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PreprintarXiv licencearXiv

Gravitational Waves and Matter Constraints in Gravity from Entropy

  • David S. Pereira
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Abstract

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 Ḣ=K/a2. 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.

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Cite

BibTeXRIS
BibTeX
@misc{pereira2026gravitational,
  title = {{Gravitational Waves and Matter Constraints in Gravity from Entropy}},
  author = {David S. Pereira},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03082},
  eprint = {2609.03082},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03082},
}
RIS
TY  - UNPB
TI  - Gravitational Waves and Matter Constraints in Gravity from Entropy
AU  - David S. Pereira
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.03082
UR  - https://arxiv.org/abs/2609.03082
AB  - 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 Ḣ=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.
ER  -