J. Mech. Cont. & Math. Sci., Vol.-17, No.-1, January (2022) pp 37-53 P. C. Bhattacharyya 37 AN INTRODUCTION TO THEORY OF DYNAMICS OF NUMBERS: A NEW CONCEPT Prabir Chandra Bhattacharyya Institute of Mechanics of Continua and Mathematical Sciences P-9, LIC Township, Madhyamgram, Kolkata – 700129, India prabirbhattacharyya@yahoo.com https://doi.org/10.26782/jmcms.2022.01.00003 (Received: November 2, 2021; Accepted: December 31, 2021) Abstract The role of numbers is very important not only in mathematics but also in any branch of science and technology. The author developed a new concept of the theory of dynamics of numbers. According to the new concept, 0 (zero) is the starting point of any number. There are infinite number of directions through which the numbers can move from starting point 0 (zero) and can return in the vertically opposite direction towards the starting point 0 (zero). The motion of any number (object) is positive whether it is forward motion or backward motion. Similarly, countup and countdown motions of numbers are also positive. Therefore, there is no existence of negative numbers. The author framed the law of the theory of dynamics of numbers. The author solved the quadratic equation in one countable unknown object or quantity (say x) in the form, ax 2 + bx + c = 0, even if the numerical value of the discriminant, b 2 – 4ac <0. The author applied the theory of dynamics of numbers to solve the problems of plane co-ordinate geometry and also to solve the problems of the quadratic equation in the present paper. Keywords: Cartesian Co-ordinate System, Dynamics of Numbers, Quadratic Equation, Rectangular Bhattacharyya’s Co-ordinate System, Theory of Numbers. I. Introduction A number is a mathematical object which is used to count, measure, or label any object [II]. Also, we can define a number as an arithmetical value that is expressed in words, symbols, or figures to represent a particular quantity of objects used in counting and making calculations [II]. We cannot find any negative object in the universe. Therefore, according to the definition of numbers, negative numbers cannot exist. So, – 1, – 2, – 3, – 4, – 5 ……… cannot exist Before the introduction of the theory of dynamics of numbers we need to discuss some objective issues related to numbers: -- JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES www.journalimcms.org 0 ISSN (Online) : 2454 -7190 Vol.-17, No.-1, January (2022) pp 37-53 ISSN (Print) 0973-8975