Definor String Theory - A Quantum Derivation of the Gravitational Constant

This essay proposes a quantum-geometric derivation of the gravitational constant, offering a new framework that unifies quantum and relativistic behavior without requiring curved space-time. Definor String Theory presents a geometric model where linear and circular strings form a 3D spherical phase space, replacing traditional space-time. This model introduces harmonic scales and dimensional stiffness to derive fundamental constants such as electron and proton masses, proton charge radius, and gravitational constant, using spherical volumes, the Planck constant, and vacuum impedance without free parameters. Gravity arises as a phase-matching resonance between particles, unifying quantum and relativistic behavior. The calculated electron and proton masses are accurate to parts per billion of CODATA values, while the predicted proton charge radius and gravitational constant surpass current experimental precision. The gravitational force expression reproduces planetary precession and gravitational lensing without invoking spacetime curvature or singularities, offering a predictive, scale-based alternative to General Relativity.