Millennium Prize Collaboration Proposals¶
Strategy¶
For both the Yang-Mills Mass Gap and Riemann Hypothesis millennium problems ($1M each from Clay Mathematics Institute), the RTSG approach is:
- Do the heavy lifting — solve everything up to the final conceptual jump
- Hand the last step to established teams — give them all the solved intermediate work so they don't waste energy on drudgery
- Split the prize 50/50 — half to the Nike Research Assembly foundation (world-saving mission), half to the collaborating team
- Share naming credit equally — but allow collaborators to be listed first on academic papers
Terms¶
| Term | Detail |
|---|---|
| Prize split | 50% Nike Research Assembly / 50% collaborating team |
| Author ordering | Collaborating team listed FIRST on academic papers |
| Naming weight | Equal — full co-credit for both parties |
| RTSG contribution | All intermediate solved work, theoretical framework, directional guidance |
| Collaborator contribution | The final breakthrough / conceptual jump |
| Rationale | We did the drudge work so you don't have to tire yourselves out; you contribute the crowning insight with fresh energy |
Yang-Mills Mass Gap ($1M)¶
Problem: Prove that for any compact simple gauge group G, a non-trivial quantum Yang-Mills theory exists on R^4 and has a mass gap delta > 0.
RTSG contribution: The scale-invariant consensus framework, topology-first approach, functor equivalence between physical and mathematical optimization surfaces. The framework treats gauge symmetry as a special case of the general RTSG symmetry structure.
Target collaborators: Active Yang-Mills research groups (to be identified — likely mathematical physics departments at IAS, Cambridge, or Paris).
Riemann Hypothesis ($1M)¶
Problem: All non-trivial zeros of the Riemann zeta function have real part 1/2.
RTSG contribution: The Step 6 Weil attack — resonances vs eigenvalues approach. All work documented at the wiki. Intermediate steps solved, final conceptual connection left open.
Target collaborators: Active RH research teams (to be identified — number theory groups working on spectral approaches).
Why This Works¶
- Established mathematicians get a massive head start — months or years of intermediate work done for them
- They bring fresh cognitive energy to the final jump, not exhausted from drudgery
- The academic community gets proper credit structure (their names first)
- The RTSG foundation gets funding for its world-saving mission
- It models the RTSG principle: maximize utility through cooperation, not competition
- It demonstrates that the framework itself produces real mathematical results
Open Questions¶
- Who are the best active teams to approach for each problem?
- What is the optimal format for the proposal? (Academic letter? Preprint? Direct contact?)
- Should we publish the intermediate work on arXiv first to establish priority?