What is the nature of these ‘Mathematical equations that describe human behavior’? Why is Fractal Regeneration, the mathematics of Information Dynamics, so well suited to the study and modeling of living systems? Why are matter-based formulas inadequate? Article Summary
All the equations of Information Dynamics are based in the mathematics of fractal Regeneration. By extension they apply to the systems that participate in this process – such as human beings. Fractal Regeneration doesn’t apply to physical things – radioactivity, populations, bodies and such – objects that just decay. It only applies to things like the quest for mastery, conversations, nutrition and such – things that need replenishing – due to the passage of time. As such all the equations are based in time (a function of time – f(t), in the lingo), the essence of decay.
In addition to time there is also an iterative factor in the base equation. A new data point, which changes erratically and somewhat unpredictably, is fed into the decaying system after a time segment of predetermined, constant duration. As the present decays, a fraction of the new (the iterative data point – the feed) is added to it – in the same proportion as the decay. This becomes the new present, which again decays, and is again augmented by a fraction of the new. And so on and so forth. In this fashion the current state remains the same, shrinks or expands, with each new input.
Note that flexible, variable, unpredictable feedback is not the business of hard science’s physical equations – as material stuff, i.e. matter, does obey the laws of predetermination when left to itself – no outside forces. Further the past is not overlaid on the present. It might even be asserted confidently that the goal of hard science is to convert and digest all of human experience into their dead equations. Some even believe this is possible.
This simple mathematical model of fractal regeneration applies to any system that must replenish itself to stay active – with the old morphing into the new state as it simultaneously decays and is refreshed – nutrition, creativity, and mastery. The advantage of a mathematical model is in its extension into similar families or fields of numbers. The reason it is called fractal regeneration is that the structural organization of the equations are fractal in nature.
Home Information Dynamics Previous Next Comments