# How much of a whole can a part carry?

When a small social or representational structure resembles a larger one, which information about the whole can actually be recovered?

Fractal repetition and holographic storage are invoked as neighboring analogies. A small group can reproduce some organizational patterns while differing in scale and detail.

Status: open problem. Formulation and comparisons: reconstruction. Development: active.

## Alternative representations

### Structural self-similarity

Affords: Compares repeated relations across scales.

Limits or losses: Does not imply recovery of all information in the larger system.

### Distributed information about a whole

Affords: Asks what a part can reconstruct.

Limits or losses: Needs an encoding and a recovery criterion; resemblance is insufficient.

## Tension

Repeated structure and recoverable information are different claims.

## Challenge

Which properties are transmitted through a part, and which require interactions among multiple parts?

This challenge is an editorial prompt, not a claim that the evidence already resolved it.

## Proposed next move

Select one organization pattern and distinguish a structural match test from an information-recovery test.

Status: new model-proposed experiment or extension; not a reported result.

## Related problems

- [Computing through a reusable surface](computation-through-a-surface.md) — shares a word with different meanings (retrospective_connection). Physical or computed surfaces and distributed social information can invite a holographic analogy, but they need separate encodings and validation.
- [What a partial trace can and cannot identify](identifiability-from-projections.md) — asks what is recoverable (retrospective_connection). A part that resembles a whole does not necessarily identify which whole produced it.

## Evidence anchors

- basis-part-whole-traces: The material explicitly compares fractals and holograms through the idea that a part carries information about a whole. Families, communities, and individuals are proposed as carrying or reproducing some features of a larger society without reproducing it exactly. [Editorial paraphrase; presence of a proposal does not verify its truth.]

Root evidence and private recovery mappings are not part of this public release.

[Open in the reader](../index.html#node=part-whole-traces) · [All problems](../CATALOG.md)