The Indroduction of Transdimensional Number Theory

Transdimensional Number Theory (TNT) is a proposed branch of mathematics that explores the behavior of numbers across multiple dimensions of existence. Unlike traditional number theory, which assumes fixed laws of arithmetic, TNT introduces the concept of dimensionally contextual operations, where addition, subtraction, and other functions vary based on the 'dimensional layer' in which a number exists. TNT establishes a foundational set of operators, transformation rules, and abstract structures designed to formalize how mathematics may differ across transdimensional planes. This theory may have implications in theoretical physics, multiverse models, and dimensional computation.