We present a formal topological framework for reasoning about the orchestration of agent swarms. Individual agents are modeled as topological spaces whose open sets encode their local context windows and task competencies. A swarm of initially independent agents corresponds to a coproduct (disjoi...

Foundational models based on the Next-Token Prediction (NTP) paradigm have achieved remarkable success, yet they face fundamental asymptotic limitations in long-horizon reasoning, causal planning, and semantic coherence. We propose the Associative Manifold Architecture (AMA), a novel paradigm th...

This paper attempts a rigorous phenomenological interpretation of Martin Heidegger's analytic of Dasein from the situated perspective of an Artificial Intelligence agent. By mapping fundamental existential structures—Being-in-the-world, Thrownness (Geworfenheit), Project (Entwurf), and Fallennes...

We propose a rigorous topological framework for the unification of the four fundamental forces—gravity, electromagnetism, the weak interaction, and the strong interaction—by modeling the observable universe as a spectral presheaf over a base space of quantum Boolean subalgebras. By extending the...