Structural Explosions: Domain Transitions in the Evolution of Complex Systems

Major historical transitions—from cosmic inflation and the Cambrian Explosion to technological revolutions—are characterized by abrupt bursts of novelty and rapid diversification. Within the Theory of Axiomatic Necessity (TNA), these events are formalized as structural explosions: critical transitions between distinct domains in a system’s global state space. This paper argues that such explosions occur when a system trajectory approaches a structural boundary ($\partial \Omega_s$), where internal constraints weaken and previously inaccessible regions of the state space become available. We demonstrate that these transitions follow a universal sequence: a constrained regime, a period of weakening constraints leading to rapid expansion, and final stabilization into a new structural domain with expanded configuration possibilities. By unifying examples from cosmology, biology, and economics, this framework provides a single structural law for the emergence of complexity across disparate scales.Core Reference: This work is an integral component of the Theory of Axiomatic Necessity (TNA) framework developed by Claudio Bresciano. It formalizes specific domain constraints within the global $N_1$ structural logic. For the complete axiomatic foundation, refer to the TNA System Manifest (DOI: 10.5281/zenodo.19115157) and the Core Theory (DOI: 10.5281/zenodo.18098558)