How and why do complex chemical and biological systems self-organize into ordered states far from thermodynamic equilibrium? Despite advances in thermodynamics, kinetics, and information theory, a unifying principle that links organization and efficiency across scales has remained elusive. If systems are open, the endpoints of the trajectories are restricted to the source and sink. We propose a stochastic-dissipative least-action triad framework in which (i) a path-ensemble weighting biases trajectories by their action cost, (ii) feedback processes sharpen this distribution, and (iii) the ensemble approaches a least-average-action attractor in steady state; otherwise it continues to decrease. We define a parametric cross-scale metric-Average Action Efficiency (AAE), the number of events over total action for them-and show that, under reinforcing feedback, identities derived from the exponential-family path measure imply decreasing average action and monotonically rising AAE. Our formulation could help bridge in its future extensions quantum, classical, and biological regimes while remaining computationally tractable because its empirical version relies on aggregate energetic and timing data rather than enumerating individual trajectories. At a non-equilibrium steady state, AAE reaches a local maximum consistent with the conditions and limitations of the current formulation. We connect AAE to thermodynamic and informational measures. A companion article (Part II) details empirical estimation strategies and applications.

