Dual Horizon Radiation Correspondence: Quantitative Boundary Projections of Hawking Radiation and Primordial Background Formation

We present the Dual Horizon Radiation Correspondence (DHRC) with quantitative predictions connecting Hawking radiation and primordial cosmological backgrounds. Building on Horizon-Generator Cosmology, we derive: (1) specific spectral signatures mapping to primordial perturbation statistics, (2) consistency relations between parent horizon temperature and offspring radiation scales, (3) falsifiable correlation function predictions, (4) observational constraints α ≈ 0.05–0.3 from CMB data. We predict deviations from perfect thermality in Hawking radiation with correlation scales quantitatively related to cosmological perturbation scales.