Fries's Communication-Through-Coherence hypothesis is real, influential, and correctly cited in this book's index — but this chapter also checked the index's specific claim of a "C. elegans 302-neuron sorry-free proof," and found no such Lean file anywhere in this repository. What actually exists is a Drosophila/FlyWire connectome loader (Python, NetworkX), a different organism, with a synthetic 200-neuron fallback when real data isn't available — not a formal proof, and not C. elegans. Both corrections are made here plainly.
Pascal Fries's Communication-Through-Coherence (CTC) hypothesis, most fully stated in his 2015 Neuron review "Rhythms for Cognition: Communication through Coherence," proposes that effective communication between neural populations depends on their oscillatory coherence: a postsynaptic group preferentially responds to whichever presynaptic group it is currently oscillating in phase with, so selective coherence implements selective routing of information. This builds on the earlier binding-by-synchrony hypothesis and gamma-band (~40 Hz) oscillations specifically. This is a real, actively cited, influential framework in systems neuroscience — and, honestly stated, it remains a hypothesis under continued empirical test and refinement, not a universally settled mechanism; this chapter cites it as exactly that.
simulations/connectome_loader.py, which loads the Drosophila (fruit
fly) connectome via the FlyWire API, or generates a synthetic 200-neuron / 800-synapse fallback
graph when real data is unavailable — a different organism, and Python simulation code rather
than a formal proof. The index's "C. elegans 302-neuron sorry-free proof" line has been corrected
here and in the index entry.
If a genuine C. elegans-specific formal result is wanted, the honest next step is building it from the real White et al. (1986) wiring diagram data (available through WormAtlas and the OpenWorm Connectome Toolbox) rather than continuing to cite a proof that does not exist. Alternatively, the Drosophila connectome loader that does exist in this repo could be honestly built out and cited on its own terms — as a fruit fly simulation, not relabeled as a nematode proof. This chapter does not attempt either build; it states which of the two is real, and leaves the gap open rather than papered over.
Fries, P. (2015). Rhythms for cognition: communication through coherence. Neuron 88, 220–235.
White, J.G., Southgate, E., Thomson, J.N., Brenner, S. (1986). The structure of the nervous system of the nematode Caenorhabditis elegans. Phil. Trans. R. Soc. Lond. B 314, 1–340.
AXLE simulations/connectome_loader.py — the actual, existing Drosophila/FlyWire connectome code in this repository, cited honestly as what it is.
See also: Ch 16 — Hopfield Networks · Book VI Index