{
  "annotation_id": "dd0f72ab-dd38-4fc9-bf9b-52d3aa399015",
  "date_created": "2026-03-02T18:00:56.985000Z",
  "date_modified": "2026-03-02T18:00:56.985000Z",
  "file_hash": "5fa8b37f043f1007497cf6a5d3627ad15ed7d55c31232e1b63c9cde1f5bd25a3",
  "private": false,
  "record": {
    "abstract": "The primary emphasis of this study has been to explain how modifying a cake\nrecipe by changing either the dimensions of the cake or the amount of cake\nbatter alters the baking time. Restricting our consideration to the genoise,\none of the basic cakes of classic French cuisine, we have obtained a\nsemi-empirical formula for its baking time as a function of oven temperature,\ninitial temperature of the cake batter, and dimensions of the unbaked cake. The\nformula, which is based on the Diffusion equation, has three adjustable\nparameters whose values are estimated from data obtained by baking genoises in\ncylindrical pans of various diameters. The resulting formula for the baking\ntime exhibits the scaling behavior typical of diffusion processes, i.e. the\nbaking time is proportional to the (characteristic length scale)^2 of the cake.\nIt also takes account of evaporation of moisture at the top surface of the\ncake, which appears to be a dominant factor affecting the baking time of a\ncake. In solving this problem we have obtained solutions of the Diffusion\nequation which are interpreted naturally and straightforwardly in the context\nof heat transfer; however, when interpreted in the context of the Schrodinger\nequation, they are somewhat peculiar. The solutions describe a system whose\nmass assumes different values in two different regions of space. Furthermore,\nthe solutions exhibit characteristics similar to the evanescent modes\nassociated with light waves propagating in a wave guide. When we consider the\nSchrodinger equation as a non-relativistic limit of the Klein-Gordon equation\nso that it includes a mass term, these are no longer solutions.",
    "arxiv_id": "physics/0503210",
    "authors": [
      "Edward A. Olszewski"
    ],
    "categories": [
      "physics.pop-ph",
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1119/1.2186330",
    "title": "From Baking a Cake to Solving the Schrodinger Equation",
    "url": "https://arxiv.org/abs/physics/0503210"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a031fedf-6a60-4e7b-9daf-f920dc2492c0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}