The Theory of n-Scales

We provide a theory of n-scales previously called as n dimensional time scales. In previous approaches to the theory of time scales, multi-dimensional scales were taken as product space of two time scales [1, 2]. n-scales make the mathematical structure more flexible and appropriate to real world applications in physics and related fields. Here we define an n-scale as an arbitrary closed subset of R-n. Modified forward and backward jump operators, Delta-derivatives and Delta-integrals on n-scales are defined.