Two-Axis Fusion-Face Boundary

Statement

With the infinite orthogonal Jones witnesses , let , the orthogonal projection onto , and . Then . Each fixed- source limit and fixed- demand limit is bounded. The joint map on the algebraic witness span in its Hilbert closure is nonclosable.

Meaning and scope

The same averages that vanish in source norm still have multiplication value one. This theorem asserts nonclosability on the witness span; full-target maximality concerns the amplified full core in Paper I.

Source

Paper 3, Theorem 3.1. Frozen manuscript — research note, not peer reviewed.