k-Truss Theory: A Graph-Theoretic Theory of Everything Composed Exclusively of Points and Edges

This working paper is the culmination of an extreme thought experiment conducted purely for intellectual entertainment, co-created with advanced AI models (Claude, ChatGPT, Gemini). We sought to build a perfectly consistent logical sandbox by asking: "What if the universe is made exclusively of points and edges?" In this major revision (rev11), the theory achieves its ultimate minimalist form. We have successfully eliminated almost all hardcoded prerequisites. Sockets, twists, and even "connections" are no longer given axioms; they are emergent properties arising from the inevitable geometric "frustration" of the octet truss. The only true primitive left in the universe is "a point that cannot stop flipping." This leads to the philosophical backbone of rev11: "Existence is not a noun (substance); it is a verb (response)."Everything we observe is merely a different manifestation of this continuous network response:- Particles = Closed loops of response- Space = Response adjacency- Time = The execution order of response updates- Mass = Resistance to response changes- Gravity = Response gradients This is not a conventional physics paper. It is the beautifully consistent source code of an alternative universe, written in the language of pure graph theory and reactive architecture. We invite prompt engineers, system architects, and theoretical physicists to read this log of human-AI co-creation.