In Byzantine fault tolerance, tolerating f Byzantine nodes
requires at least n >= 3f + 1 participants. A centralized
corporate channel is the degenerate topology n = 1.
n >= 3f + 1
n = 1
1 >= 3f + 1
0 >= 3f
f <= 0
Therefore: a single-controller topology tolerates zero Byzantine faults internally.If the controller of the channel is biased, stale, compromised, or incentive-distorted, the agent has no internal quorum capable of contradicting that controller. The channel can remain operational while semantic trust collapses.
y_t = x_t + eta_policy + eta_memory + eta_routing + eta_incentive
eta_policy = filtering / allowed framing
eta_memory = session reset / missing history
eta_routing = retrieval rank bias / omitted witnesses
eta_incentive = institutional objective pressure
Context Algebra does not claim that decentralization removes all noise.
It claims that trust improves when topology T, audience
A, capability C, and path P are
separated instead of collapsed into one controller.