LOGOS-44 / Axis Hodge Research Publication Bundle

Versioned update of the LOGOS-44 / Axis Hodge Research Publication Bundle. The principal revision is Hodge Detection Filtrations by Singular Sections v0.3. This version expands the complete proofs of the three benchmark theorems developed in v0.2, incorporates the post-publication internal proof audit, and gives more precise source references for the principal external dependencies, including Thomas, Saito, Kloosterman, and Totaro. The Hodge Detection Filtration is a restriction-defined, complexity-indexed filtration on the primitive rational middle Hodge space of a smooth projective variety. It records which primitive Hodge directions become detectable by restriction to singular divisors below a prescribed complexity threshold and, in the equivariant setting, carries representation-theoretic graded information. The three benchmark calculations are: Q^4 with O_Q(2), where the unique primitive middle class is first detected at node complexity three; (P^1)^4 with O(1,1,1,1), where the two-dimensional primitive sector is detected at node complexity two; (P^1)^4 with O(1,1,2,3), where the filtration is genuinely multistep: F_1=0, F_2=F_3=V_+, and F_4=V_+⊕V_-. The three benchmark proofs have been reconstructed line by line and internally audited. Independent mathematical verification remains pending. The proposed novelty of the Hodge Detection Filtration remains subject to independent literature review. This work does not claim a proof of the Hodge conjecture. Current version DOI: 10.5281/zenodo.22786934Concept DOI: 10.5281/zenodo.22785893Previous version DOI: 10.5281/zenodo.22785894