dm³ Soundworks — cajueiro machine: ocean and mangue resonance synthesizer by G6 LLC

G6 LLC · Newark NJ · 2026
github.com/DM3-lab
Anacardium occidentale · Pirangi · 8.500 m²
dm³ soundworks · mangue resonance machine

The Cajueiro
Holds.

Ocean. Mangrove. The first stable root before the canopy.
Eight archaeoacoustic frequencies. Synthesized in-browser.

— ready · click play to begin —

O Princípio do Cajueiro

The cajueiro de Pirangi — 20 km from the UFRN campus in Natal — covers more than 8,500 m² from a single trunk. Its branches touch the ground, re-root, and become new trunks. One organism. This is not a metaphor for the machine. It is the machine.

The dm³ soundworks synthesizes the acoustic environment where the cajueiro lives: the Atlantic mangue, tidal rhythms, the resonance frequencies documented from Malta to Giza to Chartres. All generated in-browser. No samples. Runs offline.

C → K → F → U → ∞ · the operator runs in the sound

ocean layer
Atlantic tide
Pink noise shaped to the tidal breath of the Rio Grande do Norte coast. 0.05 Hz swell envelope.
mangue layer
Mangrove pulse
Low filtered resonance at 40–80 Hz — the standing-wave frequency of a mangrove channel. Amplitude modulated at 0.12 Hz.
111 Hz · sacred
Hypogeum tone
The frequency documented in the Malta Hypogeum and Chavín de Huántar. Theta-range binaural beat at 6 Hz.
reeb helix
dm³ attractor
A sine tone at the Tribonacci constant η ≈ 1.8393 Hz — the dominant eigenvalue of the contact 3-manifold. Pitch-modulated by z(t).

Research & Formal Verification

The dm³ system — helical attractors on contact 3-manifolds — is formally verified in Lean 4 / Mathlib4 with zero axioms beyond the library. This soundworks machine is its acoustic instantiation.

Submitted to the XII Bienal da Sociedade Brasileira de Matemática, UFRN, Natal-RN, 3–7 agosto 2026. Minicurso: Atratores Helicoidais em Variedades de Contato.

Zenodo: 10.5281/zenodo.19117400
github.com/TOTOGT/AXLE · github.com/TOTOGT/GTCT
ORCID: 0009-0000-6496-2186