Voxel Gear Interaction Lab

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What Is It?

This experiment places mobile geared bodies inside a bounded integer 3D field slab. Each body carries position, burden, inertia and a six-channel register: one axial channel, one precession channel and four centred body channels. The register is converted into a canonical 1:1:4 reaction vector before it is stamped into the field.

The rendered gyroballs are glyphs for the internal register. They are not the physical defect size. Core radius, stamp radius, draw radius and measurement-shell radius are separate quantities. Contact radius is derived from the draw radius, while the field response is measured elsewhere.

What It Tests

The primary question is whether full 1:1:4 coupling produces interaction signatures that remain separable from the controls. The experiment compares passive behaviour, mechanically decoupled x:x:x behaviour, axial coupling, axial-plus-precession coupling and full 1:1:4 coupling.

The test matrix also changes object count and field depth. Fixed sets of 1, 2, 4 and 9 bodies are available, along with seeded random sets. Field depth can be set to z = 1, 3, 7 or 11. If full coupling is indistinguishable from axial or off modes, the register is not yet doing useful work. That is the falsifier, plain and useful.

How It Works

Each body stamps burden and a canonical geared reaction source into the bounded integer field. The reaction vector is computed from the current 1:1:4 register state: axial A contributes to Z, precession P contributes to X, and the four body channels project through the tetrahedral basis. The field evolves through a local six-neighbour Laplacian with bounded balanced-ternary discipline, damping, source injection and hidden-band drain.

The field and clamp response feed back into gear loads through the same canonical register basis. Axial, precession and body-channel projections are measured on a shell around each object. Persistent load can promote or damp the centred trit register values, while contact events can transfer signed register slip into field kickback and contact momentum.

Soft contact is deliberately not elastic billiards. It includes register transfer, contact momentum, field kickback and gear-slip effects. Compatible gears can reduce contact repulsion or create weak binding, with compatibility now measured by canonical reaction-vector alignment rather than decorative phase matching.

What Is Not Hard-Coded

• No inverse-square gravity is used.
• No periodic wrap is used.
• No imposed closure shell is used.
• The gyroball glyph is not treated as the physical field object.
• Per-voxel shell gearing is not implemented in this browser version.

The experiment is a body-level geared-register lab coupled to a voxel field. It tests separability, contact transfer and depth survival, not a finished particle ontology.

Why It Matters

Voxel gearing is one of the stronger bridges between CAELIX geometry and CAELIX dynamics. It gives a burdened body more than a position and a scalar mass-like term. The body has an internal rotational register that can load, slip, transfer and respond to field structure.

The value of the experiment is not that the 1:1:4 register is assumed to be correct. The value is that it can fail visibly. If depth, object count and coupling mode do not produce separable signatures, the model has not earned its keep. If they do, the register becomes a candidate mechanism for more serious SE/PE body interaction work.