Toward a Unified Condensed-Matter Theory of Spacetime: Tetrahedral Ur-Cells, Emergent Time, Matter, Spectra, and Gravity in the MMU Framework

This article introduces the MMU v6.4 framework as a unified condensed matter inspired theory of spacetime. The model explores whether time matter spectra gravity and horizon like behavior can emerge from a minimal dual tetrahedral ur cell lattice with three internal deformation modes. The internal modes are w2 electric w3 torsional magnetic and w4 volumetric gravitational. Observable quantities are not fundamental internal variables but projected readouts from these internal modes. The framework is organized through one KMC architecture with K as local stiffness M as internal inertia and C as neighbor contact coupling. The article presents the core canon the projection principle stiffness scaling mass and reduced mass bridges particle like internal modes Rydberg and orbital bridges spin chirality matter antimatter branches atomic spectra weak field gravity redshift prestress and Hawking bridge ideas. It also documents the frozen MMU v6.4.2 FEM Proof Atlas. This program tests one frozen KMC package across electron like proton like hydrogen like mass proxy spectral contact and robustness gates without retuning. The result is presented as structural support under declared audit rules not as final physical proof or as a replacement of quantum mechanics quantum field theory or general relativity. The accompanying OSF material includes the article the RAG corpus the instruction set canon files derivation bridge files program code output reports figures and audit tables so that readers and AI systems can review question reproduce and extend the framework in a controlled way.