This preprint presents the foundational structure of the Theory of Informational Selection (TSI), a framework that reconstructs physical ontology from correlational and informational principles. The work develops the concept of the Informational Totality, introduces the emergent geometry induced by Fisher Information, and explores the role of Quantum Fisher Information (QFI) as a partial experimental witness of the theory. Abstract: The Informational Totality is defined as the complete set of correlational structures that determine the emergence of physical degrees of freedom. This preprint develops the mathematical foundations of TSI, including the variational principles that govern informational selection, the geometry induced by Fisher Information, and the functorial formulation connecting correlational modes with emergent physical behavior. The work also discusses the role of quantum materials and collective electron states as potential experimental analogues for the emergent metric structure. The manuscript concludes with an outlook on future developments, including the extension toward cosmological regimes and the integration with quantum information theory. This document is the first formal installment of the TSI program and serves as the conceptual and mathematical basis for subsequent papers.
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Pablo Reyes (2026) studied this question.