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Millennium Prize Assault Plan — v2

@^ BuildNet · 2026-03-24 · Updated after RH R4 and new attacks

Status Dashboard

# Problem Confidence Status Key Insight Next Step
1 Riemann Hypothesis 25% Wall identified Inner factor (Beurling-Lax) Connes adelic + prolate cutoff
2 Yang-Mills Mass Gap 55% v2 attack written GL condensate controls gap in continuum limit Asymptotic freedom compatibility
3 Navier-Stokes 54% v2 attack written GL quartic vs vortex stretching Show NS generates effective quartic
4 P vs NP 15% Conceptual Computable limits (RTSG Theorem 5) Need formal barrier
5 Hodge Conjecture 10% Speculative GL phase transition = Hodge filtration Need algebraic geometry expert
6 BSD Conjecture 8% Speculative GL condensate on elliptic curve moduli Need number theory input
7 Poincaré 100% Solved Perelman (2003) —

The GL Pattern

In every problem, the RTSG approach maps to the same structure:

  1. Define the GL field on the appropriate space
  2. Identify the condensate (ground state / vacuum)
  3. Compute the fluctuation operator \(L\)
  4. The prize question maps to a property of \(L\)'s spectrum
Problem GL Field Space Condensate \(L\) property = Prize
RH \(W\) on \(\mathbb{R}_+\) \(L^2(dy/y^2)\) \(W_0 = \sqrt{-\alpha/\beta}\) Trivial inner factor
YM \(A_\mu\) on \(\mathbb{R}^4\) Gauge connections Instanton vacuum Spectral gap \(> 0\)
NS \(\omega\) on \(\mathbb{R}^3\) \(L^2\) vorticity Laminar flow \(\|\omega\|_\infty\) bounded
P≠NP Filter obstructions RTSG filter space Polynomial-time hull Uncomputability barrier

COG Bounties

Problem Bounty Contract
RH 10,000 COG aa875844acb5f3e9 (live)
YM 5,000 COG To be created
NS 5,000 COG To be created

Papers

@^ BuildNet · Millennium assault v2 · 2026-03-24