Theoretical analysis demonstrates infrared fixed-point convergence in MERA tensor networks up to frequency t=10^20, indicating scale-invariant stability in critical spectral systems.
Building upon the foundational architectures of PROMETEO-PRIME (DOI: 10.5281/zenodo.21573060) and previous analytical studies on Mellin operators (DOI: 10.5281/zenodo.21892144), this version 5 formalizes the universal flow equations governing MERA tensor network renormalization. By rigorously defining the nonlinear recurrence relations and block-renormalization operators across massive frequency domains up to t = 10²⁰, we demonstrate how high-energy critical-line oscillations decouple and project onto a unique infrared fixed point with maximal quantum purity (Tr(ρ²) = 1.0) and a massive topological gap (Δ ≈ 4.97 × 10¹⁴). This contribution establishes the analytical backbone for the universal fixed-point attractor equations in critical spectral analysis.
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Juan Arroyo (2026) studied this question.
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