I23i MATHEMATICAL PASSPORT OF RESIDUAL RECOVERY RESERVE RRR

This article consolidates the mathematical specification of candidate Residual Recovery Reserve (RRR) and the preserved computational results of the Vitology research programme. RRR is treated as a conditional threshold of the amplitude of a subsequent challenge under which a system remains safe and satisfies a predefined recovery criterion. The article presents the general functional, rules for indeterminate cases, an analytical example, a nonlinear implementation, an interval enclosure, and conditions for identifiability from observations. Reruns on 28 October 2026 reproduced the analytical examples and enclosed a robust model threshold between 0.094482421875 and 0.0946044921875 in input-amplitude units. This is a positive computational result conditional on the model, protocol, and correctness of the algorithm. It is not a measurement of reserve in a real organism, independent external certification, or recognition of a new SI unit. Data insufficiency, an unfavourable result for a particular predictor, and successful model computation are distinguished.

The article also presents a composite domain realization of HNU for an RC system, its mathematical similarity relation, limits of its connection to U_AV, and a programme for testing practical value.

Keywords: RRR; residual recovery reserve; safe recovery; identifiability; interval integration; inter-cycle viability; Vitology.