A disciplined research method
FAIL CLOSED is not a prompt book and does not treat a language model as an oracle. It describes reconstruction before agreement, adversarial testing, parallel-path verification, evidence maturity and clearly defined next admissible steps.
Unresolved hypotheses, contradictions and abandoned routes remain part of the record — not failures to be erased.
Where the method meets reality
The book draws on research case studies in mathematics, physics and AI governance, including total-positive matrices, Gaussian shifts, exploratory Navier–Stokes and Riemann work, and execution-bound governance architectures.
The presence of a case study does not imply a solved Millennium problem, independent peer review, or a claim of universal correctness.