Couples therapist skeptical: Mathematician claims to have found formula for love

A French mathematician claims he has discovered a formula to describe love, according to his new book published in both French and English. The professor, Laurent Pujo-Menjouet, argues that relationships can be modeled using differential equations, offering insights into whether a relationship will endure or end. His work, titled Love! Valour! Equations! Mathematics of the Couple, attempts to simplify human emotions through mathematical modeling. Pujo-Menjouet’s equation centers around P'(t), which represents the rate of change of affection over time. On one side of the equation, E stands for erosion, the inevitable process of becoming accustomed to one another in a relationship. Positive or negative random events, such as career advancements, financial difficulties, or infidelity, are captured by g(tk). R(t) measures how partners respond to these events, positive actions like apologies or gestures of affection following a negative occurrence. A critical threshold, M, determines whether feelings fall below a point where they inevitably fade to zero, leading to separation. Pujo-Menjouet believes that mathematics has already proven its value in physics, chemistry, and biology, and it is now time to apply similar tools to psychology. “We have extremely powerful theoretical tools,” he says. “Now it's time to take them out of our laboratories.” Rebecca Tyson, a mathematics professor at Canada’s University of British Columbia, acknowledges the potential of such models in the book’s preface. However, she cautions that human social behavior is highly complex and unlikely to ever be fully captured by any mathematical model. She emphasizes that while the approach could yield valuable insights, it should not be considered a complete explanation of human emotion. Guy Bodenmann, a psychologist and behavioral therapist at the University of Zurich who specializes in couples and families, shares this skepticism. While psychological research today can provide much information about how most couples maintain their love, he notes that predicting individual relationship trajectories accurately is impossible. “No mathematical formula will achieve this either,” he states. Bodenmann offers an example: nearly one in four divorces occur despite the couple being content with their relationship. This suggests that separations are influenced by factors beyond just love, including available alternatives, specific tipping points, or life events. These complexities make it difficult to predict outcomes based solely on emotional dynamics. Pauline Kleinschlömer, a researcher at Germany’s Federal Institute for Population Research (BiB), highlights the broader context of relationships. She notes that the average marriage lasts 14 years before ending in divorce. This statistic underscores the multifaceted nature of relationships, which involve more than just emotional connections. Factors such as economic stability, personal growth, and external pressures all play roles in determining the longevity of a partnership. The debate over whether love can be quantified continues among experts. While some see potential in applying mathematical principles to understand human behavior, others remain unconvinced. They argue that reducing love to numbers overlooks the depth and nuance of human experience. As discussions continue, the field of relationship science faces the challenge of balancing empirical analysis with the inherent complexity of human emotions. Researchers are expected to explore further the implications of such models, examining how they might complement existing psychological theories rather than replace them. Whether or not Pujo-Menjouet’s formula gains widespread acceptance, it has sparked renewed interest in the intersection of mathematics and human behavior.