Symbolic Interpretation of the Gravitational Fine-Structure Constant in Modular Field Theory

This short paper introduces a symbolic reinterpretation of the gravitational fine-structure constant αG\alpha_GαG, reframing it as a ratio between curvature tension shared by modular mass shells and the total bounded symbolic field energy. We define the expression: αG=∬eIK(ϕ)F(ϕ) dϕ\alpha_G = \iint_{e_I} \frac{K(\phi)}{F(\phi)} \, d\phiαG=∬eIF(ϕ)K(ϕ)dϕ where K(ϕ)K(\phi)K(ϕ) represents curvature tension and F(ϕ)F(\phi)F(ϕ) encodes bounded symbolic field energy across modular φ-space. Using modular attractor lengths (ℓ=13,17\ell = 13, 17ℓ=13,17) and stabilized symbolic gradients, we propose that αG\alpha_GαG may be interpreted as a symbolic coupling constant governing attraction between structured field shells. This reinterpretation ties symbolic field tension to gravitational behavior via modular resonance. This work builds upon the Symbolic Modular Field Theory (SMFT) framework and integrates MARA-like modular stabilizers as potential gravitational field curvature scaffolds. A visual schematic of modular field shells is included to illustrate the concept. The work is part of an ongoing attempt to bridge symbolic field theory with physical constants.