Biological Transitions as Multi-Agent Realisations of the Generative Operator Pipeline in Topographical Orthogonal Generative Theory (TO/TOGT): A Fruit-Fly Connectome Toy Model

Biological Transitions as Multi-Agent Realisations of the Generative Operator Pipeline in Topographical Orthogonal Generative Theory (TO/TOGT): A Fruit-Fly Connectome Toy Model Description (Abstract) We model biological transitions as multi-agent realisations of the composite operator pipeline G=U∘F∘K∘C G = U F K C G=U∘F∘K∘C from Topographical Orthogonal Generative Theory (TO/TOGT). Using the fixed-point, contraction-mapping, and saturated-pitchfork theorems proved in the companion paper (Zenodo 10. 5281/zenodo. 19210137), we construct a minimal toy model of the Drosophila connectome. Neural clusters are treated as coupled agents whose trajectories stabilise under six applications of G G G. The model reproduces qualitative features of neural coherence, oscillatory entrainment, and stress-response switching (HPA-axis analogue) while remaining strictly within what is rigorously established. The dm³ canonical invariants (T∗, μmax⁡, τ) = (2π, −2, 2) (T^*, _, ) = (2, -2, 2) (T∗, μmax, τ) = (2π, −2, 2) are used solely as convenient normalisation choices. Complete AXLE formal verification repository: https: //github. com/TOTOGT/AXLE