Fractal Holographic Emergent String Theory (FHEST): PART B Mathematical Framework, Mechanisms, and Experimental Validation

Fractal Holographic Emergent String Theory (FHEST) integrates fractal geometry, instanton corrections, holographic duality, and string theory into a selfconsistent quantum gravity framework. By using fractal spacetime discretization, coupled with non-perturbative curvature dynamics and holographic dimensional reduction, this theory addresses core challenges such as spacetime divergences at high energy scales, gravitational non-renormalizability, and the black hole information paradox. This paper systematically outlines the mathematical tools, physical implementation path, experimental predictions, and comparative advantages of FHEST over traditional models, while examining its future development directions