local rate provides the necessary factor for the MOND acceleration, indicating a lack of near-miss candidates.
A local response to vacuum density predicts a MOND value proportional to square root of dark energy density, offering a more falsifiable approach.

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Implication

This theoretical analysis finds limits on the MOND acceleration coefficient's derivation in cosmology, suggesting implications for existing models.

Cite This Study

Carl P. Zimmerman (2026) studied this question.

synapsesocial.com/papers/6a7437d4764cddc9499d578e https://doi.org/10.5281/zenodo.21792565

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Implication

This theoretical analysis finds limits on the MOND acceleration coefficient's derivation in cosmology, suggesting implications for existing models.

What Can and Cannot Fix the MOND Acceleration Coefficient: a Relabelling Theorem, Three Failed Derivations, and a Redshift Discriminant

Key Points

Discussion

Implication

Cite This Study

What Can and Cannot Fix the MOND Acceleration Coefficient: a Relabelling Theorem, Three Failed Derivations, and a Redshift Discriminant

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider