Finite-Jet Sign Rigidity
Which Boolean distinctions can be realized as signs of functions with specified regularity?
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Which Boolean chamber labels can arise as signs of functions with specified regularity? The manuscript gives explicit finite-order rigidity statements, a quasianalytic/non-quasianalytic realization dichotomy, and quantitative polynomial-degree comparisons away from coordinate walls.
This mathematical synthesis connects continuous descriptions to discrete sign distinctions under stated regularity and margin assumptions. It supports the Being and Becoming question without asserting a model of cognition.
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Classical ingredients and limitations are documented in the manuscript. The existing Brian Theory byline is preserved. Internal machine-assisted review is distinct from external human peer review.
Related manuscript
Finite-Jet Sign Rigidity on Hyperplane Arrangements and Denjoy–Carleman RealizationOctober 14 clarified revision; internally machine-assisted reviewed synthesis. External human review and historical-priority assessment remain open.
Reading scope: Declared function classes, hyperplane arrangements and margin domains; no learning, runtime, cognitive or physical validation claim.
Site reading copy 1 from September 27 revision; October 13 quantitative additions; October 14 scope clarifications and revision record. Exact source and 18-page PDF preserved.
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