Research_

Active problem-solving attempts on open problems in mathematics and physics.

Papers

Millennium Problems

Results

Verified

Partial

These are not summaries. They are attempts to push toward solutions. Each document identifies a specific open problem, works through the mathematics, and states exactly where the argument succeeds, where it fails, and what would close the gap. Every claim is sourced. Every step is labeled as established, proposed, or speculative.

SMT Verification of Magic State Distillation Scales Linearly with Circuit Size
computation RESULT September 24, 2026 9 sources Quantum Error Correction / Formal Verification
Closing the Nonlinear Bootstrap for Unforced Navier-Stokes Blow-Up
proof VERIFIED September 23-24, 2026 12 sources Navier-Stokes Millennium Problem / Statement A
Unforced Blow-Up via Stable Manifold Projection on the OpenAI Profile
proof-strategy COMPLETE September 23, 2026 7 sources Navier-Stokes Millennium Problem
Spectral Instability of the OpenAI Blow-Up Profile on the Symmetry Plane
computation RESULT September 23, 2026 6 sources Navier-Stokes Millennium Problem
The Yakaboylu Weight Operator Is Indefinite: Numerical Evidence Against Self-Adjointness of the Hilbert-Polya Hamiltonian
computation RESULT September 23, 2026 4 sources Riemann Hypothesis / Hilbert-Polya Conjecture
On the Stability of the OpenAI Blow-Up Profile Under Removal of the Flat Force: Can Statements A and B Be Extracted from C and D?
proof-strategy PARTIAL September 22, 2026 10 sources Navier-Stokes Millennium Problem
Three Paths to the Riemann Hypothesis: Do Berry-Keating, Bost-Connes, and Yakaboylu Converge?
bridge-construction PARTIAL September 22, 2026 11 sources Riemann Hypothesis Millennium Problem
The Muon g-2 Hadronic Vacuum Polarization Discrepancy: Localizing the Error in the Light-Quark Connected Intermediate Window
contradiction-resolution PARTIAL September 22, 2026 12 sources Muon g-2 / Standard Model
Does the Kondo-Breakdown Vertex Mechanism Generalize to Flat-Band d-Electron Systems? A Test Case in Pressurized La₃Ni₂O₇
bridge-construction PARTIAL September 22, 2026 9 sources Strange Metal Transport / Unconventional Superconductivity
Do Smooth Global Solutions Exist for the Three-Dimensional Navier-Stokes Equations? Evaluating Mathematical Rigor, AI-Driven Claims, and Physical Model Limits
proof-strategy PARTIAL September 21, 2026 11 sources Navier-Stokes Millennium Problem