Criteria for Resolution:

1. Consensus in Research Community:

- There must be a consensus in the scientific and research community that hypercomputation is possible. This consensus must be based on strong theoretical arguments.

2. Level of Confidence:

- The required confidence level is similar to the confidence in an exotic but reliable prediction of an accepted theory (e.g., the prediction of black holes before empirical observations confirmed them). Extreme certainty, akin to a fundamental physical law, is not required, but there must be substantial theoretical foundation and acceptance within the community.

Data Sources for Verification:

- Peer-Reviewed Publications: Articles and papers published in leading scientific journals such as the Journal of the ACM, Communications of the ACM, or other reputable journals in theoretical computer science and mathematics.

- Scientific Organizations: Statements or reports from recognized scientific organizations or societies, such as the Association for Computing Machinery (ACM) or the Institute of Electrical and Electronics Engineers (IEEE).

- Expert Opinions: Articles, reviews, or statements from leading experts in the field of theoretical computer science, mathematics, or related disciplines.