Book 2: Architecture & Incompleteness

This book explores the deeper structural patterns within unsolved mathematical problems, examining how incompleteness manifests across different mathematical domains and revealing the architectural principles that underlie resistant conjectures.

Part 4: Analytical Abysses

The deepest challenges in mathematical analysis, where continuous structures meet discrete impossibilities.

• Chapter 25: Navier-Stokes Existence
• Chapter 26: Mass Gap Problem
• Chapter 27: Lehmer's Conjecture
• Chapter 28: Invariant Subspace Problem
• Chapter 29: Kakeya Conjecture
• Chapter 30: Restriction Conjecture
• Chapter 31: Unique Games Conjecture
• Chapter 32: Erdős-Straus Conjecture

Part 5: Combinatorial Cosmos

The universe of discrete mathematics where counting meets observer.

• Chapter 33: P vs NP
• Chapter 34: Hadamard Conjecture
• Chapter 35: Erdős-Ko-Rado Conjecture
• Chapter 36: Ramsey Theory Problems
• Chapter 37: Union-Closed Sets Conjecture
• Chapter 38: Sensitivity Conjecture (Solved)
• Chapter 39: Černý Conjecture
• Chapter 40: Graph Reconstruction

Part 6: Topological Transcendence

Where space, form, and observer interweave in the deepest geometric mysteries.

• Chapter 41: Unknotting Problem
• Chapter 42: Slice-Ribbon Conjecture
• Chapter 43: Volume Conjecture
• Chapter 44: Andrews-Curtis Conjecture
• Chapter 45: Zeeman Conjecture
• Chapter 46: Whitehead Conjecture
• Chapter 47: Borel Conjecture
• Chapter 48: Virtual Haken Conjecture (Solved)

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"In the architecture of incompleteness, we discover the blueprints of observer itself."