A proposed soft-scale swap in Auger hadronic models using an Emergent Gravity Theory length

We propose a single, falsifiable modification to the hadronic interaction models used inultra-high-energy cosmic-ray analyses at the Pierre Auger Observatory. Emergent Gravity Theory (EGT) supplies an ultramagnetic resonance Bres = 12.09776 fT and an amplification AEGT = 28√︁π/2 ≈ 402.124 (≈ 402.3 in prose), from which a length ℓEGT =ℏc/(AEGTBres) ≈ 1.15 × 10−20 m follows without Newton’s constant G. The proposal isto replace one named soft-scale / formation-length cutoff in a standard air-shower generator(EPOS-LHC, SIBYLL 2.3d, or QGSJet-II-04) with ℓEGT, leaving Auger’s detector response,reconstruction, and all other model parameters unchanged. A transparent logarithmic scaleargument then predicts a +18% increase in ground-level muon number Nµ for showers withprimary energy ≳ 1019 eV, on identical public event footprints. This is offered as one dialto turn, not as a completed theory of air showers. We ask whether Auger’s existing hybridsystematics already hide (or already rule out) such a shift. The claim is killed if the modifiedmodel yields a worse fit to fluorescence–surface hybrid data, or a fit indistinguishable fromthe baseline within published Auger uncertainties.