Why we tried it
Separate algebraic positivity and scalar dominance in finite amplitude families from stronger physical-consistency requirements.
What the evidence shows
Manuscripts and exact symbolic certificates concern specified families; finite-spin checks do not substitute for all-level arguments, and restricted obstructions do not exclude completions outside their hypotheses.
Where the work stands
Mathematical positivity is not a complete physical string theory or general UV completion; novelty still needs specialist comparison to direct prior work.
Possible next steps
Audit the uniform cutoff and finite base cases, then test higher-point, factorization and completion assumptions as separate falsifiable obligations.
Suggested next steps are untested research questions, not new experimental results. The archive records manuscript provenance, licensing and status.