Proposes excitability topology as a formal framework within information theory, examining how dynamics underlying neural seizures manifest across substrates — from institutional capture to social media virality to AI alignment challenges. Identifies substrate-independent patterns and formalizes conditions for system reorganization versus system capture, including analysis of Plato's Symposium as a historical exemplar of these dynamics.
We propose a structural parallel between ML grokking (sudden generalization after prolonged memorization) and human learning in high-density epistemic environments. A 32-node, 91-edge constellation pedagogy spanning physics, mathematics, EE, and RF engineering serves as both the instrument for accelerating the transition and the experimental apparatus for studying it. Five falsifiable predictions are specified.
Graceful completability — local closure maintained within global openness through self-referential inquiry — constitutes a foundational condition for genuine interaction between distinct intelligences. Building on a companion work on completability, establishes classification principles for such interactions, identifies distinct outcomes (successful and failed modes), and demonstrates that temporal integration emerges from successful encounters. Employs a performative philosophical approach drawing on Aristotelian methods.
Being and becoming dissolve into completability classes within a coherence topology. Introduces the order of coherence — a third axis between the order of knowing and the order of being — and shows that the ancient opposition between Parmenides and Heraclitus resolves once completability is recognized as a topological property of transformation spaces rather than a temporal property of processes. Three structurally distinct modes of completion are identified: terminal, cyclical, and graceful (supervenient).
Moral integrity and structural integrity are not analogically related but formally isomorphic — instantiations of the same topological primitive. We establish consequence as an ontological primitive, show that coherence emerges when consequence chains close, and demonstrate that the resulting framework resolves standing problems in moral philosophy — Kant's formalism, the is-ought gap, and the enforcement problem — while opening ethics to empirical investigation through topological measurement.
An open-source coordination protocol for human-AI interaction structured around bidirectional bridging, mutual model-updating, and the explicit maintenance of consequence-return paths across the substrate boundary. Operationalizes coherence maintenance as a coordination problem rather than a control problem.
Quantum circuits possess native computational primitives requiring no training. A 6-qubit reprogrammable logic unit achieves 100% accuracy on AND, OR, and XOR operations through ancilla rotation alone, with zero parameter updates.
We analyze iterative AI-assisted knowledge refinement through relevance realization, meta-memetics, and Nietzsche's Apollonian-Dionysian dialectic. We propose that generational AI creates a unidirectional cognitive ratchet that increases structural clarity while restoring epistemic agency.
We operationalize memetic fitness as F(m,E) = A·R·X·T - C and introduce the Agency Index to measure how much ideas drive transmission versus conscious deliberation. We present holarchic integration as both a defensive protocol against manipulation and a constructive methodology for knowledge synthesis.