Quantum calculus, also known as calculus without limits, focuses on the study of calculus concepts without the traditional limit-based framework. It simplifies certain mathematical processes and can be applied in various fields, including physics and engineering. The discussion draws a connection to parabolic calculus, referencing its portrayal in the movie "Source Code." The concept emphasizes the potential of quantum calculus as a more versatile mathematical tool. Overall, quantum calculus presents an innovative approach to traditional calculus methodologies.