Theory of Local Optimism
The theory of Local Optimism assumes that there are many possible worlds; most are virtual, not lasting long enough to be observed; a few last long enough to be observed, and are called real.
Local Optimism states that real worlds are local optima; they are the best of all sufficiently similar possible worlds. Call such a possibility-neighborhood the “circumstances”; that which stands around; then local optimism says that any real world is as good as possible, under the circumstances.
This resembles Leibnitzian Optimism, which states that this is the best of all possible worlds. It says that this world is a global optimum; but Local Optimism says that this is a local optimum.
There may be many local optima, some better than ours, some worse. This leaves open the question of what is being optimized. Call any system of world-evaluation a “value field”. Real worlds exist at peaks in the value field.
Local optimization is a proven principle in physics and biology. Biological systems naturally evolve to maximize reproductive fitness. Physical systems obey a law of least action. Local optimism has these mathematical consequences:
Let the rate of change of value be called ‘improvement’, and the rate of change of improvement be called ‘acceleration’. Then at any local optimum, in every direction, improvement is zero, and acceleration is negative. This is the “Frown at the Peak”.
Any path from one local optimum to another must at first decline.
Any path from one local optimum to another must meet a Path Pessimum; the worst of all possible worlds along the path.
At any path pessimum, improvement is zero, and acceleration is positive. This is the “Smile in the Valley”.
A world ceases to be a local optimum when an ascending path appears, leading to a sufficiently different local optimum. Such paths can appear or disappear when the value-field changes. Therefore re-evaluation can create and destroy local optima.