Phason Spectroscopy of the Sedenion Vacuum: Predicting the Fine Structure of the 1.8 GHz Gravitational Wave Background

We refine the predicted “Sedenion Scream” gravitational wave signature by treating the phys-ical vacuum not as a random Sedenion fluid, but as a codimension-12 quasicrystalline slice of adeterministic 16-dimensional hyperlattice Λ16. We demonstrate that the relaxation of the projectionwindow W generates a discrete spectrum of Phason modes, which manifest as hyperfine splittingof the fundamental 1.81 GHz resonance. We predict a central “Bragg Peak” at ν0 ≈ 1.811 GHzsurrounded by Golden Ratio sidebands at ∆ν ≈ ±21 MHz, corresponding to the elastic relaxation ofthe SO(7) embedding. We evaluate the observational viability of this signal using the ADMX axionhaloscope, demonstrating that the Tensor-to-Photon conversion efficiency via the Inverse Gertsen-shtein Effect is sufficient for detection (SN R > 5) within current run parameters, provided specificdiurnal modulation signatures are targeted.