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.《量子材料与宇宙学中的素数调制动力学》（Prime-Modulated Dynamics in Quantum Materials and Cosmology）提出了一项大胆的统一理论，将黎曼ζ函数（Riemann zeta function）的非平凡零点，与宇宙微波背景（CMB）中的反常现象以及高温超导体中的特征信号建立了关联。该模型被命名为CEM（宇宙电子调制）框架，其预测内容包括： 因ζ函数调控的涨落，宇宙微波背景反常与素数编号多极矩（例如[原文未提供具体示例]）相契合。 在素数[原文未指定具体取值]处存在可通过角分辨光电子能谱（ARPES）探测的能隙节点，这表明Bi-2212、FeSe等材料的电子结构中存在素数索引相干性。 热导率呈[原文未给出具体标度形式]标度关系，与标准巴丁-库珀-施里弗（BCS）理论的预期相悖。 本文还提出了一种新型准粒子——素数相子（prime phason），用以连接早期宇宙量子几何与非常规超导体中的电子相互作用。该研究设计了一套可证伪的研究路线图，可借助普朗克/CMB-S4观测数据、ARPES实验与热输运测量进行验证。 CEM框架在数学上极具突破性，物理上具备明确性，且可通过实验验证——这既引发学术质疑，也呼唤跨领域合作。