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PreprintCC BY 4.0arXiv

Thermalization of the Primordial Stochastic Gravitational-Wave Background

Abstract

It is conventionally believed that the Stochastic Gravitational-Wave Background (SGWB) from inflation provides information about the earliest universe. However, in this Letter, we present a different picture. Our analysis starts from the observation that the inflation-predicted spectrum implies gravitons reside in high-occupation states, which significantly enhances their self-interactions and triggers rapid thermalization. We show that approximately 80% of the primordial gravitons participate in this thermalization, forming a Bose--Einstein distribution and thereby erasing the primordial information. Evaluated using typical inflation parameters, this thermalized spectrum yields a present-day peak frequency of f0, peak(th) ∼ 1.4 × 108 Hz in the hundred-megahertz band with a peak amplitude of Ω0, peak(th) ∼ 3.5 × 10−13. Due to the sharp drop-off away from the peak, the resulting spectrum lies beyond the reach of low-frequency observatories like PTAs, LISA, and LIGO, but remains uniquely accessible to high-frequency detectors such as microwave cavity resonators and dielectric haloscopes.

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BibTeX
@misc{zhang2026thermalization,
  title = {{Thermalization of the Primordial Stochastic Gravitational-Wave Background}},
  author = {Hongguang Zhang and Zhengyang Qiu and Sirui Wang and Jiayi Wei},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20325},
  eprint = {2610.20325},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.20325},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermalization of the Primordial Stochastic Gravitational-Wave Background
AU  - Hongguang Zhang
AU  - Zhengyang Qiu
AU  - Sirui Wang
AU  - Jiayi Wei
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.20325
UR  - https://arxiv.org/abs/2610.20325
AB  - It is conventionally believed that the Stochastic Gravitational-Wave Background (SGWB) from inflation provides information about the earliest universe. However, in this Letter, we present a different picture. Our analysis starts from the observation that the inflation-predicted spectrum implies gravitons reside in high-occupation states, which significantly enhances their self-interactions and triggers rapid thermalization. We show that approximately 80% of the primordial gravitons participate in this thermalization, forming a Bose--Einstein distribution and thereby erasing the primordial information. Evaluated using typical inflation parameters, this thermalized spectrum yields a present-day peak frequency of f_0, peak^(th) ∼ 1.4 × 10^8 Hz in the hundred-megahertz band with a peak amplitude of Ω_0, peak^(th) ∼ 3.5 × 10^−13. Due to the sharp drop-off away from the peak, the resulting spectrum lies beyond the reach of low-frequency observatories like PTAs, LISA, and LIGO, but remains uniquely accessible to high-frequency detectors such as microwave cavity resonators and dielectric haloscopes.
ER  -