An Approach towards Quantization of Non-Relativistic Open String Theory

For decades, scientists have worked relentlessly to move forward to see what lies beyond the third dimension and to find out if there is any existence of a unified theory to explain all the workings of the universe from sub-atomic to gigantic inhabitants of cosmos. This insurmountable task has been taken on by many over the last century or so until the emergence of "superstring theory" or "string theory" happened showcasing the fact that an answer seemed possible. From the concepts of a "string", our ideation on this theory started. In this paper we strived to put forward that the concept of a vibrating one-dimensional microscopic object named "string" can be taken as a fundamental ingredient (in place of point particle) for developing non-relativistic quantum mechanics. Unlike point particle, we take a vibrating string as the quantum object & build a perfectly reasonable quantum mechanical description of the microscopic world. Our main objective in this paper to show that complete development of quantum mechanics is possible based on one dimensional open string.