发表机构
Faculdade de Ciências da Universidade de Lisboa; Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa（里斯本大学理学院; 里斯本大学理学院空间科学与天体物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究指出熵引力（GfE）在一般FLRW背景下存在张量传播病态，其严格主TT系统的特征根会随\\(\dot H\\)与\\(K/a^2\\)的关系变化，且单多重态无法消除该高频双曲性障碍。
AI 中文摘要
我们证明，熵引力（Gravity from Entropy, GfE）在一般FLRW背景下表现出张量传播病态。在真空、对称继承的单多重态扇区以及代数理想流体本构嵌入下，严格主TT系统仅当\\(\dot H=K/a^2\\)时具有非零实特征；偏离该轨迹时，时间主根变为复数，表明存在高频双曲性障碍。在所述各向同性假设下，秩定理进一步表明，一个基础多重态无法提供消除该问题所需的各向同性双矢量响应。
英文摘要
We show that Gravity from Entropy (GfE) exhibits a tensor-propagation pathology on generic FLRW backgrounds. In vacuum, in the symmetry-inheriting single-multiplet sector, and for the algebraic perfect-fluid constitutive embedding, the strict-principal TT system has a nonzero real characteristic only when \(\dot H=K/a^2\). Away from this locus the temporal principal roots become complex, signaling a high-frequency hyperbolicity obstruction. Under the stated isotropy assumptions, a rank theorem further shows that one foundational multiplet cannot provide the isotropic bivector response needed to remove this problem.
Comments7 pages
