One Gate: A Unified Structural Analysis of Open Problems in Mathematics and Physics

Every unsolved mathematical in both sets is blocked at the same structural coordinate โ€” the ๐‘— โ†’ ๐‘น promotion, the Frobenius Parity Gate. All of them. The Lee-Yang theorem โ€” proved in 1952 โ€” already instantiates the resolved form of this gate. This paper reports what the grammar found, names the one structural operation that would close every open problem in the table, and identifies the precise open Lean axioms that remain in each problem's ZFCfe formalization.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20480759
Primary Topic
Logic, programming, and type systems
Type
preprint
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preprint

One Gate: A Unified Structural Analysis of Open Problems in Mathematics and Physics

Lando Mills
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
preprint

One Gate: A Unified Structural Analysis of Open Problems in Mathematics and Physics

Lando Mills
preprint en

Abstract

Every unsolved mathematical in both sets is blocked at the same structural coordinate โ€” the ๐‘— โ†’ ๐‘น promotion, the Frobenius Parity Gate. All of them. The Lee-Yang theorem โ€” proved in 1952 โ€” already instantiates the resolved form of this gate. This paper reports what the grammar found, names the one structural operation that would close every open problem in the table, and identifies the precise open Lean axioms that remain in each problem's ZFCfe formalization.

Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
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