A Resolution to the Cosmological Constant Problem - Bridging General Relativity & Quantum Mechanics

Cosmological lambda (Λ), reinterpreted as an augmentation of spacetime curvature k, by a universal stretch factor SU, ΛSu (herein denoted ΛRu), was previously derived within the ROtational Newtonian Dynamics-Universal framework (RONDu1 or Ru1) by Seth (2025b). Ru1 models spacetime as a perfect fluid-like continuum with elasticity and compressibility (elasto-fluid) within a black hole universe (BHU) with ΛRu, that varies inversely with radius, intersecting ΛCDM (~1.11×10-52 m-2) at the CMB Hubble epoch (r~13.8-14.5 Gly). In this work, ΛRu is tested against Λ predicted by quantum field theory (QFT) at three limits: naive ΛPlanck~9.62×1070 m-2, constrained ΛQFT~6.09×1068 m-2, and maximum curvature ΛCurv~1.15×1070 m-2; respectively corresponding to energy densities, ⍴Planck~4.63×10113 J/m3, ⍴QFT~2.93×10111 J/m3, and ⍴Curv~5.53×10112 J/m3. Here, ⍴QFT is constrained by an lP-1 cutoff, and ⍴Curv occurs at the Ricci curvature limit ΛCurv=3/lP-2. Anchored by the Schwarzschild radius of the universe (rS ~23.5 Gly) and baryonic mass (Mb ~1.5×1053 kg), ΛRu consistently predicts ΛCDM, ΛPlanck, ΛQFT, and ΛCurv across a unifying radial range from  cosmological (~1026 m) to quantum (~10-15 m) scales, offering a resolution to the Cosmological Constant Problem (CCP). Adjusting Ru1 to solve for curvature radius at ⍴Planck yields rPlanck~1.41 femtometers (fm), consistent with the characteristic range of the strong force meson interaction described by the Yukawa potential (~1.41-1.46 fm) with the pion mass energy of ~140 MeV. At the constrained energy density, ⍴QFT, rQFT~7.65 fm is well outside the Yukawa potential range (1-3 fm), however, the maximum curvature radius rCurv~2.87 fm corresponding to ΛCurv, is in range, near the upper limit ~3 fm, with the pion field energy of ~68.76 MeV. The absolute maximal energy density predicted by Ru1 (⍴Ru~3.1×10173 J/m3), exceeds ⍴Planck by 60 orders of magnitude, wielding sufficient potential energy to geometrically induce vacuum fluctuations and drive hadronization under the Heisenberg uncertainty, within the 1.41 fm confinement scale. In this respect, Ru1 offers a mathematically consistent and causally based theory to geometrically link GR, ΛCDM, QFT in a singular formulation of Λ, binding, rather than replacing existing theories.