Λ Constant, a₀ Evolving: High-Redshift Galaxy Masses

Under the framework’s local-epoch reading, we propose that the modified Newtonian dynamics (MOND) acceleration scale evolves with cosmic epoch as a₀(z) = a₀(0) E(z), where E(z) = H(z)/H₀. This single input predicts three correlated direct dynamical observables at high redshift: baryonic Tully–Fisher relation (BTFR) normalization (E⁻¹), MOND transition radius (E⁻½), and asymptotic velocity at fixed baryonic mass (E⁺¼), together with a supporting fixed-geometry collapse-time heuristic (E⁻¼). The redshift evolution is normalized to the local SPARC value. Existing intermediate-redshift measurements are mixed and not yet mutually consistent: a KMOS3D BTFR tension, radial-acceleration-relation evolution in the predicted direction (MUSE-DARK III), and a flat baryonic Tully–Fisher zero point in tension with the normalization prediction (MUSE-DARK II) are each treated in Section 4. A particularly clean near-term test is matched-systematics kinematic follow-up at the original Übler redshifts; existing JWST/NIRSpec data partially cover the lower of the two redshifts, and the matched baryonic-mass campaign remains to be carried out at both. Extending the same evolution to gravitational lensing would require a relativistic completion not supplied here and is noted only as a conditional outlook. Under the stated sector and well assignments, the framework yields a₀/(cH) = 0.1845; the mechanism is presented in Section 2 and Appendix A. Latest derivation of this paper can be found at github.com/early-galaxies

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-30
DOI
https://doi.org/10.5281/zenodo.18072995
Primary Topic
Galaxies: Formation, Evolution, Phenomena
Type
preprint
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preprint

Λ Constant, a₀ Evolving: High-Redshift Galaxy Masses

Blake Shatto
Zenodo (CERN European Organization for Nuclear Research)
Galaxies: Formation, Evolution, Phenomena
preprint

Λ Constant, a₀ Evolving: High-Redshift Galaxy Masses

Blake Shatto
preprint en

Abstract

Under the framework’s local-epoch reading, we propose that the modified Newtonian dynamics (MOND) acceleration scale evolves with cosmic epoch as a₀(z) = a₀(0) E(z), where E(z) = H(z)/H₀. This single input predicts three correlated direct dynamical observables at high redshift: baryonic Tully–Fisher relation (BTFR) normalization (E⁻¹), MOND transition radius (E⁻½), and asymptotic velocity at fixed baryonic mass (E⁺¼), together with a supporting fixed-geometry collapse-time heuristic (E⁻¼). The redshift evolution is normalized to the local SPARC value. Existing intermediate-redshift measurements are mixed and not yet mutually consistent: a KMOS3D BTFR tension, radial-acceleration-relation evolution in the predicted direction (MUSE-DARK III), and a flat baryonic Tully–Fisher zero point in tension with the normalization prediction (MUSE-DARK II) are each treated in Section 4. A particularly clean near-term test is matched-systematics kinematic follow-up at the original Übler redshifts; existing JWST/NIRSpec data partially cover the lower of the two redshifts, and the matched baryonic-mass campaign remains to be carried out at both. Extending the same evolution to gravitational lensing would require a relativistic completion not supplied here and is noted only as a conditional outlook. Under the stated sector and well assignments, the framework yields a₀/(cH) = 0.1845; the mechanism is presented in Section 2 and Appendix A. Latest derivation of this paper can be found at github.com/early-galaxies

Zenodo (CERN European Organization for Nuclear Research)
Galaxies: Formation, Evolution, Phenomena
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