The same twelve hidden phase fields across every organism

A private language.
One traveling word.

Whole phase-direction rankings do not transfer across bodies. But one field repeatedly biases development toward expansion and away from compactification. Flow Lenia’s hidden syntax looks mostly individualized, with a candidate shared axis embedded inside it.

06expansion field selected in all 16 held-out-family folds
+0.300unseen-family expansion gain over its average field
94.6%polarity percentile after destroying shared labels
≈ 0whole-rank similarity across unrelated bodies
01 / The finding

There is no universal dictionary of phase directions.

Across unrelated families, the full twelve-field rank ordering is essentially uncorrelated: -0.007 for expansion and -0.008 for compactification.

That means “field 03 is good, field 08 is bad” is not generally true. Most of a field’s meaning comes from how it meets one organism’s own hidden composition, body geometry, and developmental flow.

But the dictionary is not completely private. Field 06 keeps surfacing as a signed expansion axis.

02 / Field 06

The same hidden field points toward expansion across families.

-0.4-0.2+0.0+0.2+0.4field 01field 02field 03field 04field 05field 06field 07field 08field 09field 10field 11field 12expansioncompactificationeach field’s q128 effect relative to the twelve-field mean for that developmental direction

HELD-OUT EXPANSION

+0.300

[+0.027, +0.580]; positive in 11 of 16 families.

HELD-OUT COMPACTIFICATION

-0.257

[-0.626, +0.085]; the same field tends to suppress the reciprocal direction.

SIGNED POLARITY

+0.556

[-0.025, +1.181]; positive in 12 of 16 families.

Each held-out family was omitted before field selection. The other fifteen families selected field 06 in every fold. The field was then scored only in the omitted family.

03 / The private grammar

Compactification does not share a winner—it anti-generalizes.

BEST-ELSEWHERE FIELD IN A NEW FAMILY

-0.380

[-0.553, -0.227]; only 1 of 16 families improve.

WHY THIS MATTERS

For compactification, the field favored by the other families is systematically a poor choice in the omitted family. Its useful directions are body-specific, not merely noisy versions of one universal ranking.

The hidden code is neither a universal program nor arbitrary noise. It is an interaction language: mostly private syntax around a few possible shared axes.

04 / Did selection fool us?

Destroy only direction identity and ask how surprising the transfer is.

-0.8-0.4+0.0+0.4+0.8expansion transferobserved +0.300 · percentile 92.0compactification transferobserved -0.380 · percentile 4.4signed polarityobserved +0.556 · percentile 94.6gray: central 95% after destroying only cross-family direction identity · 20,000 relabelings

The gray ranges come from 20,000 relabelings. Every family keeps its exact twelve outcomes; only the claim that “field 06 here is field 06 there” is destroyed. The expansion effect is at the 92.0th percentile, compactification anti-transfer at the 4.4th, and signed expansion polarity at the 94.6th.

The expansion candidate is compelling but not yet isolated from all chance vocabularies. An independent local-label atlas even produced one accidental transferable-looking compactification label (+0.325). That is why field 06 now goes to new organisms.

05 / The next direct swing

Take the word outside the language class where we found it.

Apply field 06 to a genuinely fresh organism cohort, alongside new shared fields and independent local scrambles. Ask only whether it preserves its signed expansion-over-compactification polarity.

If it does, we have a transferable developmental coordinate. Then rotate, reflect, translate, and partially dose that field to learn its geometric meaning. If it does not, the apparent word was a cohort-specific coincidence—and the stronger discovery is individualized developmental memory.

Either way, the next experiment tells us what kind of code this is.