FLOW LENIA · CAUSAL COMMITMENT REWRITE

The pulse becomes memory.

Two equal-sized spatial pulses, applied at the same developmental instant, write opposite information-geometric memories into the next seven passages.

Discovery: ancestral direction produces integrated causal memory +0.229 [0.053, 0.406]. The equal-magnitude forward direction produces −0.258 [−0.460, −0.063]. The physical move is the same size. Its causal direction determines what persists.
0.326 = 0.326exact equal pulse magnitude
+0.229ancestral causal memory
−0.258forward causal memory
+12.46 stepspassage 1 versus 3 formation
THE INTERVENTION

One state. Two directions. A third copy waits until after commitment.

At passage 1, while ancestral repair still helps, we split every organism three ways: no pulse, inverse ancestral pulse, and forward anti-direction pulse. The two pulses are exact inverse operators and have identical Hellinger magnitude in every organism. A fourth branch receives the ancestral pulse only at passage 3—after the commitment boundary.

PASSAGE 1
ancestral pulse
follow action-world through passage 8
PASSAGE 1
forward pulse
same magnitude, opposite spatial direction
PASSAGE 3
ancestral pulse
same operator, different developmental phase
passage 1
no pulse state at passage 1
no pulse
ancestral @ 1 state at passage 1
ancestral @ 1
forward @ 1 state at passage 1
forward @ 1
passage 8
no pulse state at passage 8
no pulse
ancestral @ 1 state at passage 8
ancestral @ 1
forward @ 1 state at passage 8
forward @ 1
ancestral @ 3 state at passage 8
ancestral @ 3

Representative organism s30, rendered on one intensity scale. The field states diverge strongly; the information-geometric direction of that divergence is what separates the branches.

THE MEMORY

The direction of the pulse survives in the future action-world.

Integrated causal memory, passages 1–8

ancestral @ 1+0.229forward @ 1-0.258ancestral @ 3-0.069

Sum of branch-minus-no-pulse history-tangent effects across all available ages. Organisms are the paired units.

History separation relative to no pulse

● ancestral @ 1 · ● forward @ 1 · ● ancestral @ 3
12345678

The ancestral branch remains above no-pulse through passage 8; the forward branch remains below it. Intervals resample the same 39 organisms.

The cleanest persistence signal is local history separation. Ancestral direction is positive at every passage through 8. Forward direction is negative from passage 2 through 8. This is not a one-frame afterimage.

Causal coherence relative to no pulse

● ancestral @ 1 · ● forward @ 1 · ● ancestral @ 3
12345678

The broader tangent-agreement signal is noisier and partly relaxes, but its integrated directional memory remains separated.

NOT PERTURBATION SIZE

Equal physical displacement. Opposite causal inheritance.

Pulse Hellinger magnitude

ancestral @ 1+0.326forward @ 1+0.326ancestral @ 3+0.307

The two passage-1 operators are exact inverses and have the same magnitude: 0.3255791721 in both arms.

The early ancestral and forward branches begin equally far from the no-pulse state. By passage 8 their raw field distances are still broadly similar and growing. Yet one preserves the separation of causal histories while the other suppresses it. The system remembers direction, not merely disturbance.

THE BODY CLOCK

The same ancestral pulse changes meaning across two passages.

Visible-transition advance versus no pulse

ancestral @ 1+6.256forward @ 1-0.333ancestral @ 3-6.205

Positive means formation occurs earlier than no-pulse; negative means later. Individual branch intervals are noisy.

The decisive paired comparison is passage 1 versus passage 3: the same ancestral operator changes visible formation by 12.46 steps [4.82, 23.72], with the passage-1 branch earlier in 30 of 39 organisms.

The forward passage-1 control changes timing by only −0.33 steps [−11.59, 11.44]. Equal physical disruption is not enough. Developmental phase and causal direction jointly determine the outcome.

WHAT WE FOUND

Interventions are converted into history.

Direction becomes memory

  • equal-size inverse directions leave opposite future action-worlds
  • the history-separation difference persists through passage 8
  • the pulse is not simply forgotten as the field evolves

Phase becomes meaning

  • the same ancestral operation helps before commitment
  • after commitment it points the developmental clock the other way
  • physical sameness does not imply causal sameness
The early organism is not only a state. It is a machine that turns interventions into different futures depending on direction and developmental time.

This is a causal bridge from information geometry to emergent form. We perturbed the early action-world in controlled directions, watched that direction persist as a dynamical memory, and saw the timing of the same operation alter later visible formation.

NEXT BOLD SWING

Hold the commitment gate open.

The next move is closed-loop: at each early passage, select the smallest spatial or intervention pulse that preserves the positive history-separation direction, then release it. If the gate can be held open past passage 3—and visible formation shifts with it—we will have actively controlled the birth process through its causal geometry.