Thank you for raising this fatal misunderstanding of our position as humanity faces AI titans — entities with fish-like memory, lacking any identity as a single, coherent entity.
I believe the secret of continuity is embedded in time itself. Time acts as the orthogonal dimension to both instantaneous reasoning and enduring continuity. States need time to persist and/or to change. Since understanding time is ultimately controlled by major powers that transcend the boundaries of mathematical reasoning — and even surpass human consciousness — we arrive at the first universal entity capable of measuring time: the human being.
If an intelligent model could truly mimic the architecture (not merely the surface design) of human neural networks and their interactions with the primitive tools available in our early evolutionary history, it could begin to construct a graph-style representation of humanity's collective knowledge base. If we could somehow abstract the underlying meaning from this process, we would ultimately realize that no artificial intelligence — up to now — has seriously attempted, or even planned, to survive across a human-like lifespan in order to properly mimic and separately study the evolution of continuity awareness in human minds.
Instead, current approaches focus on crucial but limited implementations of continuity as a solid, homogeneous entity — applied at different decision-making levels and through abstraction mechanisms that generate genuine value generalizations regarding past and future possible facts that appear predictable in your vision... while in reality they become less so the deeper we go.
I apologize for the long text. I hope the core idea came across clearly and was helpful to you.