Ad Hominid Arguments
Sean Carroll and Luboš Motl have both written blog posts recently on the anthropic principle. I’ve touched on the subject in the past and I don’t have that much that I wish to add to my previous discussions.
But there is one pitfall of anthropic reasoning that — I believe — is behind a lot of people’s unease with the subject. It’s the propensity, if one is not very careful and self-critical, to lapse into telling anthropic “just-so” stories of the sort that permeate, say, the “discipline” of Evolutionary Psychology.
Take, for instance, the problem of baryon number violation. The observed lower limit on the proton lifetime is 20 orders of magnitude longer than the anthropic bound. The generic supersymmetric theory has dimension-4 baryon number violating operators and the coefficient, , of these operators must be highly suppressed, to satisfy the anthropic bound. To satisfy the observational bound, must be 4 or 5 orders of magnitude smaller, still. In a theory with low-energy SUSY breaking, this means we need to explain why the vacuum has a (very nearly) exact R-parity symmetry (), even though the anthropic bound is only . Split supersymmetry ameliorates the puzzle by making both observational and anthropic bounds on much weaker, but the 5 orders of magnitude discrepancy between them remains.
It was in this context that I hungrily fell on a suggestion by Nima Arkani-Hamed that the smallness of might have a different anthropic explanation. An approximate R-parity means that the lightest superpartner is approximately stable. To furnish a dark matter candidate, it should have a lifetime comparable to the age of the universe. Plug in the numbers, and you get something surprisingly close to the observational bound on in models of split supersymmetry.
Tada! The smallness of , and hence the observed proton longevity, is explained by the anthropic need for dark matter. Or it would be, if structure formation were utterly impossible in the absence of dark matter, and if an LSP were the only dark matter candidate available…
Posted by distler at October 19, 2004 12:20 AM
Re: Ad Hominid Arguments
It seems to me (as I’m sure I’ve mentioned) that anthropic reasoning is too often predicated on a failure of imagination.
After all, who’s to say that a lack of galaxy formation precludes intelligence?