ZME Science
No Result
View All Result
ZME Science
No Result
View All Result
ZME Science

Home → Science → Mathematics

Is there really a mathematical formula that predicts happy relationships?

In a recent TED talk, Hannah Fry outlines a mathematical formula that predicts long-lasting relationships. In her recent book, The Mathematics of Love, she discusses the findings of psychologist John Gottman who studied hundreds of couples over many years to find out what sets apart the happy couples from the miserable. Gottman than enlisted the help of a mathematician who correlated all the data the psychologists gathered and came up with an empirical formula that seems to predict if a couple will be happy together.

Tibi PuiubyTibi Puiu
July 6, 2015
in Mathematics, News, Psychology
A A
Share on FacebookShare on TwitterSubmit to Reddit

In a recent TED talk,  Hannah Fry outlines a mathematical formula that predicts long-lasting relationships. In her recent book,  The Mathematics of Love, she discusses the findings of psychologist John Gottman who studied hundreds of couples over many years to find out what sets apart the happy couples from the miserable. Gottman than enlisted the help of a mathematician who correlated all the data the psychologists gathered and came up with an empirical formula that seems to predict if a couple will be happy together.

Love equation
Photo: Alamy

Mathematicians, maybe under an compulsion to reduce things – even human feelings – to their abstract essence, have long tried to come with a mathematical formula for love. It sounds silly, but some have actually tried with mixed reports. Enlightened analyst and geometer Alexis Clairaut may have been the first mathematician to propose a love equation in the form of the Archimedean spiral.

Left: portrait of Clairaut. Right: his love equation (1745). V is the fixed fulcrum and the i's and I's moving clockwise represent the motion of its endpoint. Credit: Mathematics Without Apologies, Michael Harris
Left: portrait of Clairaut. Right: his love equation (1745). V is the fixed fulcrum and the i’s and I’s moving clockwise represent the motion of its endpoint. Credit: Mathematics Without Apologies, Michael Harris

“We seek the curve described by the endpoint of a body, initially vertical and pointing downward, that subsequently changes in length and position,”  Clairaut writes in the IXXth century.

As the years passed, “serious” mathematicians had moved on to more tangible things, discounting any idea of a love equation as absurd. It made its way into fiction though. In Jan Patocky’s late enlightenment novel, “The Saragossa Manuscript”, we meet the so-called geometer Don Pedro Velasquez – a prototype character that mockingly or not describes the absent-minded mathematician. At one point, the lead heroine of the novel, Rebecca, asks Don Velasquez if “this movement we call love, can it be calculated?” The context of the conversation was Rebecca’s bewilderment in the face of a paradox: a man’s love diminishes with intimacy, while the woman’s increases. Velasquez, ever the keen mathematician, jumps to her aid. “I have found a very elegant proof for all problems of this kind: let X….” Hilariously, the author doesn’t let Velasquez present his proof.

Don Pedro Velasquez' Intermediate Love Theorem. Black curve measures the decline of the man's love and the gray curve the increase of the woman's. The point P is the sweet spot - the intersection predicted by Velasquez.  Credit: Mathematics Without Apologies, Michael Harris
Don Pedro Velasquez’ Intermediate Love Theorem. Black curve measures the decline of the man’s love and the gray curve the increase of the woman’s. The point P is the sweet spot – the intersection predicted by Velasquez. Credit: Mathematics Without Apologies, Michael Harris

 

More recently, in cinema, Berkeley math professor Edward Frenkel explores the same theme in the 26-minute-long “Rites of Love and Math”, a movie he wrote, directed and played the leading role. The film has only two characters, a man in the throes of an existential dilemma and the woman he loves.  In the movie, Frenkel found the mathematical formula of love. But then he realizes that others could use his formula to cause harm — and that he must die to safeguard the world. He saves the formula by etching it into his lover’s body.

Love is a complicated equation. It’s been given mathematicians, of all people, headaches for centuries. But while scientists have yet to uncover the love equation – which in all likelihood can’t exist – the same can’t be said about relationships. Empirically, at least, there seems to be a formula that predicts if a couple will be in a long-lasting, happy relationship.

“In relationships where both partners consider themselves as happy, bad behaviour is dismissed as unusual,” Fry says.

“In negative relationships, however, the situation is reversed,” writes Fry. “Bad behaviour is considered the norm.”

Gottman along with mathematician James Murray found a pattern that predicted when these trends of negativity spiral out of control. When a threshold is reached, the equation predicts a high probability of the relationship ending.

