Specter / Flow Lenia
A developmental causal atlas · 1,280 complete futures

The geometry turns

As the Flow Lenia organism approaches its morphological transition, whole-over-parts organization rises, its preferred perturbations separate from ordinary predictability, and its macroscopic identity becomes more canalized. The system is not merely changing shape. Its causal response geometry is reorganizing.

End above beginning59/64 organisms
Family-wide rise16/16 families
64organic organisms
5developmental phases
1,280branched futures
1.15Mframes analyzed
01

Before form, a rise

Align each untouched organism to its own future transition. The whole-over-parts score rises steadily from −1.75 at 20% of development to −0.32 at transition. The end-to-start increase is +1.43, with every family positive.

Whole over parts

Mean untouched trajectory, aligned by each organism’s certified transition time.

20%40%60%80%transition

Ordinary predictability

Whole-state TDMI follows a different U-shaped path rather than the same monotonic rise.

20%40%60%80%transition
The candidate precursorWhole-over-parts organization rises toward organism formation without simply mirroring ordinary predictability.
02

The action landscape rotates

At every phase, twelve inventory-preserving rearrangements were scored locally. Early on, Φ-high and TDMI-high usually wanted the same action. By transition, they almost never did—and maximizing Φ now lowered TDMI relative to Φ-low on average.

Same selected action

Φ-high equals TDMI-high, out of 64 organisms.

4420%2140%960%480%4transition

TDMI carried by the Φ contrast

Mean TDMI difference between Φ-high and Φ-low. Positive means aligned; negative means opposed.

20%40%60%80%transition

The overlap falls 44 → 21 → 9 → 4 → 4. TDMI along the Φ-high/low direction turns from +2.16 early to −0.73 at transition. This is not a weakening selector: the Φ-high/low gap remains strong and positive in all 64 organisms at every phase. The geometry itself changes.

03

A narrowing developmental funnel

Absolute timing freedom shrinks as transition approaches, while organism identity explains more and more of the remaining variance. The basin becomes narrow—but within the time still remaining, late perturbations consume a larger fraction of the available developmental clock.

20%0.9788event-time ICC
median range 5 steps
40%0.9939event-time ICC
median range 5 steps
60%0.9986event-time ICC
median range 4 steps
80%0.9989event-time ICC
median range 2 steps
transition0.9996event-time ICC
median range 2 steps

Identity lock-in

Event-time intraclass identity across untouched plus four branched futures.

20%40%60%80%transition

Absolute timing range

Median within-organism event-time span across five futures.

520%540%460%280%2transition
Two truths at onceThe organism becomes harder to move in absolute time, yet the local information landscape becomes more distinctively organism-like.
04

Canalized is not predetermined

Most branches return to almost the same developmental tempo and adult form. A few organisms sit on spectacular edges. Source 44, perturbed at 20%, spans 292 steps across its matched futures. Other specimens change adult topology while barely moving event time.

Tempo bifurcation · source 44

source 44 untouched at step 513
Untouched · step 513certified transition
source 44 phi high at step 622
Φ-high · step 622certified transition
source 44 phi low at step 622
Φ-low · step 622still developing
source 44 phi low at step 805
Φ-low · step 805certified transition

Adult-form split · source 51

source 51 phi high adult
Φ-high · adultfragmented rail form
source 51 phi low adult
Φ-low · adultsingle dominant form

Late timing split · source 17

source 17 phi low transition
Φ-low · step 66certified transition
source 17 phi high transition
Φ-high · step 105certified transition
05

What we may be looking at

The most interesting signal is not “high Φ makes birth faster.” It does not, as a population rule. The signal is a coordinated developmental reorganization: a rising whole-over-parts trajectory, a rotation away from whole-state predictability, and increasing macroscopic canalization with sparse escape points.

An order parameter

The event-aligned rise may mark consolidation of organism-level organization before the visible transition.

A changing causal geometry

The actions that maximize whole-over-parts organization become different from those that maximize ordinary prediction.

A developmental basin

Many microscopic futures remain possible, while a much narrower organism-level future becomes dominant.

The bold formulationOrganism formation may be a rotation and contraction of causal response space—not merely the crossing of a morphological threshold.
06

Now make it predictive

This atlas used the known future transition to align developmental phase. The next experiment should remove that knowledge and ask whether the geometry itself tells us how close the organism is to forming.

Blind transition clock

On fresh organisms, read only the rolling past. Predict time-to-transition from the whole-over-parts rise and Φ/TDMI action-gradient angle.

Intervene on the rotation

Construct actions that selectively raise Φ while lowering TDMI, and the reverse. Ask whether deliberately rotating the local geometry changes basin entry.

Learn the parts

Replace fixed quadrants with body-centered and dynamically learned decompositions. The best parts should sharpen the rise, the rotation, or the escape points.

Plain scope: This is a causal within-organism developmental atlas, not an independent population confirmation. The perturbations are exact and prospective within each branch; the five phases were aligned using each organism’s already-known untouched transition. That makes the discovered rise and rotation an unusually strong hypothesis generator. A fresh, past-only prediction experiment is the clean next move.