
This paper presents a geometric mechanism for the origin of life based on the Octomorphic Framework. Instead of treating life as a chemical accident, the model shows how specific coherence structures emerge naturally from the geometry of matter. Using three core quantities — triangle-braidness (TB), phase strain (Delta L), and mean coherence curvature (MCC) — the paper identifies the conditions under which a self-sustaining coherence loop forms. This loop, called a registry cycle or Living Fold 0.0, represents the earliest possible form of heredity. The work develops a four-step pathway to abiogenesis: 1. Formation of MCC-favorable shapes 2. TB-driven catalytic cycling 3. Delta L inversion surfaces that act as proto-membranes 4. Emergence of self-referential registry loops The paper also provides experimental validation pathways, including mappings to NMR and ESR coherence times, spectroscopic signatures, soft-matter topological structures, and molecular simulation methods. Appendices describe how to connect the geometric variables to real laboratory observables and how the framework differs from standard coherence or relaxation models. This is the first fully geometric, chemistry-independent mechanism for abiogenesis within the Octomorphic research series.
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