render/tests/fixtures/pages/Collective Focus Theorem.md

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title:: Collective Focus Theorem
tags:: research, mathematics, distributed-systems
public:: true
alias:: CFT

- A mathematical framework for understanding consensus emergence in distributed systems.
- ## Core Principles
  - The theorem establishes that collective attention in a network follows predictable patterns
  - These patterns emerge from the interaction of individual agent focus with network topology
  - Related to work on [[Bostrom]] network GPU consensus
- ## Biological Parallels
  - [[Mycorrhizal Networks]] exhibit similar consensus patterns
  - The "wood wide web" demonstrates natural distributed intelligence
- ## Implementation
  - Applied in [[projects/Cyber Valley]] community governance
  - Three years of empirical data from 1000+ agents

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