A Principle Of Continuous Dynamics?

[Dubbelosix]

We have things like, a principle of least action, which states that systems tend to take the most efficient path through space, or conserve energy in the most efficient ways. There is also a principle of most action, where systems behave chaotically and in unpredictable ways.

 

As someone falls past the boundary of a black hole, in a metric way of thinking, it's their wordlines that are being destroyed at the singularity at the center. You would be effectively destroying the causal nature of the worldline, it would collapse to a point and be lost forever. This was how Hawking was originally thinking in how information may have been lost in a universe, since ''things'' as we understand them are destroyed at the singular region.

 

Should there be a principle that ensures that things are continuous in the sense that wordlines are well defined as a matter of instruction and mathematical procedure?

Edited July 6, 2017 by Dubbelosix