Quantitative Indicators of Viability: Toward a Formal Metric System in Vitology

The transition from conceptual descriptions of viability toward a rigorous scientific discipline requires the development of measurable indicators capable of describing, comparing, and predicting the viability of complex systems. Although numerous scientific fields employ quantitative measures related to resilience, stability, adaptation, robustness, sustainability, and system performance, no unified metric framework currently exists for evaluating viability as a universal scientific property across natural, biological, ecological, social, organizational, technological, and artificial systems. This article proposes the conceptual foundations of a formal metric system within the framework of Vitology. Rather than introducing finalized mathematical formulas, the study outlines a methodological program for developing quantitative indicators that may objectively characterize different dimensions of viability. The proposed framework emphasizes that viability should be represented as a multidimensional property rather than a single numerical value, integrating indicators of integrity, coordination, harmony, adaptation, regeneration, resilience, development, and environmental interaction. The article discusses scientific principles for constructing viability metrics, including conceptual consistency, mathematical validity, empirical verifiability, interdisciplinary applicability, and computational implementation. Particular attention is devoted to the role of the Space of Harmony as a multidimensional environment in which quantitative indicators can be analyzed collectively rather than independently. Artificial intelligence is considered an important methodological instrument for identifying informative indicators, estimating multidimensional relationships, refining computational models, and validating candidate metrics through comparative analysis of interdisciplinary datasets. However, AI is presented as a tool supporting scientific investigation rather than replacing theoretical reasoning or empirical validation. The proposed metric framework represents an important step toward the future mathematical formalization of Vitology and provides methodological foundations for developing quantitative models, computational algorithms, predictive diagnostics, and interdisciplinary methods for assessing the viability of complex systems. Keywords Vitology, viability metrics, quantitative indicators, formal measurement, mathematical modeling, computational modeling, systems science, artificial intelligence, Space of Harmony, Harmony Navigation, interdisciplinary research, empirical validation.