Deriving the cosmological constant and nature's constants from SU(3) confinement volume

¹ Ralston Middle School - 2675 Ralston Ave, Belmont, CA 94002, USA
² Essex County College - 303 University Ave, Newark, NJ 07102, USA
³ Department of Physics, Benha University - Benha 13518, Egypt

Received: 15 May 2025
Accepted: 28 July 2025

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 , 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 , 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 without requiring fine-tuned counterterms.