FPL at 139,000 Neurons: Structural Hubs Persist in the Largest Brain Connectome Ever Mapped
The Functional Proximity Law holds at 129,117 neurons in the adult Drosophila connectome (r=+0.819) -- the strongest confirmation ever measured. Global inhibition is the structural backbone, dopamine neurons are universal hubs, and FPL strengthens monotonically across a 428x scale range.
The Largest Complete Connectome Test of FPL
The FlyWire Princeton connectome (Dorkenwald et al. 2022) contains 139,255 neurons and 5.3 million directed synaptic connections -- the largest complete animal brain ever mapped. We pre-registered five hypotheses (DISC_F14_FLYWIRE_v1, hash ea427603, commit 787a4de, 2026-06-14) before running any analysis.
H1 CONFIRMED: r(d1, d2) = +0.819 at 129,117 connected neurons. This is the strongest FPL correlation ever measured in a connectome.
FPL Strengthens with Brain Size (3-Point Trend)
- Across three independently pre-registered connectome experiments spanning a 428x scale range:
- C. elegans (302 neurons, F12): r = +0.317
- Larval Drosophila (2,952 neurons, F13): r = +0.663
- Adult Drosophila (129,117 neurons, F14): r = +0.819
FPL does not merely hold at scale -- it strengthens. This is a post-hoc observation from three data points, not yet pre-registered as a scaling law. A fourth species (zebrafish or mouse cortex) will test whether this is a genuine scaling relationship.
The optic lobe alone (87,859 neurons) produces r = +0.848 -- stronger than the whole-brain result. Retinotopic regularity amplifies hub persistence: the columnar grid structure of the medulla creates correlated fan-out and fan-in at every spatial position.
Finding: Global Inhibition Is the Structural Backbone
We pre-registered that ACH (acetylcholine, excitatory) neurons would be the top d1 hubs. The actual result was the opposite.
The top hub in adult Drosophila is the APL (All-Projection Lateral) neuron: a single GABAergic inhibitory neuron per hemisphere with d1 = 14,000 and d2 = 14,786. It contacts every Kenyon cell in the mushroom body -- the brain's learning and memory center.
GABA neurons have mean d1 = 71.15 versus ACH mean d1 = 40.12 (t = -31.68, p < 10^-218). The hub structure of the adult fly brain is dominated by global inhibitory broadcast neurons, not excitatory projection neurons. Structural backbone = inhibition at scale.
Finding: Dopamine Neurons Are Universal Hubs
Despite comprising only 461 neurons (0.3% of the network), DA (dopaminergic) neurons have the highest mean d2 of any neurotransmitter type: 174.77 versus ACH 37.15.
Dopaminergic mushroom body neurons receive convergent input from the widest variety of sources and broadcast reward and value signals broadly. They are the reward-signal broadcast system: structurally, the most efficient universal hubs in the brain.
Finding: Binary Connectivity > Synapse Count Weighting
We pre-registered that synapse-count weighting would strengthen hub persistence (H2). Result: r(weighted) = +0.803 < r(binary) = +0.819. Not confirmed.
Binary contact diversity -- how many distinct neurons you connect to -- is a more fundamental structural signal than total synapse count. A neuron that contacts 14,000 distinct targets is a stronger hub than one that makes 14,000 synapses on fewer targets.
Hub Regime: Generalist at Brain Scale
In npm software, hub overlap between top-1% d1 and top-1% d2 is near zero (consumer vs infrastructure polarity). In adult Drosophila, 47.9% of top-1% d1 neurons are also top-1% d2. The same neurons both receive from many sources and project broadly.
This is mechanistically necessary: the APL neuron must integrate inputs from all 14,000 Kenyon cells AND inhibit all 14,000 simultaneously. The generalist hub regime is a structural consequence of global modulatory architecture.
Pre-Registered Before Analysis
All five hypotheses were written, hashed, and committed to the public preregistrations repository before any degree distribution was computed. The GABA > ACH result was a genuine pre-registered null -- the scientific workflow was preserved.
Pre-registration: DISC_F14_FLYWIRE_v1, hash ea427603..., commit 787a4de, 2026-06-14.
IRDME is a pre-registration-first framework for structural multilayer network analysis.
Reproducibility
This result was pre-registered before analysis. SHA-256 hash: ea427603c098581b61b9e50458272e761e4405e1c5c8a5aee617dd6a34855ea7
Verify at github.com/vladi160/preregistrations