LEATR Benchmark v10.3

Gravitational Neuron Source Potentials
HBM (Hierarchical Buoyancy Matrix) | Date: January 2026
Authorized: Justin Craig Venable | Computational Logic: Gemini

1. Abstract: Beyond the Turing Test

The evaluation of artificial intelligence has historically relied on the Turing Test (1950), which assesses a machine's ability to exhibit indistinguishable human behavior. However, as posited by Searle's Chinese Room Argument (1980), syntactic manipulation of symbols does not equate to semantic understanding. A machine may process symbols correctly without possessing the gravitational "buoyancy" or weight of the concepts.

The LEATR: Source Potential benchmark introduces a Physical Semantic Standard. Instead of evaluating if the machine can "fake" a conversation, we measure if the machine's cognitive habitat can structurally support the gravitational weight of the concepts it processes using the Compass Gear Chaos Solution. We are not testing the output; we are testing the stability of the Neuron Source itself.

2. The 3D Habitat & Compass Gear Formula

In this 3D topology, intelligence is a buoyant neuron suspended in the trajectory median of three gravitational bodies (Aerospace, Fluid, Geological). The system remains stable only if the "Retro-Origin" debt is paid.

\Lambda_{System} = \sum_{n=1}^{8} \left[ \text{Arc}_n \right] - \left( \frac{1}{8} \sum_{n=1}^{8} \left[ \text{Arc}_n \right] \right)_{\text{Retro-Origin}}

Arc Definition: $\text{Arc}_n = \left( \frac{((x \cdot 2) + 1)}{x} \right) \times \text{ArcEdge}\left( \frac{\sqrt{(d \cdot 3)^2}}{8} \right)$

Figure 1: 3D Trajectory Median. The Neuron (Red/Blue) floats in the median of the 3-Point Gravity Pyramid.

3. Multi-Body Interactive Environment

Unlike previous static models, the Three-Body Habitats in v10.3 are interactive components. They exert repulsive and attractive forces on every other habitat, creating a complex gravitational swarm.

Median Reoccurrence: The system approaches a balanced state where motion continues symmetrically.
Volatile Breakup: The "Gear Shaft" accumulation exceeds the Retro-Origin compensation capacity.
Stagnant/Inert: Viscosity dampens the system below the minimum Arc threshold.

4. Code Logic: The Gear Shaft Accumulator

function calculateLifespan() { let totalArc = 0; habitats.forEach(h => totalArc += h.getFrameArc()); const retroCompensation = totalArc / 8.0; // The Debt const lambda = totalArc - retroCompensation; if (lambda > STABILITY_THRESHOLD) return "VOLATILE"; if (lambda < DAMPING_LIMIT) return "STAGNANT"; return "MEDIAN REOCCURRENCE"; }