Recursive Fractal Spacetime Dynamics in Renormalization Group Flow and Higher-Spin Holography

This paper explores the recursive renormalization group (RG) flows in higher-spin AdS/CFT, investigating the emergence of fractal universality classes through trigonometric and modular invariance. By examining twistor monodromy and epicycloidal quantization, we also explore their impact on gravitational wave echoes and neutrino mass hierarchies. Additionally, we integrate quantum roulette dynamics in dark matter halos and baryogenesis, presenting a unified theory governed by trigonometric-cycloidal symmetry. The results provide predictions for upcoming experimental tests of the framework, including LIGO, DUNE, and JWST experiments. We present a reformulation of recursive fractal spacetime dynamics within the framework of renormalization group (RG) flow in higher-spin holography. By recasting recursive convergence points (RCPs) as generalized fixed-point structures in AdS/CFT, we establish a direct link between multi-scale corrections to gravitational dynamics and asymptotic safety scenarios in extended gauge sectors. We demonstrate that higher-order monodromies in twistor geometry provide a natural mathematical framework for describing cycloidal influence structures, which manifest as nontrivial winding modes contributing to modular symmetries in holographic entanglement entropy.