CMB Temperature from the Optico-Hydrodynamic Vacuum (OHV): A Dimensionally Unique Prediction

The Optico-Hydrodynamic Vacuum (OHV) framework predicts the Cosmic Microwave Background (CMB) temperature and the angular power spectrum first peak from a single cosmological parameter, eta = 0.004182 (dimensionless viscosity, derived from Pantheon+ Type Ia supernova data), without fitting to CMB data. An exhaustive dimensional analysis over all half-integer exponent combinations of fundamental constants (Planck constant, speed of light, Planck mass, Boltzmann constant, Hubble radius, and eta) reveals a unique combination yielding a physically reasonable temperature. The predicted temperature is T_CMB = 2.738 K, which agrees with the observed value of T_CMB = 2.725 K within an error of 0.47%. Additionally, the model predicts the angular scale of the first peak of the CMB power spectrum to be l = 215.8, which is consistent with the observed value of 220 +/- 0.5 within an error of 1.9%. These results utilize a single parameter fixed from supernova observations, with no additional fitting to CMB data. The dimensional uniqueness of the temperature formula and the precise numerical agreement warrant further investigation of the OHV framework as a static-universe alternative to the Lambda-CDM model. Key falsifiable predictions distinguishing OHV from the standard model are also discussed, including the stationary physical scale of Baryon Acoustic Oscillations (BAO) and frequency-dependent gravitational redshift.