The Geometry Generation Theorem (GGT) Explanatory Census (Version 1.0): A Dependency-Origin Audit of Classical Mathematical Objects
Year: 2026
Type: preprint
Abstract: The Geometry Generation Theorem (GGT). A versioned research artifact containing a dependency-origin census of classical mathematical objects, constructed using a four-stage documented methodology (search → candidate generation → five-test filter → adversarial review) and a three-level confidence system (A / B / C). The census contains 49 retained dependency-origin records across three parts: (I) canonical classical objects, (II) classical objects with new genealogy, and (III) GGT-native objects. 12 candidates were discarded and documented. Each entry specifies a parent object, construction origin, what standard presentations leave implicit, what the framework reveals, logical dependence in the framework, and a one-sentence explanatory gain. This is Version 1.0 of a living research artifact. Entries and confidence ratings are expected to evolve with expert feedback. Future revisions will be released as Version 1.1, 1.2, etc.
Author: Atri, Ashish
Language: English
Subfield: Theoretical Computer Science
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171138970
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