theorem · fr-1-theorem-4-5

Maximal fusion-face singularity

Result stated and proved in the source manuscript; website restatement fusion-reconstruction

Statement

In the same tracial basic-construction setting, assume an infinite -orthonormal family of unitaries. Then and .

Meaning and scope

The Jones projections are orthonormal and all satisfy . Their averages have norm and fixed output. Left multiplication and density extend that defect to every target vector. The general hypothesis is infinite orthonormal unitary multiplicity; infinite index alone is not substituted for it.

The paper page includes the reader corrections accompanying this edition.

Source

[Paper 1, Theorem 4.5](/public/papers/released/Paper I - Infinite Index Fusion.pdf#page=5). Research note — not peer reviewed.

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