Counting String Theory Standard Models
I saw a paper on the arXiv and couldn’t resist a (snarky) comment. Here is the abstract:
We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model of particle physics and the topological data of the internal manifold: the former scaling exponentially with the number of Kahler parameters. This is done by an estimate of the number of solutions to a set of Diophantine equations representing constraints satisfied by any consistent heterotic string vacuum with three chiral massless families, and has been computationally checked to hold for complete intersection Calabi-Yau threefolds (CICYs) with up to seven Kahler parameters. When extrapolated to the entire CICY list, the relation gives about 1023 string theory standard models; for the class of Calabi-Yau hypersurfaces in toric varieties, it gives about 10723 standard models.
Isn’t 10723 also the number of angels that can dance on the head of a pin? That number of models for the price of one theory looks like a bargain to me!
But, seriously, people often complain that string theory isn’t really scientific because it isn’t predictive. That clearly isn’t true. String theory is the most predictive theory ever: it can predict anything you want!
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In the Dark 
October 22, 2018 at 12:55 pm
“Faith is the substance of things hoped for, the evidence of things not seen.”
October 22, 2018 at 1:01 pm
“String theory is the most predictive theory ever: it can predict anything you want!”
It has some way to go to match economics, though…
October 22, 2018 at 1:58 pm
Nobody should be satisfied with a situation in which we cannot predict which of two recorders attached to a Stern-Gerlach apparatus will be triggered by the next electron. Perhaps if that question is addressed, the horrendous complexities of string theory will become superfluous.
October 22, 2018 at 3:51 pm
Proof of what proposition/claim/hypothesis? I don’t understand your comment. The aim of science is to improve testable prediction.
October 22, 2018 at 5:43 pm
That it is not easy to come up with a hidden variable theory is no demonstration that one doesn’t exist. It took a few centuries from Aristotle to Galileo as I recall.
The multiverse would fall in that case as it is based on quantum theory. The anthropic principle, done correctly, is fine (too often it isn’t done correctly), but it is not physics; rather it is an ontological explanation in an area other than physics.
October 22, 2018 at 2:52 pm
A Theory of Anything is not the same as a Theory of Everything.