C6C Gear Probe
A CAELIX experiment in single-voxel 1:1:4 gear projection, signed C6 face response and spin-induced anisotropy
Run Experiment
Open the live browser experiment as a single-run view.
What Is It?
This experiment isolates a single centre-coupled C6C voxel inside a 27³ C6 carrier. The voxel carries a six-channel 1:1:4 register: one axial spin channel, one precession channel and four centred tetrahedral body channels.
The purpose is deliberately narrow. It tests how one geared voxel projects signed internal register state into the six causal faces of the C6 carrier. It does not try to make a single voxel behave like a complete rotating body.
What It Tests
The primary question is whether the canonical 1:1:4 reaction equation produces a readable, signed C6 face response. Static mode shows the current reaction projection. Rotate mode uses the same reaction vector as a visual spin axis for a body-fixed marker pattern.
The experiment exposes the single-voxel directional deficit. The four tetrahedral body gears can form a balanced internal basis, but axial spin and precession introduce privileged directions. A single voxel cannot remove that bias. A larger bonded shell would have to compensate it geometrically.
How It Works
The static reaction equation is:
Fx = P + B1 - B2 - B3 + B4
Fy = B1 - B2 + B3 - B4
Fz = A + B1 + B2 - B3 - B4
The carrier receives the signed vector through its six faces: +X and -X receive opposing Fx, +Y and -Y receive opposing Fy, and +Z and -Z receive opposing Fz. The face indicators show the current signed face direction rather than accumulated carrier history.
The visual sphere is a diagnostic shell, not a physical single-voxel body. Static mode colours the reaction cone from the signed vector. Rotate mode suppresses the static cone and shows a brighter body-fixed marker rotating around the same reaction axis.
What Is Not Hard-Coded
- No D3Q or LBM population model is used.
- No fluid carrier is used.
- No multi-voxel closure shell is imposed.
- No phase-trig source law is used for the canonical reaction.
- The rendered sphere is a diagnostic display, not a claim that one voxel is a literal sphere.
The experiment is a primitive gear-projection test. It is designed to expose the tap before attempting water, shells or matter-like closure.
Why It Matters
The probe separates the geared voxel from the later body problem. It shows that the four body channels can be treated as a balanced tetrahedral basis, while axial spin and precession create directional stress that a single voxel cannot hide.
That failure is useful. It suggests that stable CAELIX bodies may require bonded C6 skins or shell structures capable of distributing local voxel bias across geometry. A single C6C voxel is a geared source. A body begins when a causal shell can compensate what the source cannot.