KIR-QER: Cosmological Origin of the MOND Acceleration Scale from a Scalar Interaction-Density Field Preprint Description PACS: 04.50.Kd · 98.80.Es · 95.35.+d · 98.62.Dm We derive the MOND acceleration constant a0≈1.2×10−10 m/s2a0≈1.2×10−10m/s2 from first principles within the KIR (Kinetic-Induced Spacetime) scalar-tensor framework. The KIR action contains a single scalar field σ(x)∈0,1σ(x)∈0,1 whose Lagrangian V(σ)=Λ4σ(1−σ)V(σ)=Λ4σ(1−σ) is fixed by three uniqueness theorems and whose cosmological mean ρˉσ=Ωρρcritρˉσ=Ωρρcrit is an independently measured component of the cosmic energy budget (Ωρ=0.25Ωρ=0.25 from CMB+BAO). By balancing the kinetic gradient of the σσ field against the background energy density, we obtain With the SH0ES calibration H0=73.04H0=73.04 km/s/Mpc, this yields a0=1.227×10−10a0=1.227×10−10 m/s², in agreement with the SPARC-calibrated empirical value (1.200×10⁻¹⁰ m/s²) to within +2.2%. The 43‑year‑old Milgrom coincidence a0≈cH0/6a0≈cH0/6 is thus resolved: the factor 1/61/6 emerges algebraically from Ωρ=1/4Ωρ=1/4 via the Friedmann relation. No free parameter is introduced; the only inputs are fundamental constants and observables already fixed by cosmology. Three falsifiable predictions follow: (i) a0a0 scales proportionally to H(z)H(z), implying a detectable redshift evolution of galaxy rotation curves; (ii) galactic dynamics provide an independent estimate H0=71.5±1.5H0=71.5±1.5 km/s/Mpc, bridging the SH0ES–Planck tension; (iii) the σσ field acts as quintessence dark energy with wσ(z)>−1wσ(z)>−1, a signature distinct from both ΛΛCDM and phantom crossing. These predictions will be testable with SKAO, Roman Space Telescope, and next‑generation BAO surveys. This result is part of the KIR/QER‑Nezirov framework V10.3. The complete derivation of the RAR interpolation function, the identification of ΩρΩρ with the σσ-field background, and the action‑based force balance are fully detailed in the accompanying supplements (in particular Supplements I, VI, VII, IX, and the recent preprint). The derivation chain is parameter‑free and resolves a long‑standing puzzle in modified gravity. Status: Preprint – not peer reviewed. The work is submitted for open peer review and has been deposited for permanent preservation and open access.
Raffael Cemail Nezirov (Tue,) studied this question.