The Baryon Acoustic Oscillation (BAO) scale is typically interpreted as a relic acoustic horizon imprinted in the cosmic plasma during the early universe. In the Optico-Hydrodynamic Vacuum (OHV) framework, we propose an alternative origin: the BAO scale is a stationary physical property of the contemporary vacuum substrate rather than a relic of primordial expansion. By applying a Jeans-type instability analysis to the viscous vacuum continuum, we derive the critical scale length governed by the single dimensionless viscosity parameter eta = 0. 004182 (fixed independently from Pantheon+ supernova data). We demonstrate that the predicted physical scale of lambdaBAO approx 154 Mpc is invariant across all redshifts. This model naturally explains the observed correlations in galaxy distribution without requiring the metric expansion of space or the fine-tuning of primordial acoustic perturbations. The OHV framework provides a coherent, non-expanding alternative to the standard Lambda-CDM cosmology, showing that the BAO scale is a direct manifestation of vacuum structure.
Sergey Yurevich Paygachkin (Tue,) studied this question.