Are there any mathematical theories in which the increasing distance and absolute opposition of positive numbers and negative numbers is challenged?

For example, we are taught to believe that the higher the positive number, the *farther* it is away from the negative numbers. Positive infinity is the absolute polar opposite of negative infinity, and the gap between them is infinite.

However, might it be that a positive number reaches a point in which it actually becomes a negative number? Where, say, positive infinity = negative infinity? And where there is no gap but an overlapping?

In philosophy, there is the question of whether time is linear or cyclical. Can the same question be applied to mathematics?

Thanks!