The Mathematics of Jujutsu

In the 2nd century B.C. the great Greek mathematician Euclid, said, “The laws of nature are but the mathematical thoughts of God”. Whether we believe in a divinity or not it is interesting that over 2000 years ago Euclid understood how thoroughly mathematics permeates our lives. The foundation of many of the world’s greatest achievements could not have been accomplished without the application of mathematical formulas and principles. The physical laws of mathematics and nature were created by the effects of gravity on the earth and have been in existence since the beginning of time. Over the millenniums many scientists and mathematicians from Euclid to Aristotle, from Newton and Einstein have written about and expanded our knowledge of how mathematics affects our daily lives. The application of their discoveries has changed every facet of our lives.

Mathematics in all its forms has played a part in the discovery and construction or manufacture of everything from electricity to rocket ships and skyscrapers to automobiles. All the physical laws of nature whether gravity or friction, motion or energy can be defined and measured by mathematical formula. Using these laws and the mathematical formulas that explain them engineers build bridges that carry the weight of cars, busses and trucks while at the same time withstand all the pressures of wind, rain and snow. They are able to build tall building that don’t topple or collapse under their own weight or the forces of mother nature. These same laws teach us how to execute a throw, how and where to unbalance, and where is the most efficient use of our strength.

In 1687 Sir Isaac Newton published “Philosophiæ Naturalis Principia Mathematica” one of the most famous books in the history of science and the foundation for the worlds understanding of motion and gravity. Newton’s “ Three laws of motion”, his explanation, formulas and the ability to scientifically measure the role of force, gravity, momentum and friction on any activity leads us to our best and most efficient application of any movement or technique in the martial arts. Using Newton’s laws all the many facets of the martial arts become understandable, measurable, and most importantly explainable. The why, how and where of any technique can be evaluated. They can be practiced and understood from both a mechanical and intellectual perspective. It doesn’t matter if we are talking about the atemi of karate, the nagewaza and newaza of judo, the tenkan of aikido, or the ju of jujutsu, all follow Newton’s laws.

While this does not remove all the obstacles from learning and applying techniques, it can make that path more understandable and enjoyable. Teaching the body how to move, when to move and where to move instantaneously and without thought still requires years of training even when you understand all of these things intellectually. Science, in all its forms, adds to our understanding of why and how things need to be done. It can lead us to the most efficient use of, and application of any technique. It should shorten the length of time it takes for us to understand these things and appreciate the dedication of those who have spent years learning and now teaching and mentoring those techniques. Finally, and most importantly, it opens up the study of martial arts to everyone because if there are any “secrets” in the martial arts, they can all be discovered through time and the science behind each technique.