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The Branch and the Shadow

Cocyle · Ultrametric Cognition · Epistemic Probability

The brain is a deterministic cocycle solver on an ultrametric tree. Conscious experience is the Monna projection of that navigation. Probability is epistemic. Determinism is absolute.


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rwnq8.github.io/cocyle

Structure

Page Description
Manifesto Full philosophical argument — The Branch and the Shadow
Monna Lens Demo Interactive: hover over the Archimedean line, watch the ultrametric tree collapse
Triangle Tester Upload or generate distance matrices. Test the strong triangle inequality.
Cocycle Visualizer Watch cognitive dissonance resolution — three patches, gradient descent to δω=0

The Three Pillars

  1. Ultrametricity — The brain's state space is a Bruhat-Tits tree
  2. Cocycle Condition — δω=0 glues local sensory patches into a unified percept
  3. Monna Map — Many-to-one projection from non-Archimedean tree to Archimedean timeline

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Foundational knowledge. Free. No capture. No tracking.

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