Sound Machines
7 instrumentsOM Machine
Continuous drone on the primordial tone
So-Ham Machine
Breath-cycle resonance — "I am That"
Pranayama Machine
Guided breathing with tonal entrainment
Wellness Soundworks
dm³ Soundworks therapeutic suite
G6 Drone Machine
Six-fold resonance at the G6 Crystal threshold g₆ = 33
Śrī Yantra Śakti Machine
Nine-triangle geometric resonance
Swarnakarshana Bhairava Machine
Tantric attractor — harmonic convergence
Exhibitions & Installations
4 worksCymatics with Machines
Cimática com Máquinas — bilingual interactive exhibition, XII Bienal SBM, UFRN, Natal 2026. Track T10.
Helical Attractor
Simulation of the helical attractor in contact manifolds — 3D browser animation
Ħal Saflieni Resonance
Archaeoacoustic study — eigenfunction analysis of the Hypogeum prehistoric space
229 Ballantine
Site-specific sound installation — Newark, NJ
XII Bienal SBM — Submissions
UFRN · Natal · Brazil · 2026| CO · T2 | CO_T2_Pablo_Grossi.pdf — Communication, Track T2 |
| Ex · T10 | Ex_T10_Pablo_Grossi.pdf — Exhibition proposal, Track T10 (Geometry and Topology) |
| MC · T1 | MC_T1_Pablo_Grossi.pdf — Minicurso, Track T1 — Atratores: dm³ Dynamics |
| MC · T1 v3 | MC_T1_Pablo_Grossi_v3.pdf — Minicurso revised |
| OF · T2 | OF_T2_Pablo_Grossi.pdf — Open Form, Track T2 |
| PO · T10 | PO_T10_Pablo_Grossi.pdf — Poster, Track T10 |
| Minicurso | Minicurso_XII_Bienal.pdf — Full minicurso booklet |
| Preview | XII_BM_MINICURSO_T1_Pablo_Grossi_preview.pdf |
| Helical | Helical Attractors Contact Manifolds.pdf |
| Abrasileirados | Abrasileirados/ — Supplementary folder |
Sessões de Ensino
3 sessões · bilíngue PT/ENBooks, Papers & Long-form
7 documentsCollatz Engineering
Engineering specification: dm³ axioms, G6 Crystal, AXLE Target 5. Python · Julia · Lean 4.
Collatz Engineering (PDF)
Zenodo DOI 10.5281/zenodo.19378742 — 18 pages
Livro 3 — Brasil
The Mini-Beast: Book 3 of Principia Orthogona — Portuguese edition
Principia Orthogona — 21 Papers
Full series index. doi.org/10.5281/zenodo.19117399
Capítulo E — GTCT
Chapter E of GTCT — Portuguese version
Chapter E — GTCT
Game Theory, Curvature, and Topology — Chapter E
Chapter η — DNLS
Discrete Nonlinear Schrödinger — Tribonacci/Tetrabonacci chain
Lean 4 / AXLE Formal Verification
3 targets · 0 sorrysA1Singularity.lean
A₁ ordinary double point as universal dm³ node. Bridges DM3-lab ↔ AXLE across seven physical instances.
PolarVortex.lean
Saturn north-polar vortex as dm³ inner fixed point. Three-layer structure: vortex · moat · hexagon.
SaturnRing.lean
Saturn ring system as dm³ limit cycle. Cassini Division 2:1 resonance. Dual resonance with G6 Crystal.
DNLS — Discrete Nonlinear Schrödinger
Tribonacci & Tetrabonacci chains| paper (PDF) | nbonacci_dnls_paper_with_figs.pdf |
| paper (TeX) | nbonacci_dnls_paper_with_figs.tex |
| Lean | FoldEvents.lean · TribonacciDNLS.lean |
| Python | dnls_nbonacci.py · diffusion_solver.py · generate_figures.py |
| Figures | fig1 chain structure · fig2 eigenstates · fig3 IPR vs λ · fig4 IPR ratio · fig5 substitution tree |
GCTC — Geometry · Criticality · Topology · Curvature
Tetrabonacci DNLS · finite-size scaling| Lean | Conformal.lean |
| Criticality | run_criticality_sweep.py — λ_c sweep · FSS finite-size scaling |
| Figures | criticality correlation · flux modes · saturation · D₂ natural lengths · FSS α vs N · FSS t_sat vs N |
| Data | λ_c_sweep.csv · tetrabonacci_T50_N500.csv · d2_natural_lengths.csv |
| Labs | dm3_numeric.py |
| Sessões | Sessão 1 — Geometria de Contato · Sessão 2 — Teorema da Bacia · Sessão 3 — Esqueleto Lean |
| Sims | Helical Attractor simulation |
EMMEs — Three Operator Tokens on Solana
G = U ∘ F ∘ K ∘ CGAME THEORY ·
THEORYThe Fold operator — rank-1 Jacobian loss — irreversible commitment
PROBABILITY ·
PROBABYThe Curvature operator — drives toward threshold κ*
PROPAGANDA! ·
PROPAGANThe Compression operator — reduces information to attention span
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