Structural Origin of Gravity

This work presents a zero-parameter structural formulation of gravity.Using the fixed constants\[R = 13/6, S = 31/24,\]together with a gravity-sector structural index \(Ψ_G\), the numerical value associated with the SI representation of the gravitational constant is written as\[√G = α S/π Ψ_G.\]This gives\[G ≈ 6.674338186956 × 10⁻¹¹,\]in close agreement with the CODATA 2022 reference value.The result is interpreted conservatively as a structural correspondence: the formulation reproduces the numerical value of \(G\) in its SI representation, without claiming to derive physical dimensions themselves.The same structural hierarchy also reproduces the gravitational coupling strengths \(αGp\) and \(αGe\), together with the Planck, proton, and electron SI mass scales.The inputs \(α\) and \(m_p/m_e\) are inherited from the electroweak and mass-hierarchy sectors, so the gravity-sector calculation introduces no additional fitted parameters. A minimal Python implementation is provided for full reproducibility:https://github.com/yasuotanakaresearch/zero-parameter-structure