
本文对E8⊃E6×SU(3)F统一框架下SU(3)F伴随模场驱动的宇宙暴胀进行了全面分析。暴胀势自然地源自论文II中生成费米子质量层级的相同四次项,在固定层级真空比后,其形式为V(ϕ)=αϕ²+βϕ⁴。利用论文II中确定的参数范围(k=c/b∈[0.2,0.8],λ=0.22),并以观测到的曲率扰动振幅As≈2.1×10⁻⁹进行归一化,我们对无量纲参数α和β进行了蒙特卡罗扫描。预测的谱指数为ns=0.9649±0.005,与Planck 2018的观测结果高度吻合;张量标量比通常为r∼10−3,在下一代CMB实验(CMB-S4、LiteBIRD)的探测范围内。暴胀尺度为V∗1/4∼1016 GeV,与论文III中推导出的大统一理论尺度一致。所需的∣α∣∼10−11MPl2的微小性是由于继承自SU(3)F破缺动力学的近似平移对称性而导致的辐射稳定性。这项工作将E8统一理论扩展到早期宇宙,提供了连接粒子物理学和宇宙学的可检验预测。
E8 unification, inflation, SU(3)F modulus, slow-roll inflation, spectral index, tensor-to-scalar ratio, CMB, Planck 2018, CMB-S4, LiteBIRD, grand unification, shift symmetry, cosmic microwave background
E8 unification, inflation, SU(3)F modulus, slow-roll inflation, spectral index, tensor-to-scalar ratio, CMB, Planck 2018, CMB-S4, LiteBIRD, grand unification, shift symmetry, cosmic microwave background
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