<p>Your basin theory of math is somewhat true (though this is pretty much the case with everything). I know several people who are good in math but do not want to pursue it more than required (which, in most cases, would be a maximum of linear algebra, differential equations, and calculus). I feel I found myself getting more interesting in math once I left the confines of high school math. It’s a shame more people do not learn more math.</p>
<p>Yeah, this shows that the “charges” are quite malleable to social influences, especially when people are alternatively trapped in other basins. Perhaps people who have been pulled towards a particular basin are simultaneously less likely to “change” their “charges” (once they have been pulled into a particular basin). And perhaps people with similar “charges” are more likely to get along with each other, although some open people are more likely to get along with other charges, such as opposite charges.</p>
<p>One problem is - what of basins of different interpretations? For example, what if one person is trapped in several basins? (the problem with the traditional analogies is that an object can only be pulled towards one center of attraction). So I’m thinking of better ones.</p>
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<p>How is this physically represented? Simply overlapping basins? We are assuming that most basins are independent of another, yes? Does this require the development of a multiple basin theory? How about randomness within the basin – instead of having the traditional curved floor, how about something completely chaotic [multiple centers of attractions within a basin that are erratically spaced, and of are random magnitude]? We were talking about this before. Stochastic Basin Theory? :D</p>
<p>What would truly be beautiful is if we can generalize this to apply to completely random physical structures, and come up with some mathematics that can encompass both the natural and the social elements of the theory.</p>
<p>perhaps a basin is not the correct “shape.” However, if you look at the topology of the basin, the “shape” of the basin doesn’t matter too much =)</p>
<p>There IS a topological difference between the shape of a singularity and the shape of a really massive ball though. ^_^</p>
<p>Though strictly speaking, there are no singularities in this world. I don’t know of a better word than basin atm. ^_^</p>
<p>You pose excellent questions CT. Hm questions on similar lines of my thinking. ^_^</p>