The Principle of Minimum Inconsistency as an Organizing Principle of Geodynamics

This paper develops a high-rigor theoretical interpretation of geodynamics within the framework of the Fractal Consistency Law (FCL) and its Principle of Minimum Inconsistency (PMI). The immediate empirical trigger is the recent demonstration that geological boundary events across the Geological Time Scale are temporally multifractal rather than homogeneously random. That finding is important because it shows that Earth history is hierarchically organized across broad temporal ranges and is therefore a legitimate domain in which a variational structural principle may be meaningfully tested. The paper advances four claims. First, the multifractal organization of geological time is strongly compatible with an FCL reading of planetary evolution as hierarchical release of structural inconsistency. Second, plate tectonics and fault evolution constitute a particularly strong extension domain because structural geology already employs optimization vocabularies such as work minimization and mechanically preferred pathways. Third, seismicity can also be interpreted within a PMI-compatible framework, but only at the level of stress redistribution and self-organization of the crust rather than as a naive minimization law for each individual earthquake. Fourth, a provisional geodynamic inconsistency functional is proposed in order to move from analogy to formal research programme. The paper distinguishes compatibility, explanatory promise, and proof; it therefore does not claim that current evidence demonstrates PMI in Earth science. Rather, it argues that the conjunction of multifractal geological time, work-sensitive fault evolution, and stress-organizing seismicity makes geodynamics one of the most fertile bridge domains yet identified for the FCL. The article concludes with a discriminating research agenda aimed at turning this bridge into a testable programme rather than a merely suggestive metaphysics.