Mathematical Law: A Functional Approach to Justice and Rights

This paper introduces a novel framework for jurisprudence based on mathematical functions, herein called Mathematical Law. The model formalizes individual rights, liabilities, penalties, and justice as parameterized functions, supporting systematic legal reasoning, algorithmic adjudication, and social optimization [1][2][3]. The functional approach enables precise quantification, consistent evaluation, and transparent simulation of legal processes.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this workl