Discontinuity II

 

Crossroads

I went down to the crossroads
Fell down on my knees
Down to the crossroads
Fell down on my knees
Asked the Lord above for mercy
Take me, if you please

A discontinuity is a crossroads.

I have suggested that there is a discontinuity that is formed when a function crosses its inverse. When this happens at a physical surface it is a physical discontinuity. But there are instances when it is NOT a physical discontinuity but only an apparent discontinuity.
https://dbeagan.blogspot.com/2024/09/rebound.html

At this crossroads there is the decision of  to whether to continue, or take the road which turns back, because the inverse goes in the opposite direction so one of its legs is in the direction from which the original function came. I have suggested that when this is the situation, such as occurs for example when the capacity of a road is reached, or the capacity of a water channel is reached, this crossroads is also the intersection between what is observable and that which is unobservable. At the crossroads there is the option of continuing into the unobservable or changing to the path at that takes you back to the observable. Lord, take me please into the unobservable.