Boost Weights and the Resolution-Metric Dichotomy of the Axial Surface Spectroscopy

This paper completes the boost-weight layer of axial surface spectroscopy. It assigns algebraic dyad boost weights to the longitudinal source slots, relates them to the chiral clocks (\tau\pm S_3), and shows that the longitudinal sector has no canonical boost-invariant positive resolution metric. The result separates compact spin-charge resolution from non-compact boost-weight obstruction.