Informational Redundancy Minimization: A Unified Framework for Emergent Gravity, MOND Derivation, and 10.2σ Confirmation of a₀ ∝ ρ_env1/3 from 147 SPARC Galaxies!!!!

July 17, 2026Open Access

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Key Points

The aim is to derive MOND from first principles and explore its relationship with emergent gravity and cosmological parameters.
Theoretical derivation of the MOND interpolation function via the Lambert W function.
Fitting galaxy rotation curves of 147 SPARC galaxies to assess consistency with predicted acceleration scale.
Statistical analysis to confirm the significance of results, including S8 tension resolution.
Derived MOND interpolation function yielding significant fits with β = 0.3505 ± 0.0117, p = 2.4×10^{-23}.
Confirmed a0 ∝ ρ_env^{1/3} with 10.2σ parametric significance, indicating its non-constancy.
Resolved the S8 tension with predicted value matching KiDS+DES lensing data.

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Demonstrates emergent gravity's predictions in galaxy rotation curves, highlighting a unified framework for MOND.

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Lic.Mendoza Romo Martinez Mendoza Romo Martinez (2026) studied this question.

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