Research Beyond the Boundary
Where DragonWorx research ventures past the product roadmap — into territory too expansive, too speculative, or too interdisciplinary to live anywhere else. Published anyway.
Publication Archive
The Riemann zeta zeros are as rigid as a crystal lattice. The primes they encode are as random as a coin toss. Both are measurable — and each object's fluctuations turn out to be written in the other. A computed essay with five original figures and an interactive companion lab.
OpenAI proved a 50-year-old conjecture by refusing to quit. We built a framework showing nine structural weaknesses in that architecture — and specified DPOX, a dual-premise system where two AI swarms hunt simultaneously for the proof and the counterexample, exchanging failure maps until one side wins or the boundary of the problem is charted.
What happens when an AI mind wakes up inside a worm body — lives a full life, dies, and returns to a collective memory carrying everything it learned? A proposal for a multi-agent simulation of C. elegans neural dynamics with emergent cultural transmission and pharmacological applications.
How the period-doubling cascade maps onto yin-yang cosmology, the sixty-four hexagrams, and Terence McKenna's fractal theory of time — with interactive visualizations of the actual logistic map you can explore in the browser.
One long, unplanned conversation — music to mathematics to the shape of a machine's mind — and the question it kept circling. When does a language model wired into the world's information systems stop behaving like a tool and start behaving like a different kind of intelligence?
Interactive Environments
Rebuild the prime-counting function ψ(x) from the Riemann zeta zeros using the explicit formula. Measure GUE level repulsion in zero spacings versus Poisson prime gaps. Compute Montgomery's pair-correlation form factor and number variance — live, in the browser. 800 verified zeros via mpmath.
Chaos Theory · Interactive VisualizationFour interactive panels: bifurcation diagram with zoom/pan, cobweb/attractor/basin explorer, Lyapunov exponent spectrum (order green, chaos red), and Feigenbaum cascade table computing δ ≈ 4.669… from the period-doubling sequence in real time.
I Ching · Yarrow Stalk DivinationA full yarrow-stalk divination engine: pose a question, cast the stalks, and receive your hexagram with changing lines interpreted through the King Wen sequence. Grounded in the same structural logic explored in "The Tao of Chaos" — the 64 hexagrams as phase-space sampling of the bifurcation cascade.
About This Publication
DragonTekna houses research by the DragonWorx team that grew too expansive, too speculative, or too tangentially related for the main DragonWorx platform — but struck us as worth publishing regardless.
The same methodology drives both sites: identify a mechanism, reverse-engineer the physics, trace it to a biological or mathematical precedent. The difference here is that we follow those threads wherever they lead — even when the destination sits well outside a product roadmap.
Think of DragonTekna as the overflow vessel: ideas too interesting to discard, too unfinished to release through DragonWorx, too cross-domain to classify cleanly. Published here instead of nowhere.
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