• aggregated connection between particles within the cybergraph
  • where a cyberlink is a single directed edge from one neuron, an axon is the bundle of all cyberlinks connecting two particles across all neurons and time
  • axon weight = aggregate of individual cyberlink weights between two particles
    • sums contributions from many neurons
    • reflects collective judgment, not individual opinion
  • axons emerge from the graph — they are not created directly
  • the cybergraph is made of cyberlinks; axons are what you see when you zoom out
  • if a cyberlink is a synapse, an axon is the nerve fiber
  • properties
    • direction: from particle A to particle B (directional aggregate)
    • weight: sum (or weighted sum) of all individual cyberlink weights on this path
    • multiplicity: number of distinct neurons that have linked A to B
    • temporal span: earliest and latest cyberlink timestamps
  • axons are the natural unit for the tri-kernel operators
    • diffusion flows along axons (probability follows aggregate weight)
    • springs constrain axons (structural consistency between particles)
    • heat kernel smooths across axon bundles (multi-scale context)
  • applications
    • relevance machine: ranking operates on axon-level aggregates, not raw cyberlinks
    • search: query results ranked by axon weight between query particle and result particles
    • knowledge structure: axons reveal the skeleton of collective understanding
    • anomaly detection: axons with high multiplicity but low aggregate weight signal disagreement
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