A Phenomenological Scaling Law for the Cosmological Constant

The cosmological constant (Λ) presents an existential crisis in theoretical physics. Conventional Quantum Field Theory (QFT) predicts avacuum energy density that exceeds observational limits by approximately 120 orders of magnitude. We propose a resolution by introducing aphenomenological scaling law rooted in the mechanism of Dynamic Vacuum Tension (DVT). Rather than treating the vacuum as an unboundedrepository of zero-point fluctuations, we model spacetime as an elastic manifold bounded by the maximum tension principle of general relativity(P = c4/G). By coupling this fundamental tension to the holographic energy bound of the cosmological horizon, we derive an exact analyticalexpression for Λ. To validate the framework, we perform a rigorous quantitative calibration utilizing the latest CODATA 2018 fundamentalconstants. The mathematical derivation yields a theoretical value of ΛDVT ≈ 1.105 × 10−52 m−2, demonstrating an exquisite agreement withthe empirically inferred value from the Planck 2018 mission. This scaling law successfully eradicates the "Vacuum Catastrophe" by proving thatDark Energy is not a particle-physics artifact, but rather the macroscopic geometric signature of spacetime’s intrinsic elasticity