Work

The Three Gates — A Rooted-Operator Approach to Weil Positivity

Year: 2026
Type: preprint
Abstract: Version 2 of The Three Gates: A Rooted-Operator Approach to Weil Positivity. This revision preserves the main theorem, rooted-operator strategy, and proof architecture of Version 1 while incorporating clarifications arising from subsequent independent and internal auditing. In particular, the Y-regularity statement is formulated in the locally absolutely continuous / almost-everywhere derivative form used by the argument; the Gate-I shell statement is restricted to the midpoint case actually required in the proof; and the MASTER splice, common-cut/fold bookkeeping, and aligned-forcing tail are made explicit. The accompanying supplementary computational material has also been expanded to strengthen reproducibility and independent verification.
Language: English
Open Access status: green
OpenAlex ID: W7213327363
Cites: 11
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Related to: 10