The Ribbands Scale-Confinement Hypothesis

Abstract

I investigate a speculative correspondence between colour confinement in quantum chromodynamics (QCD), causal confinement by gravitational horizons, and possible hierarchies of cosmological domains. I distinguish geometric photon capture from spectral absorption and derive scaling constraints for a proposed boundary-response recurrence. For Schwarzschild black holes, the high-frequency capture cross-section is σ_geo = 27πG²M²/c4 = (27/4)πr_s², while the gravitational compactness C = 2GM/(Rc²) is invariant under a length rescaling R → ΛR only when mass scales as M → ΛM (holding G and c fixed). I formulate a dimensionless spectral-response ansatz and a discrete-scale recurrence, then test its limits against the enormous difference between proton and black-hole compactness. I show that neither geometric scaling nor the formal similarity between critical cosmological density and a Schwarzschild mass-radius relation establishes that hadrons are miniature black holes or that the observable universe is a nucleus. A nested-domain extension is identified as an unconstructed gravitational model requiring junction conditions, stable dynamics, and discriminating observations. The contribution is an explicit, falsifiable research programme, not a demonstrated unification.