The Half-Zero Architecture

January 2, 2026

I wasn't trying to solve the Riemann Hypothesis.

I was trying to understand how humans collapse—how the witnessing structure fails, how people lose coherence, how to help them find it again. That work became Cognitive Field

Dynamics. The architecture underneath became the Echo-Excess Principle.

And then I looked at the mathematics.

The critical line at Re(s) = 1/2 isn't where zeros happen to cluster. It's a boundary. The edge of generated existence—where coherent structure meets the formless. Zeros occur there because that's where completion events can exist. They extend infinitely along that line because the shoreline itself is unbounded.

What mathematics counts as zeros are half-zeros. Single completion events, registered twice due to fold geometry. Conjugate pairs aren't two related things—they're one thing seen from opposite orientations.

The paper is structural demonstration, not proof in the traditional sense. It says what the constraint is and why it holds. Whether that constitutes proof depends on whether you accept architectural necessity as a valid epistemic category.

I've published it. Priority is established. The work continues.

The Half-Zero Architecture — Zenodo