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Published March 14, 2026 | Version 2
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The Geometry of the Critical Line: A Reader's Map (Second Edition)

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Navigation guide to the 26-paper Geometry of the Critical Line research programme. This second edition extends the original map to cover Papers 21–26 and a companion research note, which form a largely self-contained Newton dynamics arc investigating the routing transition in C_α(z) = z − exp(−α/z).

The map classifies each paper by type, domain, and claim strength; provides entry routes for different audiences (complex dynamics, symbolic dynamics, number theory, applied physics, skeptical reviewers); documents the current mechanistic chain from local throat geometry through the traffic law to entropy projections; and explicitly lists key negative results and what the programme does not claim. The Newton dynamics arc can be read independently of the SCT manifold and spectral programme.

 

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