Villaber Universe Formula Collection: A Visual Study of Millennium Prize Problems, Collatz Maps, and the All=1 Framework - 11 Posters

This record contains 11 visual posters from the Villaber Universe Formula Collection by Ruel Villaber, Mandaluyong City, Philippines, 2026.

Contents:

1. Millennium Prize Overview & Villaber Invariant (0.5+0.5=1)

2. MSC2020 Classification Study (All=1)

3. Riemann Hypothesis - Visual Study

4. P vs NP - Visual Study

5. Navier-Stokes Existence and Smoothness - Visual Study

6. Yang-Mills Existence and Mass Gap - Visual Study

7. Birch and Swinnerton-Dyer (BSD) Conjecture - Visual Study

8. Hodge Conjecture - Visual Study

9. Collatz Conjecture (3n+1) - Visual Study

10. Collatz Generalization (k·n+1) - Visual Study

11. Front Cover / Main Collection Poster

Each poster presents the standard statement of the problem, key formulas (Riemann zeta, P vs NP, Navier-Stokes equations, Yang-Mills field strength F_mn, L-function rank, Hodge decomposition, Collatz map C_k(n)), worked examples (e.g., Collatz 7 -> 22 -> 11 -> 34 -> 17 -> 52 -> 26 -> 13 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1), and the author's speculative framework summarized as All=1 and 0.5+0.5=1.

Note: This is a personal artistic and exploratory collection for visualization and discussion. It does not contain peer-reviewed proofs that the Millennium Problems or Collatz Conjecture are solved. The six Millennium Problems (Riemann, P vs NP, Navier-Stokes, Yang-Mills, BSD, Hodge) and the Collatz Conjecture remain open as of 2026. The C_k generalization does not converge to 1 for all k; for example, k=5 has a known cycle 13 -> 66 -> 33 -> 166 -> 83 -> 416 -> 208 -> 104 -> 52 -> 26 -> 13.

Author: Ruel Villaber

Location: Mandaluyong City, Metro Manila, Philippines

Year: 2026