In mathematics, the term "space-time" is often used to refer to a mathematical model that combines the three dimensions of space with the one dimension of time into a four-dimensional continuum. In this model, the four dimensions are treated as a single entity, and it is impossible to separate space from time.
In physics, the term "time-space" is often used to refer to the same concept, but with a different emphasis. In this context, the focus is on the relationship between space and time, and how the two are intertwined. For example, in the theory of general relativity, the curvature of space-time is what causes objects to move.
Ultimately, the terms "space-time" and "time-space" are just two different ways of expressing the same concept. There is no real difference between the two terms, and they can be used interchangeably.
