A model of quantized space-time with neither dark energy nor dark matter is applied to predict the exponent of the Baryonic Tully-Fisher Relation. The dynamic clustering threshold αd of random 3-SAT Constraint Satisfaction Problems, connected to the Hales-Kepler sphere-packing ratio π/√18, predicts a BTFR exponent of ≈ 3. 853 — in close agreement with the observational value of 3. 85 ± 0. 09 reported by Lelli et al. (2019, MNRAS, 484), and independently supported by the weak gravitational lensing analysis of Mistele et al. (2024). The model addresses several open problems in the concordance ΛCDM framework including the flatness and coincidence problems, the nature of dark energy and dark matter, and the Hubble tension.
Philippe Journeau (Mon,) studied this question.
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