Sunday, December 27, 2009

scientific cool

Is there objective value to the vernacular assertion that human communities are somehow "more cool" than communities of non-sentient metazoans, which are themselves somehow "spiffier" than communities of microbes alone? If so, a more scientific definition of the assertion's meaning might be needed for a start.

Imagine that "cool" in the vernacular applies to things that in some positive way show evidence of unexpectedness i.e. KL-divergence from ambient or correlation-surprisal in bits. These might include:
  • a blank or low-noise canvas (e.g. provided by that new carpet or that freshly painted fence),
  • smart engineering (e.g. found in that Mercedes-Benz or that new i-phone),
  • informed/evolved connections (e.g. discovered at a school reunion or in a new job),
  • and what else?
Other synonyms for cool which might be considered in this same context include:
  • keen, nifty, rad, amazing,
  • appealing, spiffy, neat,
  • just right, fashionable, in sync,
  • correlated, together, unflustered,
  • less random, chilly, heat sink,
  • and what else?
The simplest quantitative measure of coolness as unexpected harmony may be the surprisal of throwing N heads on the first toss of N coins. This is guess what: N bits! Other more familiar practical quantities that also show this quality of unexpectedness include:
  • available work e.g. in the form of food and gasoline,
  • the variety of species and number of niche-layers in a community,
  • and what else?
This might be a good place to expand futher on what these important quantities have in common.