Soft Causality is the causality we have in the physical world.

It is not the strict deterministic causal chain that leads to the idea that there can be but one possible future for the universe.

It is not the causal chain that leads back to an Aristotelian prime mover that some have identified with God.

It is not the deterministic laws of classical physics that allow Laplace's Demon to see all times past and future - sub specie aeternitatis

Soft Causality is very simply the idea that most events are adequately determined by normal causes, but that some events are not precisely predictable from prior events. Their unpredictability leads us to call them uncaused events, which in turn become uncaused causes (causa sui) that start new causal chains.

The unpredictability is usually of minor importance. Uncaused causes do not produce the kind of "miracles" normally associated with the idea of the causa sui in scholastic theology. But they do break the causal chain of strict determinism, without denying causality.

Soft Causality gives us an Adequate Determinism.