{
  "id": "0807.4337",
  "version": "v1",
  "published": "2008-07-27T23:58:10.000Z",
  "updated": "2008-07-27T23:58:10.000Z",
  "title": "Interaction between Truth and Belief as the key to entropy and other quantities of statistical physics",
  "authors": [
    "Flemming Topsoe"
  ],
  "comment": "announcement",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The notion of entropy penetrates much of science. A key feature of the all-important notion of Boltzmann-Gibbs-Shannon entropy is its extensivity (additivity over independent subsystems). However, there is a need for other quantities. In statistical physics a parameterized family of non-extensive entropy measures, now mainly known under the name of Tsallis-entropies, have received much attention but also been met with criticism due mainly to a lack of convincing interpretations. Based on the hypothesis that interaction between Truth, held by ``Nature'', and Belief, as expressed by man, may take place, classical- as well as non-classical measures of entropy and other essential quantities are derived. The approach aims at providing a genuine interpretation, rather than relying either on analogies based on formal mathematical manipulations or else - more fruitfully, but not satisfactory - on axiomatic characterizations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-27T23:58:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "94A17"
    ],
    "keywords": [
      "statistical physics",
      "interaction",
      "entropy penetrates",
      "all-important notion",
      "boltzmann-gibbs-shannon entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.4337T"
    }
  }
}