Miracles and Mathematics

Is it possible to explain miracles using mathematics? I believe so. In fact miracles can be modeled as transition points in dynamical systems.

Generally speaking miracles are breakout events in otherwise what seems to be chaos. Suddenly life changes due to an event that comes like a bolt of lightning. A disease is cured or a lottery is won. Something impossible happens. These are considered to be miracles. Out of chaos some kind of stability is attained. How can this be explained using dynamical systems?

Chaos is a well known aspect of most nonlinear dynamical systems. These are systems that can be modeled as coupled partial differential equations. These systems can have very strange behavior depending on the initial conditions and inputs. Examples in real life are systems such as economic behavior of a billion people. What they buy and what they consume. Another example is a biochemical system in the body such as the endocrine system. These systems when stressed can exhibit multistable behavior. They can oscillate, spiral or otherwise appear chaotic. 

But all of a sudden such systems can shake this behavior and follow the trajectory of an asymptote. They suddenly appear normal. Normality is not stability. Abnormal systems too can appear to be stable. If one has diabetes, though this is abnormal, it is stable. I will write about this in another post.

When any system exhibits non linear behavior one can expect sudden changes. These changes for the lay person can appear to be miracles. 

Miracles are just transition points in nonlinear systems. Believe it or not. As a mathematician (albeit a lapsed one) I believe that any phenomenon can be explained using mathematics.