Short-Range Amplification of Gravity through Fractal Compression in Unified Fractal Quantum Field Theory (UFQFT)

This work presents a geometric reinterpretation of gravity within a fractal field governed by a fixed spacetime dimension D = 2.7 and proposes, within the framework of Unified Fractal Quantum Field Theory (UFQFT), that the gravitational force arises from the intrinsic curvature of the unified energy-charge field (Φ–Ψ) rather than from an independent fundamental force. Using a reference scale of r ₀ = 0.1 mm, where classical and fractal gravity coincide, the model is fully consistent with macroscopic experiments, and a geometric scaling factor (r ₀ /r) of 0.7 allows for a smooth strengthening of gravitational coupling into the atomic and nuclear regimes, suggesting that the fractal field can be transformed into an electromagnetic field at the atomic scale and a nuclear force at the nuclear scale. Analytical formulations for the fractal-corrected potential, acceleration, and energy density show that this fixed-dimensional geometry produces continuous power-law amplification on small scales without violating current experimental limits, and the resulting "Fractal Compression Mechanism" naturally explains the apparent divergence between gravitational and nuclear forces as different manifestations of the same geometric structure, implying that nuclear interactions arise as resonant boundaries of the compressed spacetime curvature.This framework thus appears to provide a unified, scale-invariant description of the fundamental interactions within a single fractal spacetime continuum.