Romantic Partner Search: The Endogenous-Horizon Optimal Stopping Problem with Somatic Maintenance Trade-offs

Loneliness is a population-scale mortality risk, and its time-cost bites especially hard for adults who hope to build a family under a biological deadline. Individuals pursuing aggressive somatic optimization face a time-allocation trade-off that can be formalized through sequential search mathematics. Every hour spent on somatic maintenance, whether sleep protocols, training, nutrition, or longevity biohacking, extends the search horizon for a romantic partner and typically raises mate value. Every same hour is an hour not spent meeting people, so the rate at which new candidates arrive falls in direct proportion to the time spent in isolation. The body being optimized is useless to the project without someone to share it with. We formalize this trade-off by joining optimal stopping theory with life-history biology. Three results follow. First, the optimal allocation is bounded strictly below the full daily budget: even at arbitrarily high intervention efficacy (the "longevity escape velocity" limit), a rational searcher devotes no more than 50% of daily bandwidth to somatic maintenance in the symmetric-linear case, and less under diminishing biological returns. Beyond that line, isolation destroys more romantic value than infinite time can ever recover. Second, the asymmetric clock of female fecundity forces reservation thresholds to fall on a steep Riccati curve. Fertility preservation then becomes a high-stakes wager: it pays off when deployed early and with high clinic efficacy, and it backfires when deployed late or on low-efficacy interventions. Third, the model's abstract arrival rate λ maps onto an empirical, measurable construct, the Social Connectivity Value (SCV) framework (Schumacher, 2026), which specifies the weekly social floor that must remain protected and the corresponding cap on somatic investment. The prescription is precise: invest seriously in health, cap that investment at the (k−1)/(2k) ceiling derived below, and protect a weekly minimum of real-world social exposure as non-negotiable infrastructure. Longevity must serve the goal of flourishing, not become a sterile substitute for it.