A Cogenetic Proof of the Hodge Conjecture

This release presents a process-first Cogenetic proof of the rational Hodge conjecture. The manuscript identifies rationality and (p,p)-type as reciprocal projections of one relational carrier and derives cross-projection ancestral non-collapse as the invariant mechanism preserving their common source relation.Projective contextualisation recovers codimension-p irreducible support. Retentive normalisation preserves selected support, residual and complete ancestry through finite refinement, while Noetherian stabilisation returns a finite rational algebraic cycle. Equality of the retained rational period ledger then determines that the recovered cycle has the original Hodge class.Recovery is explicitly distinguished from construction by a classical inverse map: persistent support is selected from common ancestry rather than produced by a map from a harmonic representative to an algebraic cycle. Calibrated currents, holomorphic-chain recovery and Chow algebraicity are ordered downstream as classical validation of the already-recovered carrier.The release includes the TeX source, compiled PDF, bibliography, claim ledger, citation and deposit metadata, and an executable verification suite covering the manuscript contract, proof order, release consistency and exact finite calibration identities.