3562 — Prime Innovation Towers Are Overlapping Charts of One Seam State, Not Additive Energy Sectors
For every prime , its cumulative innovation transform is already an isometry of the complete seam state:
Thus adding the energies of the - and -charts gives : it duplicates one state rather than assembling independent sectors.
At finite height, the sorted union of all prime-power boundaries gives a canonical common refinement. Every prime chart is recovered by isometric merging of its refinement cells.
Therefore global arithmetic assembly is a gluing problem. The missing constructor is the mixed-prime overlap incidence that orients moving-seam window increments on the common refinement. A naive Euler sum over prime boundary energies is ill-typed.
Checker result: 14/14.