RelatedPosts

Renowned mathematician Michael Atiyah claims to have solved the Riemann Hypothesis
This 100-Page Proof Claims to Have Solved the World’s Most Frustrating Math Puzzle: What’s The Largest Sofa That Fits Around a Corner?
Mathematicians use their skills to find the perfect cup of coffee
Mathematician may have revolutionized the theory of numbers… but nobody understands his proof

relationship equation

Though framed as “husband” and “wife”, it can be used to describe any couple, heterosexual or otherwise.

The most important factor that influences the well being of a couple is the mutual influence the husband and wife have on each other. The researchers found that when a husband behaves positively to his wife, like saying something nice about her or their life together, the wife will respond positively as well. In the same vein, negativity spirals into more negativity.

“The most successful relationships are the ones with a really low negativity threshold,” writes Fry. “In those relationships, couples allow each other to complain, and work together to constantly repair the tiny issues between them. In such a case, couples don’t bottle up their feelings, and little things don’t end up being blown completely out of proportion.”

In short, a happy couple will interact more often, bring up issues as they happen and work together to fix them.

“Mathematics leaves us with a positive message for our relationships,” Fry says, “reinforcing the age-old wisdom that you really shouldn’t let the sun go down on your anger.”

But is this all it boils down to when discussing happy relationships? Of course not, but, like Fry says, it gives to show at least just how important managing anger and negativity can be. A happy, long-lasting relationship is based on mutual support, understanding and, least not, love. The latter might never be explained in the form of an equation or variable of some sort.

via Science Alert.

Tags: loveMathematics

ShareTweetShare
Tibi Puiu

Tibi Puiu

Tibi is a science journalist and co-founder of ZME Science. He writes mainly about emerging tech, physics, climate, and space. In his spare time, Tibi likes to make weird music on his computer and groom felines. He has a B.Sc in mechanical engineering and an M.Sc in renewable energy systems.

Related Posts

Mathematics

Our Schools Have a Problem: Textbook Math Doesn’t Help in Real Life — and Vice Versa

byMihai Andrei
4 months ago
Mathematics

How To Solve Any Problem Using Enrico Fermi’s Back-Of-The-Envelope Math (And Some Common Sense)

byTibi Puiu
5 months ago
Science

There’s an infinity of infinities. And researchers just found two new infinities that break the rules of math

byTibi Puiu
5 months ago
Future

Opening the AI Black Box: Scientists use math to peek inside how artificial intelligence makes decisions

byTibi Puiu
5 months ago

Recent news

This Plastic Dissolves in Seawater and Leaves Behind Zero Microplastics

June 14, 2025

Women Rate Women’s Looks Higher Than Even Men

June 14, 2025

AI-Based Method Restores Priceless Renaissance Art in Under 4 Hours Rather Than Months

June 13, 2025
  • About
  • Advertise
  • Editorial Policy
  • Privacy Policy and Terms of Use
  • How we review products
  • Contact

© 2007-2025 ZME Science - Not exactly rocket science. All Rights Reserved.

No Result
View All Result
  • Science News
  • Environment
  • Health
  • Space
  • Future
  • Features
    • Natural Sciences
    • Physics
      • Matter and Energy
      • Quantum Mechanics
      • Thermodynamics
    • Chemistry
      • Periodic Table
      • Applied Chemistry
      • Materials
      • Physical Chemistry
    • Biology
      • Anatomy
      • Biochemistry
      • Ecology
      • Genetics
      • Microbiology
      • Plants and Fungi
    • Geology and Paleontology
      • Planet Earth
      • Earth Dynamics
      • Rocks and Minerals
      • Volcanoes
      • Dinosaurs
      • Fossils
    • Animals
      • Mammals
      • Birds
      • Fish
      • Amphibians
      • Reptiles
      • Invertebrates
      • Pets
      • Conservation
      • Animal facts
    • Climate and Weather
      • Climate change
      • Weather and atmosphere
    • Health
      • Drugs
      • Diseases and Conditions
      • Human Body
      • Mind and Brain
      • Food and Nutrition
      • Wellness
    • History and Humanities
      • Anthropology
      • Archaeology
      • History
      • Economics
      • People
      • Sociology
    • Space & Astronomy
      • The Solar System
      • Sun
      • The Moon
      • Planets
      • Asteroids, meteors & comets
      • Astronomy
      • Astrophysics
      • Cosmology
      • Exoplanets & Alien Life
      • Spaceflight and Exploration
    • Technology
      • Computer Science & IT
      • Engineering
      • Inventions
      • Sustainability
      • Renewable Energy
      • Green Living
    • Culture
    • Resources
  • Videos
  • Reviews
  • About Us
    • About
    • The Team
    • Advertise
    • Contribute
    • Editorial policy
    • Privacy Policy
    • Contact

© 2007-2025 ZME Science - Not exactly rocket science. All Rights Reserved.