protocol structure insights

1. creation model options

option a — cyberlinks-only creation

  • particles cannot be created independently; every new particle must be the target or source of a cyberlink from an existing particle
  • ensures strict graph continuity, preserving strong connectivity for the collective focus theorem
  • simplifies data availability proofs since every particle is born linked to the graph’s current frontier
  • downside: bootstrap phase requires at least one genesis particle or controlled seed set

option b — dual creation (particles & cyberlinks)

  • allows creation of unlinked particles (“orphans”) in addition to cyberlinks
  • increases flexibility — useful for staging data, private preparation, or pre-commit phases
  • risk: too many unlinked particles can fragment focus and increase storage of unused nodes
  • requires periodic pruning or decay to keep orphan set bounded

trade-off summary:

  • cyberlinks-only = maximal structural discipline, better convergence guarantees
  • dual creation = more expressive, but needs governance or automated decay to prevent graph dilution

strict connectivity

  • new cyberlinks must attach to an existing particle (previously finalised or at least visible)
  • preserves strong connectivity invariant from the first step
  • ensures that every random walk can traverse newly added structure without special cases

hanging (free-floating) cyberlinks

  • cyberlinks can connect to particles that don’t yet exist or are not linked to the current graph
  • enables speculative linking (future references, pre-loading network knowledge)
  • risk: creates dangling edges that require later resolution; increases verification complexity
  • might require a TTL or bonding mechanism to prevent abuse

design consideration:

  • if the protocol enforces eventual resolution of hanging links (e.g., missing endpoint must be created within N epochs), they could be a powerful speculative tool without harming integrity
  • adopt cyberlinks-only creation for the mainnet consensus-critical path — guarantees strong connectivity and simplifies convergence proofs under CFT
  • allow temporary orphan staging in mempool or local state, but they are not part of consensus until linked
  • permit future-pointing hanging cyberlinks only with a stake bond and expiry, so speculative graph shaping is possible without spam risk

4. interaction with economic & state models

  • in a cyberlinks-only model, all focus rewards directly trace to link creation, aligning perfectly with the minting-for-focus rule【57†source】
  • strict connectivity means every new unit of attention (Δπ) is measurable and attributable, strengthening the π-minting theorem【54†source】
  • authenticated graph data structures can prove existence and weight of every link without handling orphan cases【59†source】
  • data availability is simplified since all new objects are reachable from recent state roots【58†source】

5. security and performance implications

  • strict connectivity limits adversarial surface for creating unreachable, malicious, or hidden data objects
  • hanging edges, if allowed, must be bounded in number and lifetime to avoid denial-of-service via massive unresolved reference sets
  • cyberlinks-only finalisation path reduces proof size and simplifies light client logic