Manuscripts

[206Innovation]

PRESS RELEASE — FOR IMMEDIATE RELEASE
Bellevue, Washington — March 13, 2026

Timothy J. Dillon Releases Omega–Genesis: A Structural Proof Program for the Collatz Conjecture — Published Openly on GitHub

Timothy J. Dillon today released Omega–Genesis, a structural proof program for the Collatz conjecture built on the compressed odd dynamical map
U(n)=\frac{3n+1}{2^{v_2(3n+1)}}.

Omega–Genesis replaces brute-force enumeration with a regime-based structural reduction. The work classifies all remaining hypothetical non-convergent behavior into four residual families and eliminates them through exact structural and arithmetic constraints, concluding universal convergence to the classical cycle {1,2,4}.

The complete manuscript, referee guide, and supporting materials are published openly on GitHub with versioned releases and a transparent change log.

“This is mathematics,” said Dillon. “The proof stands on its own structure. I’m publishing it openly so it can be read, tested, and judged on the argument.”

What Omega–Genesis Introduces
• A structural reduction of Collatz dynamics under the compressed odd map
• A theorem spine governing regime behavior and contraction mechanisms
• A four-family endgame classification with explicit elimination logic
• A full public release package with reviewer navigation aids and reproducibility posture

Availability

Omega–Genesis is publicly available on GitHub.

Media / Review Contact
Timothy J. Dillon
206 Innovation Inc.
Bellevue, Washington

LinkedIn Post (confident / celebratory / you)

I’m sharing something I’m proud of.

I released Omega–Genesis, my structural proof program for the Collatz conjecture, built on the compressed odd map
U(n)=\frac{3n+1}{2^{v_2(3n+1)}}.

This work replaces brute-force enumeration with structural reduction: regime classification, theorem spine constraints, and a four-family endgame architecture that closes the remaining obstruction and concludes universal convergence to {1,2,4}.

A lot of people across my professional circles have already reached out with congratulations — thank you. I appreciate it. And I’m publishing the work openly on GitHub because mathematics should be judged on the argument itself.

If you want to engage it, do it the right way: cite the theorem/section/line and make the critique precise.

This is math. The structure speaks.

#Mathematics #NumberTheory #DiscreteMath #DynamicalSystems #Collatz #OpenReview #GitHub #PredictiveGeometry #OmegaCalculus #Curvature

X Post (short + confident)

I released Omega–Genesis: my structural proof program for the Collatz conjecture.

No gatekeeping. No politics.
Just the argument — published openly on GitHub.

If you critique it, do it precisely: theorem/section/line.

#Collatz #Math #NumberTheory #DiscreteMath #OpenReview #GitHub

Facebook Post (strong + warm + confident)

Big moment for me: I released Omega–Genesis, my structural proof program for the Collatz conjecture.

I’ve received a lot of congratulations from friends and professionals across my world — thank you. I’m grateful, and I’m proud of what I built.

I’m publishing the full work openly on GitHub because mathematics is not a private club. It’s structure. It’s logic. It’s truth by argument.

If you want to engage it, bring real critique: cite the theorem/section/line and be precise. Otherwise, enjoy the read.

#Mathematics #Collatz #NumberTheory #DynamicalSystems #OpenScience #GitHub #OmegaGenesis

Hashtags (pick 10–14)

#Mathematics #Collatz #NumberTheory #DiscreteMath #DynamicalSystems #MathProof #OpenReview #GitHub #IndependentResearch #PredictiveGeometry #OmegaCalculus #Curvature #ScientificMethod #Innovation