The Two-Dimensional Time Equation

This monograph covers a newly proposed geometric model for the structure of time. By introducing a new time dimension that facilitates temporal evolution of the first, the proposed framework provides natural solutions to famously unresolved mysteries in physics. Using the analogy of a Möbius strip, it offers a new perspective into the flow of time, which is suggested to be an evolving, oscillatory cycle rather than a straight arrow. By inverting this Möbius strip, it suggests the reintroduction of past states in a subtly altered state due to the influence of entropy that ensures no two states in time can be fundamentally the same in all aspects. Through mathematically representing the geometry of the two time dimensions, which are perpendicular straight lines, it is found that there is a link between temporal evolution, and the principle of least action. This is further shown to be a fundamental reason for this principle, and a relation is derived to describe the likelihood of both classical and quantum mechanical paths. Additionally, managing to solve the issue of measurement decoherence, this theory, being experimentally testable, offers to introduce a new frontier in physics that deals with the fundamental nature of time itself.