Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 147-01. Continuous Phase Foliations Create Analytic Caustic Collars
Manuscript map · lines 5225–5234
OpenAI@2026-10-07#rem:oai-p-147-01
Authors: OpenAI. Family 147.
Title: Continuous Phase Foliations Create Analytic Caustic Collars.
Abstract: For a smooth strictly convex planar billiard of positive curvature, a continuous foliation of a full grazing annulus by individually invariant essential curves forces an analytic boundary and a jointly analytic collar of smooth strictly convex caustics. The physical-collar rigidity theorem proved in the companion article then implies that the table is an ellipse.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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