Remaining analytical questions

The following remain unresolved in this paper.

1. Whether

   $$P_m{C}_c^{\infty }(M)=\ker E_B\cap {C_c}^{\infty }(M)$$

   for the extensions under consideration.

2. Closed conical wave formulas and spatial finite propagation for the logarithmic family and the general finite nonzero $\lambda$ family.

3. The non-diagonal transverse $U(2)$ family and the wider translation-invariant non-product ledger.

4. Pointwise image-boundary prescriptions beyond the global distribution identity proved here.

5. Spin structures and spinor domains; compatible Maxwell and Proca constraints at the apex.

6. Uniform $\mu \to 0$ limits through moving image boundaries and wave fronts.

7. Conical states, Hadamard covariances, quantisation, and interacting or time-ordered products.

The ordinary pointwise flat limit away from the moving boundaries is discussed in Appendix app:flat; it does not settle O6.