The Universal Entropic Mass Principle (UEMP) postulates a minimum entropic cost equation S m c²kB T₄₅₅ equation for mass stabilization, generating a characteristic acceleration scale that reproduces the observed Radial Acceleration Relation (RAR) with performance comparable to MOND and lower AIC/BIC than NFW profiles, as shown in entropic galactic analyses by Coutinho2026b and tested against SPARC observations SPARC2016. The principle extends consistently to gravitational lenses, galaxy clusters, and cosmology, predicting a redshift-dependent limiting acceleration equation a₀ (z) H (z), equation testable with upcoming large-scale surveys such as Euclid EuclidLensing₂024. Dark energy emerges naturally as a cumulative entropic density equation ₄₍ₓ ᵢ mᵢ c²V Tᵢ, equation producing repulsive pressure without invoking exotic fields or a cosmological constant, as derived theoretically in Coutinho2026 and constrained by Planck observations Planck2018Legacy. The model predicts continuous accelerated expansion and monotonic entropy growth, even during cosmic cooling and in black-hole-dominated eras.
Fernando Cesar Coelho Coutinho (Wed,) studied this question.