1,023 futures · full 3×3 prime/test matrix · 16 unforced steps

The body remembers
in depth.

Give the mature Flow Lenia body the same two doses in opposite order. After subtracting each dose alone and the untreated future, the paths are still different. The history is stored in whether the next response reaches the surface or the dense core.

+1.830.5→4 minus 4→0.5 dense-core microcomponents
-1.00same equal-dose order contrast at the surface
+2.83order-dependent separation between core and surface
7/8family groups with positive depth separation
01 / The causal question

Does the first regime change how the second is decoded?

Each body received a prime, sixteen unforced steps, then a test. Prime and test could be absent, 0.5×, or 4×. The full matrix lets us subtract prime alone, test alone, and the untreated future.

prime
none · 0.5× · 4×
16 steps
no intervention
test
none · 0.5× · 4×

The nonlinear residue is what neither dose can do alone. Then we compare 0.5→4 against 4→0.5. Both paths carry exactly the same total absolute dose.

02 / The memory trace

One path reaches inward. The other stays near the surface.

The 0.5→4 path creates a direction-specific dense-core synergy of +1.818. The reverse path creates -0.011. At the surface, their ordering flips.

-1.0+0.0+1.0+2.0+3.00.5 → 44 → 0.5surface 13/255dense core 51/255
-2.0+0.0+2.0+4.0surfacedense coredepth separation

Surface memory

-1.003 [-1.885, -0.022]

Reversing the dose order reverses the surface-weighted part of the response.

Dense-core memory

+1.829 [+0.600, +3.018]

Seven of eight family groups carry the inward shift.

Depth separation

+2.832 [+0.971, +4.359]

The strongest summary: equal total dose, different causal depth.

The body does not merely remember that it was perturbed. It remembers which response regime came first, and expresses the next perturbation at a different physical depth.

03 / What kind of memory?

Connectivity remembers specifically. Size mostly remembers timing.

Radius also differs between the two paths: native order gives -0.077, but the orthogonal control gives almost the same -0.074. Their direction-specific difference is only -0.003 [-0.067, +0.057].

Information-specific memory

density depth

Surface and dense-core connectivity carry the privileged-direction order interaction.

Generic temporal memory

overall radius

Both native and orthogonal perturbations remember amplitude order similarly.

0.5 → 4 Flow Lenia body
0.5 → 4
raw field
0.5 → 4 surface component map
0.5 → 4
surface · 13/255
0.5 → 4 dense-core component map
0.5 → 4
dense core · 51/255
4 → 0.5 Flow Lenia body
4 → 0.5
raw field
4 → 0.5 surface component map
4 → 0.5
surface · 13/255
4 → 0.5 dense-core component map
4 → 0.5
dense core · 51/255

A fixed illustration from source 01, native cancel-first, release +32. Cream is the largest connected body, cyan a detached component carrying at least 0.25% of field mass, orange a smaller fragment. The statistical result uses all 31 organisms, both causal orders, and the orthogonal direction control.

That distinction matters. The information direction is not just a stronger shove. Its specific history is written into the body’s stratified connectivity.

04 / The fission bridge

Ending at the surface opens a daughter-state window.

For immediate entry into a ≥5%-mass secondary-body state, 0.5→4 minus 4→0.5 is -22.9 percentage points [-40.6, -4.2]. In plain words: the path ending in the low topological dose is more likely to enter the daughter-like state than the path ending in the high expansion dose, after removing both single-dose effects.

The same order that leaves the response near the surface also makes transient macroscopic separation more accessible. That is our first direct bridge from information history → density topology → daughter-state entry.

05 / The next direct swing

How long does the body remember?

Gap duration

Repeat the equal-dose cross at 0, 16, 32, 64, and 128 unforced steps. Map the decay—or consolidation—of the depth trace.

Read the hidden state

Measure density-shell connectivity immediately before the second pulse and ask which state variable predicts how deep the response will go.

Follow daughters

Track whether surface-biased memory precedes stable mass separation, independent motion, or reintegration.

The bold possibility is no longer abstract: a Flow Lenia organism may carry a short developmental memory in its physical stratification, and that memory may choose whether the next information-geometric event becomes surface remodeling, core reorganization, or fission.