Patent Pending  ·  U.S. Prov. App. No. 64/018,462

The Future of
Spatial Computing

A patent pending mathematical framework that unifies spatial audio, 3D computing, robotics, AI, spacetime physics, and more under one symmetric architecture.

DEEP TECH Durable Wide Moat IP Based On Our Exclusive
FUNDAMENTAL ALGORITHMIC ANALYTIC GEOMETRIC BREAKTHROUGHS

Spatial computing is fragmented
by design.

Every major spatial platform reinvents coordinate handling. There is no universal spatial language — until now.

Coordinate Chaos

Today's spatial systems juggle Cartesian, spherical, quaternion, and ad hoc formats. Every conversion burns cycles and introduces error.

Axis Bias

Cartesian coordinates privilege X, Y, Z — creating artifacts that are properties of the math, not the physics.

Audio Asymmetry

Dominant spatial audio formats put 50% of energy in one channel, wasting bits and creating quantization noise.

Four directions. Not three axes.

A regular tetrahedron provides four perfectly symmetric directions from a center — no axis preferred, no direction privileged. Quadaia encodes all spatial quantities using this symmetric basis, resulting in a unified representation across audio, geometry, physics, and AI.

Conventional
  • X, Y, Z — privileged axes
  • Signed values (±) required
  • Multiple incompatible formats
Quadaia
  • Tetrahedral — no axis preferred
  • All values can be non-negative
  • One unified representation

One core. Many domains.

The same mathematical primitives power every domain — spatial audio, 3D computing, AI, quantum simulation, and spacetime physics.

Spatial Audio

TetSounds — a production-ready codec with perfect channel symmetry.

3D Computing

Collision, pathfinding, and mesh processing with fewer operations.

Spatial AI

Native spatial tokenization and isotropic attention for LLMs and robotics.

Vector Search

Exact integer similarity search for embedding databases — hardware-independent.

Quantum Simulation

Hybrid architectures for classical quantum simulation using the same primitives.

Spacetime

Lorentzian computation — geodesics, relativistic simulation, validated against GR.

Technical architecture and benchmarks available under NDA.

A convergence of massive markets.

$18.2B
Spatial Audio by 2033
18.7% CAGR
$8.7B
3D Audio in 2026
11% CAGR
$946B
Spatial Computing by 2033
21.7% CAGR
Spatial computing going mainstream — Apple Vision Pro, Meta Quest, automotive
62% of premium vehicles now ship with spatial audio
AI spatial understanding growing at 43% CAGR

Darrel Lloyd Jarmusch

"Not a startup experiment — a lifetime's work entering its commercial phase."
45 Years of R&D
Original mathematical insight in 1981. Continuous development through independent research.
BA Philosophy, UC Berkeley
Deep background in philosophy of mind, mathematics, and physics.
U.S. Army Veteran
Prior Patent Holder
U.S. Patent 5,825,836 (1998) — Tetrahedral Colliding-Beam Nuclear Fusion.

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