§ 3.5

Research

Open reformulation programs, illustrative diagnostic reports, and companion projects — alongside the latest research updates and findings.

Open programs

Six ongoing programs reformulating well-known problems in TNFR terms.

ProgramLatest milestoneStatusNotes
TNFR-RiemannP12–P49 (ζ ↔ L attack surface)OPEN — gap G4 (T-HP)σ_c → 1/2 verified; paused at S(T)
REMESH-∞ closureBranch A (N15)CLOSED13-operator catalog closed under τ_g → ∞ limit
TNFR-Navier–StokesDiffusive projection VALIDOPEN — Clay bound unresolvedPeak enstrophy debt bounded at fixed Re
Number theoryCyclotomy law provedACTIVEPrimality as ΔNFR = 0; arithmetic pulse
Millennium reformulationsP vs NP, BSD, Hodge, Yang–MillsEARLYTNFR-internal structural reformulations

Reports

Each report ships with the exact build task needed to regenerate it.

Interaction Sequences

Illustrative operator sequences.

./make.cmd report-interaction-sequences

Emergent Particles

Emergent-pattern detection report.

./make.cmd report-emergent-particles

Fundamental Particles Atlas

Particle-scale TNFR diagnostics.

./make.cmd report-fundamental-particles

Latest Research

No research updates found for this category.