Physics – General Physics
Scientific paper
2011-06-23
Physics
General Physics
12 pages (10 figs, 1 table, 53 refs) RevTeX, cf. http://www.umsl.edu/~fraundorfp/BayesianInformatics.html
Scientific paper
Established idea-sets may not update seamlessly. The tension between new and old views of nature is documented in Galileo's dialogs and now present in many fields. One evolutionary response may be to consider the simplicity of paths from {\em various} starting points to one goal. We illustrate with a look at two simplifications: The move from {\bf Lorentz-transform to metric-equation} descriptions of space-time, and the move from {\bf classical to statistical thermodynamics} with help from Boltzmann's choice-multiplicity & Shannon's uncertainty. Connections of the latter to {\bf correlation measures} behind available work, model selection, and layered complexity are also explored. New strategies are exemplified with Appendices on: anyspeed vector-velocity addition, the energy-momentum half-plane lost to finite lightspeed, the modern distinction between proper and geometric accelerations, single map-frame views of anyspeed acceleration, quantifying risk with a handful of coins, available work in bits, quantitative model-selection, and the evolution of analog/digital complexity.
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