12.22.2007

Schrodinger's Cookies

There is the science of cooking...and then there are the cooking metaphors of science.

Half-Life: The time required to convert one half of a reactant to product. The term is commonly applied to radioactive decay, where the reactant is the parent isotope and the product is a daughter isotope. (About.com)

Half-Life of Baked Goods: The periodicity for about half the cookies to be missing. May also be applies to radioactive decay. This is especially short for snickerdoodles.


Schrodinger's Cat: We place a living cat into a steel chamber, along with a device containing a vial of hydrocyanic acid. There is, in the chamber, a very small amount of a radioactive substance. If even a single atom of the substance decays during the test period, a relay mechanism will trip a hammer, which will, in turn, break the vial and kill the cat. The observer cannot know whether or not an atom of the substance has decayed, and consequently, cannot know whether the vial has been broken, the hydrocyanic acid released, and the cat killed. Since we cannot know, the cat is both dead and alive according to quantum law, in a superposition of states. (WhatIs?com)

Schrodinger's Cookie: We place a living child into the kitchen, along with a parent capable of handing out punishments. There is, in the kitchen, a batch of cookies intended for a Christmas party. If even a single cookie is missing, the parent will send the child to its room. The first parent's back is turned. The other parent, in the living room, cannot know whether or not a cookie (see Half-Life of Baked Goods, above) has disappeared, and consequently, whether the child has been sent to its room. Since the parent cannot know, the child is both grounded and not grounded according to parental law, in a superposition of states. (Children grasp this thought experiment instinctively, i.e., "Eventually, Dad's going to come into the kitchen and steal a cookie, and I'm going to be blamed for it, so I might as well have one, too.")