Geared Closure

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Open the live browser experiment as a single-run view.

Run Geared Closure

What Is It?

This experiment is the first working CAELIX black-hole analogue. It does not claim to simulate a physical black hole. It tests whether a burdened core inside a thin-slab balanced-ternary integer field can form a stable closure shell under external wave forcing.

The observable is not an event horizon painted into the image. The closure shell is measured from clamp saturation: cells where the bounded integer register overflows and absorption is recorded. In this experiment, failed outward recoverability is the thing being measured.

What It Tests

The experiment asks whether closure forms lawfully when waves enter a high-burden region, slow, amplify and saturate against the balanced-ternary register limit. It also asks whether the six-gear 1:1:4 register tracks that closure as more than decorative bookkeeping.

Eight modes test the mechanism from several angles: baseline propagation, static burden, probe launches, precession, slow merger, fast merger, slow spin and fast spin. Spin modes are useful because tangential velocity coupling converts radial build-up into shear around the closure shell, making D4 residue and circularity easier to diagnose.

How It Works

The field is stored as integer φ and velocity-like registers on a slab-native 3D array. The current browser version uses nz = 1, so the six-neighbour integer Laplacian collapses correctly to four-neighbour behaviour in the thin slab while preserving the 3D storage contract.

Burden is a separate imposed field. It is not part of φ. High burden slows propagation and provides parametric amplification. The field grows until it meets the balanced-ternary clamp limit. Clamp events are accumulated directly and become the closure map.

The core also carries a six-gear register: one axial gear, one precession gear and four signed body-orientation gears. Gear speed reports applied phase advance. Gear load reports unsigned closure and clamp burden on those channels.

Gear Honesty

The 1:1:4 register in this browser experiment is a prototype instrument, not the final native gear algebra. The axial gear tracks spin-related loading. The precession gear can move the imposed burden well in precession mode. The four body gears are displayed as signed internal body channels with paired phase advance and clamp-load slowdown.

The body-channel phases do not yet feed back into the field law. That is deliberate honesty, not a hidden success. The experiment records the register response while marking which parts of the mechanism are coupled and which parts are still display-side instrumentation.

What Is Not Hard-Coded

• No continuum black-hole metric is supplied.
• No event horizon is drawn by rule.
• No smooth scalar cutoff hides register overflow.
• No analytic continuum PDE is invented for the field update.
• No burden summation creates an artificial merged object in merger modes.

The closure shell is measured from integer clamp events. Burden biases transport and amplification, but it is not itself the black-hole object.

Why It Matters

Geared Closure is a hard diagnostic because it can fail in useful ways. If clamp saturation never organises into a shell, the core has no closure. If spin only makes a prettier picture without lawful metric change, the gear register is decorative. If merger behaviour changes abruptly at a grid threshold, the substrate geometry has exposed a real failure mode.

For CAELIX, the experiment is a bridge between bounded integer transport, burdened-body dynamics and the later native Rust/Metal runtime. It gives the project a measured closure observable, not a black disc with a dramatic name. A mercy, frankly.