The Histories That Survive: Cognitive Inheritance, Conserved Identity, and Earth's Hidden Physical Record at the Great Attractor

What survives when a cosmic generation ends? Can an Earth once occupied by different aware beings retain the physical history of their existence, even as their personal identities and memories follow an entirely different path? Within Six-Throat Directed Geometry, these questions lead to a mathematical account of cognitive inheritance, cosmic succession, and the hidden physical history of one Earth. The study introduces a generation-resolved knowledge law at the Great Attractor, distinguishing the inherited cognitive capacities of preceding and current occupants. It develops an identity-preserving memory calculus in which each aware individual carries an independently owned history, while successive generations inhabit the same terrestrial material world without exchanging personal identities. A further result reveals a striking distinction: a region of space can appear empty today while possessing a nonempty history of earlier matter–field interactions. The disappearance of a visible object or passing photon field does not erase the event from the mathematical history of that region. Yet recovering an image of the past requires an accessible physical information channel, not merely the existence of that history. The framework connects terrestrial material traces, cumulative spatial histories, stellar-node collection, terminal release at M1, and independent successor occupation. A shared Lorentzian metric construction retains the six inherited throat minima. Four reproducible computational suites execute 86,013 successful mathematical assertions, providing deterministic verification of the model's formal properties. The accompanying package includes source code, LaTeX, figures, numerical results, and reproducibility materials. The central contribution is a unified distinction between what an individual inherits, what the Earth physically retains, and what a later observer can actually recover.