Quantized Space-Time, Random 3-SAT, and the Baryonic Tully-Fisher Relation
Some update from previous Post "SAT Baryonic Tully-Fisher Relation"
The last version of the manuscript entitled “A Quantum Gravity Model Tested by the Baryonic Tully-Fisher Relation (BTFR)” reached the entrance to peer review and since the paper's central claim rests partly on chronology, I wanted to put the dated record here for anyone curious to check it directly.
The core result
The model treats space-time as quantized, built on Boolean and Quantum logic, and applies the random 3-SAT constraint-satisfaction framework — well established in statistical and condensed-matter physics — to cosmology and gravitational physics. Its central, parameter-free prediction is a BTFR exponent of ≈ 3.853 (from 3-SAT alpha_clustering threshold once linked to Hales-Kepler ratio). This sits in close agreement with the observational value of 3.85 ± 0.09 reported by Lelli et al. (2019), and is independently supported by Mistele et al. (2024). No dark matter or dark energy is required by the model.
Why the dates matter
The core predictions behind this — in particular, the structuring role of the Hales-Kepler sphere-packing ratio in defining the boundary between the repulsive (dark-energy-like) and attractive (matter-like) regions of the universe, and the application of random 3-SAT thresholds to cosmology yielding the ~3.853 factor — were communicated in various forms starting in 2007–2008, with an explicit formulation available from 2016. That's roughly three years before the 2019 observational measurement they now agree with. The manuscript under review adds the rigorous quantum-gravity clause/cell model and its precise application to galactic dynamics and the BTFR — the parts that weren't yet worked out in the earlier posts, which may be checked by looking backward to 2016 into my series of posts, below.
The dated records starting with the posts of 2016
1."Cosmological introduction" (2016) — DOI: [10.5281/zenodo.21644161](https://doi.org/10.5281/zenodo.21644161)
2."Cosmological Coincidence" (2016) — DOI: [10.5281/zenodo.21641551](https://doi.org/10.5281/zenodo.21641551)
3."Cosmological Constant issue" (2016) — DOI: [10.5281/zenodo.21643910](https://doi.org/10.5281/zenodo.21643910)
4."Satisfiable Cosmologies" (2022) — Journeau, P. (2022). Satisfiable Cosmologies. International Journal of Cosmology, Astronomy and Astrophysics (IJCAA), 4(1), 170–183. DOI: [10.18689/ijcaa-1000131](https://doi.org/10.18689/ijcaa-1000131)
5."A Quantum Gravity Model Tested by the BTFR" (manuscript preprint) — DOI: [10.5281/zenodo.21221998](https://doi.org/10.5281/zenodo.21221998)
Together, the first three establish that the foundational elements of the model — the sphere-packing boundary and the 3-SAT threshold argument — were on record well before the 2019 observation they now predict. The fourth is the full final version of the manuscript itself, currently in peer review.
Comprehensive Universe 