Deriving the Cosmological Constant and Nature's Constants from SU(3) Confinement Volume

Abstract

We explore the interplay between three well-established physical principles: QCD confinement, the Third Law of Thermodynamics, and holography, and examine how their combined implications may shed light on several open problems in fundamental physics. As the Universe cools toward absolute zero, color confinement fragments the vacuum into proton-scale domains. The Third Law, which renders $T = 0$ unattainable and prohibits complete entropy elimination, implies that these domains must persist. This leads to a natural count $N \simeq (R_u / R_p)^3 \sim 10^{123}$, where $R_u$ is the radius of the cosmic horizon and $R_p$ is the proton radius. Assuming holographic saturation, each domain corresponds to a Planck-area patch on the cosmic horizon, allowing the Planck length, and hence $\hbar$, $G$, and $c$, to emerge as geometric quantities. The same tiling dilutes the bare Planck-scale vacuum energy by a factor of $N$, reproducing the observed value of $\rho_\Lambda$ without requiring fine-tuned counterterms.