Prime-Modulated Dynamics in Quantum Materials and Cosmology: From Zeta-Regulated CMB Anomalies to ARPES Signatures

Prime-Modulated Dynamics in Quantum Materials and Cosmology proposes a bold, unified theory connecting the non-trivial zeros of the Riemann zeta function to both anomalies in the cosmic microwave background (CMB) and signatures in high-temperature superconductors. The model, dubbed the CEM (Cosmic Electron Modulation) framework, predicts: CMB anomalies aligned with prime-numbered multipoles (e.g., ) due to zeta-regulated fluctuations. ARPES-detectable gap nodes at for primes , suggesting prime-indexed coherence in the electronic structure of materials like Bi-2212 and FeSe. Thermal conductivity scaling as , diverging from standard BCS expectations. A novel quasiparticle—the prime phason—is proposed to link early-universe quantum geometry with electron interactions in unconventional superconductors. The paper lays out a falsifiable roadmap using Planck/CMB-S4 data, ARPES experiments, and thermal transport measurements. The CEM is mathematically daring, physically specific, and empirically testable—inviting both skepticism and collaboration.