The Law of Alignment: A Domain-Independent Viability Constraint
Abstract
Scientific laws describe system behavior but remain structurally indifferent to persistence. Collapse frequently occurs without violation of governing equations. This paper proposes the Law of Alignment as a domain-independent viability constraint governing structured, capacity-limited systems. The Law formalizes a stock–flow condition in which net change must remain proportionally coupled to integrative capacity in order for persistence to remain viable. A deviation metric and normalized alignment index are introduced to quantify structural imbalance relative to capacity-adjusted baselines. Formal boundedness analysis demonstrates that sustained nonzero deviation generates unbounded trajectories in finite-capacity systems. A stochastic generalization shows that persistent drift increases boundary-breach probability toward certainty over sufficient time. Explicit falsifiability criteria and cross-domain operational definitions are specified. The Law of Alignment does not replace domain-specific laws; it defines the structural condition under which lawful dynamics remain compatible with sustained coherence. Empirical validation across independent domains is proposed as the next stage of evaluation.
Fields of Study & Subjects
Chaos
Complexity
and Education
Complex Systems and Dynamics
Nonlinear Dynamics and Pattern Formation
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 14 February 2026
- Document type
- Preprint