The hidden field is not one universal code

One body.
Two hidden languages.

Expansion depends on phase-aligned, coarse spatial organization. Compactification survives phase destruction and fine-scale isolation. The two futures are written differently.

2,184new energy-matched futures
14syntax transformations
0.0visible starting-field change
7.91×10⁻⁸maximum relative energy mismatch
01 / The split

The same intervention axis reveals two morphogenetic grammars.

EXPANSION LANGUAGE

+0.292 → +0.008

Intact pattern to full phase scramble. Fine-only: +0.056. Smooth σ4: +0.537. Smooth σ8: +0.608.

COMPACTIFICATION LANGUAGE

+0.447 → +0.394

Intact pattern to full phase scramble. Fine-only: +0.379. The direction survives destruction that erases expansion.

These are reciprocal futures of the same organisms, under exactly matched perturbation energy. The asymmetry is in the developmental code itself.

02 / Phase

Destroy relational phase and expansion disappears.

+0.0+0.2+0.4+0.6expansion, 0% phase disruption: +0.292 [+0.101, +0.487]expansion, 25% phase disruption: +0.211 [-0.009, +0.428]expansion, 50% phase disruption: +0.157 [-0.077, +0.388]expansion, 75% phase disruption: +0.041 [-0.166, +0.254]expansion, 100% phase disruption: +0.008 [-0.307, +0.361]compactification, 0% phase disruption: +0.447 [+0.283, +0.612]compactification, 25% phase disruption: +0.415 [+0.241, +0.589]compactification, 50% phase disruption: +0.496 [+0.312, +0.684]compactification, 75% phase disruption: +0.567 [+0.391, +0.753]compactification, 100% phase disruption: +0.394 [+0.145, +0.650]0%25%50%75%100%expansioncompactificationspatial phase disruption at fixed hidden-pattern energy

At 75% phase disruption, expansion falls to +0.041 and is -0.251 below intact [-0.491, -0.016]. Compactification remains +0.567.

Each dose uses an independent deterministic phase realization, so this is a dose-by-distribution curve rather than a single path to one scrambled endpoint. Its direction is nevertheless striking: expansion erodes; compactification does not.

03 / Scale

Expansion lives broadly. Compactification also survives in the fine structure.

intactexpansion, intact: +0.292compactification, intact: +0.447smooth σ2expansion, smooth σ2: +0.225compactification, smooth σ2: +0.387smooth σ4expansion, smooth σ4: +0.537compactification, smooth σ4: +0.154smooth σ8expansion, smooth σ8: +0.608compactification, smooth σ8: +0.247fine onlyexpansion, fine only: +0.056compactification, fine only: +0.379expansioncompactification

COARSE EXPANSION

Smoothing to σ4 or σ8 retains—and on average amplifies—the expansive direction. Fine-only is +0.056, -0.236 below intact [-0.461, -0.066].

MULTISCALE COMPACTIFICATION

Fine-only remains +0.379 [+0.021, +0.725]. Compactification can be carried without the broad phase-aligned map expansion needs.

04 / Pose

The receiver reads direction and orientation too.

ellipse cx="218" cy="195" rx="95" ry="70" fill="#151921" stroke="#454b58" stroke-width="2"/>E +0.10C +0.43E +0.30C +0.32E +0.14C +0.11E +0.01C +0.11ROTATE 90°expansion +0.06compactification +0.25ROTATE 180°expansion +0.02compactification +0.42

Compactification tolerates vertical displacement but weakens under horizontal shifts. Expansion is fragile to 180° rotation and several translations. The hidden map is interpreted relative to the body’s own geometry.

Pooled across both developmental directions, translations still carry +0.188 and rotations +0.186 donor-directed motion. But both are roughly half the intact +0.369 effect: pose matters even when energy is identical.

05 / What we found

A hidden field can encode different transformations with different spatial grammars.

EXPANSION

A phase-coherent, broad spatial relation. Destroy phase or isolate fine structure and the instruction fades.

COMPACTIFICATION

A more redundant, multiscale instruction. It survives full phase scramble and fine-only isolation.

THE RECEIVER

Pose sensitivity shows the map is not read in isolation. Meaning emerges from map × body geometry.

This is no longer just a precursor score. It is a causal syntax: hidden spatial arrangements of equal strength can tell the same visible body to develop differently.

06 / Next

Test whether the language is shared between organisms.

Transplant energy-matched syntax across unrelated bodies. If expansive coarse-phase maps generalize, Flow Lenia has a shared morphogenetic vocabulary. If they only work inside paired lineages, the code is organism-specific memory.

The phase-dose arm should also be repeated as a single coherent interpolation to one fixed scrambled endpoint. That will turn the present distributional dose curve into a clean within-state topology path.