A causal-history experiment in Flow Lenia

Order becomes memory.

The same number of high and low information-directed pulses, delivered in a different temporal order, moved the organism into a different region of its causal future. The future cloud moved; its size barely changed.

30 organic ancestors4 feedback histories each1,080 untouched futures8 matched challenges + continuation
The result

The organism kept a memory of how it was driven.

Seven passages after the last pulse, alternating and blocked histories were already 0.156 Hellinger units apart. Later, under both free continuation and eight identical challenge seeds, that separation had grown to 0.341. Every ancestor showed the split.

State split at q56

0.15695% bootstrap [0.148, 0.165] · 30/30 nonzero

Later future-cloud split

0.34195% bootstrap [0.311, 0.371]

Amplification

2.25×95% bootstrap [2.08, 2.41]

Cloud shift / cloud width

1.01×The displacement was about one entire repertoire width
What changed

Same counts. Same beginning. Same ending. Different syntax.

Each pair began from the exact same q32 organism. Within an ending direction, both branches received the same number of high and low score-seeking pulses and shared the same first and last direction. Only the order of the middle instructions changed.

Ending high

Three high-seeking and two low-seeking decisions.

Alternating
HLHLH
Blocked
HHLLH

Ending low

Two high-seeking and three low-seeking decisions.

Alternating
LHLHL
Blocked
LLHHL

Because this was closed-loop feedback, “high” and “low” selected actions from the organism’s current state. The physical seed sequence could therefore diverge. That is the point: we changed the temporal grammar of feedback, not merely replayed an open-loop seed list.

What kind of memory?

Location changed. Volume did not.

A causal repertoire has at least two distinct properties: how broad it is, and where it sits in form-space. Our frozen prediction expected alternating feedback to preserve more breadth. It did not. The larger discovery is that order translated the whole repertoire instead.

Breadth: nearly unchanged
Location: separated by one cloud-width

Alternating − blocked breadth

-0.004795% bootstrap [-0.0117, 0.0020] · 15 positive / 15 negative

Distance-matrix correlation

0.07795% bootstrap [0.024, 0.130] · causal geometry was largely rewritten

Challenge-rank correlation

0.06095% bootstrap [-0.040, 0.161] · weak action-response correspondence

Same strongest challenge

20%Only 12 of 60 ending-specific comparisons
One representative ancestor

The split survives release.

These are the ending-high branches of harmonic-cell-0173 (source 12), selected as the median ancestor by immediate history separation—not as an extreme example. The left pair is shortly after the pulse train; the right pair is the later unchallenged continuation.

Flow Lenia field for Alternating · q56
Alternating · q56
Flow Lenia field for Blocked · q56
Blocked · q56
Flow Lenia field for Alternating · later continuation
Alternating · later continuation
Flow Lenia field for Blocked · later continuation
Blocked · later continuation
The new picture

The future has a position, not only a size.

Flow Lenia does not merely remember whether it was pushed “up” or “down.” It remembers the temporal arrangement of those pushes, and carries that history into the organization of its later possibilities.

What this adds

Our previous swing found that future-form breadth was already broad and fairly stable across age. This swing explains how commitment can still happen: the organism can move between different repertoires of similar size.

That is a cleaner model of developmental memory than a single scalar becoming larger or smaller. The causal landscape itself is being translated and weakly remapped.

Where this points

The next direct swings are obvious now.

  • ReplayReplay the exact physical action sequences open-loop. If the split weakens, the memory belongs to closed-loop feedback; if it remains, the action history itself is sufficient.
  • LoopDrive high → low → high and low → high → low through the same score range. A failure to retrace the same causal repertoire would be strict hysteresis.
  • TranslateMeasure repertoire position continuously during development, not only repertoire width. We may find the state turning into a new basin before morphology visibly changes.
  • BirthAsk whether a sudden repertoire translation precedes identity turnover, ecological succession, fission, or the appearance of an organism-like body.