Fellow vegtablers,
I have come across a myth that has become tantalizingly difficult to either dispel or prove, but has much empirical and anecdotal evidence behind it: namely that when scaling recipes certain ingredients such as spices, salt, yeast and some herbs do not scale linearly. Typically the relationship for spices, yeast and salt is that when scaling up less should be used and for herbs, more.
As I am at work, I do not have my McGee tome "On Food and Cooking" otherwise I'd refer to it, and my coworker who scaled up his recipe for today's lunch potluck - with less than satisfactory results - is curious for an answer (as are my other coworkers who had to politely try to eat as much as they could).
I am looking for a SCIENTIFIC explanation that directly confronts this phenomenon, or a reason why it is in fact a myth. The internets is full of pseudo-scientific hand-waving and side-stepping of the issue with strange theories of volume-to-surface area ratios (for salt, really?), trying to blame inaccurate cooks' measures (would not yield consistent results), variability of hotness in spices (true, but missing the point), etc. Maybe the best explanation for spices is that when sizing up recipes cooking time often increases due to the fixed output nature of a home stove or oven and as a result spices gain potency with longer cooking times. Of course this does not explain salt, though yeast maybe could be explained by something similar but only if it isn't kept at a uniform temperature.
Thoughts? Clues? I humbly beseech you for help in illuminating an explanation for this troubling kitchen paradox.
Yours,
John