Dirac Modified Scaling

This essay derives the coherence pressure β from the cosmological constant Λ using Dirac modified scaling.The analysis demonstrates that the vacuum stiffness possesses a deterministic geometric origin.By applying a scaling factor N Dirac ≈ 10 40 to the global vacuum pressure, the theory recovers the specific stiffness required for hadronic confinement [1].This result establishes a mathematical bridge between the macroscopic Hubble scale and microscopic nucleonic dynamics, identifying physical constants as emergent properties of the Hyperbottle architecture [2].