The Universal Cell-Specific Biological Rejuvenation Hypothesis: An Existence Conjecture for Every Aging Cell in Every Living Organism

This paper proposes the Universal Cell-Specific Biological Rejuvenation Hypothesis: for every individual cell of every living organismthat is undergoing aging, there exists a corresponding biological process or biochemical formula to rejuvenate that particular cell. Theconjecture is deliberately universal: it concerns each aging cell, notmerely selected cell types, and permits different rejuvenation procedures for different cells and organisms. We express the hypothesisusing universal and existential quantifiers and represent a cell-specificbiological formula as a biochemical reaction-and-control system. Wereplace an independent damage–repair equation with an explicitly coupled system for damage, repair capacity and biological resources, provenonnegativity of all three state classes, and derive conditional rejuvenation criteria. We also formulate the hypothesis as a reachabilityand constrained optimization problem for the same living cell. Published results involving partial reprogramming in mammalian cells andage resetting in yeast provide evidence that biological rejuvenation ispossible in specific contexts. They do not establish that a rejuvenation formula exists for every aging cell. We provide a conceptualdiagram, mathematical propositions, experimentally testable predictions, an across-organism research program, and explicit criteria forevaluating the hypothesis without presenting it as a demonstrated biological law.1Keywords: cellular aging; cellular rejuvenation; universal biological hypothesis; cell-specific biochemical formula; partial reprogramming; coupleddynamical systems; positive invariance; biological control; reachability.