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What remains open
The confinement reduction leaves a finite, model-specific witness: for every normalized passage block, establish
and certify a rigorously positive lower endpoint for the least generalized eigenvalue. The source calls this the DP2/P06 gate.
What is already established
The source supplies a conditional route from the local passage certificate, together with its named refinement and completion inputs, to energetic confinement on a selected pure SU(3) branch. The reduction does not supply the missing positive local eigenvalue.
Example
In a two-dimensional illustrative model, the matrix diag(1,0) is nonnegative but has a nontrivial kernel. The matrix diag(1,2) is injective and has least eigenvalue one. For a physical passage block, a numerical approximation must be supplemented by a rigorous bound; positivity in this toy example supplies no physical certificate.
What would count as a resolution
Provide the block-by-block injectivity witnesses and rigorous positive lower endpoints in the source's declared normalization. The separate imported refinement and completion certificates must also remain explicit before the full physical conclusion is asserted.
Source
Phenomenological Implications I, v0.5, finite-passage certificate and confinement-reduction statements. Research manuscript — not peer reviewed.