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Respond to the question: Does game theory unify mathematics?

01/30/2007 05:37 AM by Doug; Does game theory unify mathematics?

I have been reading Game Theory [GT] literature, especially dynamic noncooperative with static, discete and continuous time; noting GT semantics in a prestigious journal.

NATURE - Current issue: Volume 445 Number 7126 pp339-458

1 - 'Infotaxis' as a strategy for searching without gradients p406
Massimo Vergassola, Emmanuel Villermaux and Boris I Shraiman
doi:10.1038/nature05464

2 - Comparison of the Hanbury Brown–Twiss effect [HBTE] for bosons and fermions p402
T Jeltes, ..., CI Westbrook, et al
doi:10.1038/nature05513

Please read editor's summary first, then article.

Infotaxis [and robotics] appear to be consistent with pursuit-evasion [P-E] games.
This is related to biophysics.

HBTE discusses the social life of atoms: HE-3 fermions and HE-4 bosons display bunching and anti-bunching [or attractor and dissopator] behavior.
Perhaps this type of high enegy physics [HEP] may be analyzed via P-E games.

Perhaps before there can be a grand unified theory of physics [both in mechanics and nature], there might be required a grand unified theory of mathematics.

GT appears to possibly encompass all branches of mathematics.

P-E may result in escape, equilibria or capture.

In nuclear physics, P-E may help explain:
escape: radioactice half-life
equilibria: stability of various electron shells about various nuclei
capture: k-capture. [Manage messages]