This paper presents a technical framework for life emergence based on stabilization dynamics, rather than chance assembly or fine tuning. A minimal set of effective fields is introduced to describe (i) continuous energy–information throughput, (ii) boundary constraints that regulate this throughput, and (iii) persistence against destabilizing influences. From these ingredients, a stability criterion is derived that specifies when structured systems can remain long-lived rather than rapidly decaying. This criterion is formulated through sufficient inequalities that guarantee positive invariance—once stabilized (denoted in the ψ₀-OCM as a persistent PDS-1 state), the system does not spontaneously collapse—and Lyapunov-type stability, meaning that small perturbations do not destroy persistence. Under sustained stabilization and bounded destabilization, an internal coherence measure is shown to converge toward a non-zero steady state, indicating persistent organization far from equilibrium. Within this regime, adaptive feedback emerges generically as an attractor property of the dynamics, rather than as a finely tuned or exceptional mechanism. The result is a closed, internally complete mathematical scaffold that can be calibrated and specialized for applications in astrophysical, planetary, and biological systems, without assuming specific chemistry, environments, or microscopic implementations.
John Francis Osborne (Sat,) studied this question.
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