Benefit Emergence

A benefit appears only when carried structure makes a downstream decision local, bounded, or auditable. Theory →

Pattern

raw object -> structural representation -> low-cost invariant -> gate

Examples:

• source text becomes tokens, AST nodes, spans, and runtime values;
• scalar samples become delay-coordinate points;
• point clouds become persistence diagrams or Betti counts;
• point batches become block centroids, radii, variances, and concentrations;
• kernel state becomes a vector with a deviation threshold;
• binary data becomes a shape heuristic with rejection reasons.

The system benefit emerges from the gate:

• a parser can stop at the span that violates grammar;
• a topology call can fail before unbounded simplex expansion;
• a block query can prune a block when its upper bound is below threshold;
• a scheduler can skip work when state deviation is below epsilon;
• a benchmark policy can reject claims without artifacts.

Non-Claim

Not currently proven: general model-quality improvement, general security detection, hardware acceleration, asymptotic speedup over external libraries. Each needs benchmark artifacts, baselines, correctness metrics and environment records.

Engineering Rule

Aether docs should describe a benefit only through the mechanism that produces it:

representation + invariant + gate = claimed behavior

If one of those three parts is missing, the claim belongs in roadmap text.