Six foundational frameworks that define the engineering approach to human longevity. Open access, peer-reviewed, implementation-ready.
A mathematical framework for guaranteeing uninterrupted biological function across cellular regeneration cycles. This theorem establishes the necessary and sufficient conditions for maintaining physiological continuity during autophagy, apoptosis, and stem cell differentiation — preventing the functional gaps that accelerate aging. Includes proofs, implementation constraints, and clinical validation protocols.
Read Paper →Optimal timing and ordering of longevity interventions for maximum synergistic effect and minimal interference. This law defines the energy-dependency graph of cellular processes, establishing which interventions must precede others to avoid metabolic conflicts. Includes temporal constraints, phase-transition windows, and sequencing algorithms for personalized protocol design.
Read Paper →A state-space representation of aging as a multi-phase process with distinct intervention opportunities. Defines six discrete biological states (NAD+ depletion, autophagic decline, senescent accumulation, signaling dysregulation, mitochondrial dysfunction, regenerative exhaustion) and the transition dynamics between them. Enables targeted intervention design based on current biological state rather than chronological age.
Read Paper →Defining the operational boundaries within which human biological systems maintain optimal function. Establishes the concept of the "viable zone" — the multi-dimensional parameter space where all critical biological processes remain within homeostatic limits. Aging is reframed as progressive deviation from this zone; longevity interventions are control inputs that restore and maintain viable-zone residence.
Read Paper →The minimal necessary and sufficient conditions for preserving biological viability across lifespan. Derives six fundamental requirements from Viable Zone Theory: energetic sufficiency, waste clearance capacity, signaling fidelity, structural integrity, regenerative capacity, and adaptive reserve. Proves that maintaining all six conditions is both necessary (violation of any one causes viable-zone exit) and sufficient (maintaining all six prevents aging-related decline).
Read Paper →Control-theoretic methods for designing intervention schedules that maximize healthspan under resource constraints. Formulates longevity optimization as a constrained optimal control problem: given a biological state trajectory, intervention cost functions, and viable-zone boundaries, compute the minimal-cost control sequence that maintains viable-zone residence indefinitely. Includes Hamiltonian formulation, Pontryagin's Maximum Principle application, and numerical solution methods.
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