When we ask a question about nature it simply means that we are curious to know about reality and its principles of working, research is the method to discover the hidden facts and phenomena of nature. From the time of appearance of human civilization, people began to investigate the laws of universe and perhaps the word "Research" may have came into origin. Mathematical research is the fundamental of all, because the equations of mathematics are widely used in many research areas, such as Physics and Chemistry. This book titled 'On the Foundation of Equations, mechanisms of reality' explains some equations which are essential in dynamics and mechanics and in physics. This book holds a collection of research in Mathematics and Physics, independently discovered by Deep Jyoti Dutta (the author of this book). This book is divided into two major sections named as "Mathematics Section" and "Physics Section", it contains the discovered mathematical mechanisms of modern physics and mathematics. The equations described in this book are accurate and precise to explain the concepts theoretically, and experimentally.