Gravitational Wave Signatures of Cosmological Stasis: A Unified Spectral Template

Proposed in 2022 by Dienes et al., stasis is a dynamical fixed point in the early universe in which the equation of state, w s, is fixed at a constant value. In this study we show that the inflationary gravitational wave imprint of any stasis epoch is captured by a closed-form spectral template controlled by two physical inputs, the equation of state w s and the stasis duration N stasis, that applies uniformly across every microphysical realization. The template presented here yields two independently measurable observables, the spectral tilt of the spectra in the stasis band, alpha(w s) and the amplitude step C 2(w s) at the beginning and end of the stasis band. Eliminating w s gives a one-parameter consistency curve C squared = C 2(alpha) on which the data must lie if the underlying cosmology is any constant- w era. This makes the spectrum falsifiable without knowing w s in advance: a measured (alpha, C 2) pair either lands on the curve or rules out the constant- w class. We show that BBO and DECIGO can resolve the perpendicular displacement from the consistency curve to sigma 1.5 times10-5 at a tensor-to-scalar ratio, r = 0.01, four orders of magnitude below the curve's range in C squared meaning that any off-curve deviation is detectable across a broad range of allowed r values.