The Possible Dimension, Additional to Space-Time, which Physicists Ignore
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Abstract
In response to Wheeler’s challenge to find an element that is: “something that itself has no localization in space and time…pure knowledge … an atom of information” we suggest to account for Information as a di-mension. Its degrees of freedom are arithmetical (+-) and logical (if-then) forward and backward steps. While Space refers to gaps in distance, Time refers to change in instances, Information refers to a sequence of notions measured by the number of steps made (or bytes used) by a computer in order to perform (de-scribe or solve) a certain logical sentence or a sequence of logical sentences. In the attempt to quantifiably formulate the incorporation of Information into physical laws, we refer to Hamiltonian extended stationary principle in terms of Space, Time and an additional degree of freedom, suggested as an information state. The obtained Euler equation is demonstrated for the case of a thin rod under longitudinal vibrations, investi-gated by dimensionless analysis. It is shown that depending on the value of information and its rate, one may obtain dominant forms conforming to Poison’s equation in Space vs Information, wave equation in Time vs Information and the expected wave equation in Time vs Space.
- P. C. W. Davies and J. R. Brown “The Ghost in the Atom Interviews with John Bell, David Bohm and Basil Hile,” Cambridge University Press, Cambridge, 1986, p. 128.
- A. S. Issar, “Evolution of Intelligence in the Bio-World. Divine Action and Natural Selection: Questions of Sci-ence and Faith in Biological Evolution,” In: R. Gordon and J. Seckbach, Ed., World Scientific, Singapore, 2008.
- A. Einstein, “Geometry and Experience: Lecture before the Prussian Academy of Sciences on January 27, 1921,” In: A. Einstein, Ed., Ideas and Opinions, Crown Publish-ers, New York, 1954.
- A. Einstein, “On the Method of Theoretical Physics,” In: A. Einstein, Ed., Ideas and Opinions, Crown Publishers, New York, 1954, pp. 270-276.
- A. Einstein, “Physics and Reality,” Franklin Institute Journal Ditto, 1936, pp. 290-322.
- E. Wigner, “The Unreasonable Effectiveness of Mathe-matics in the Natural Sciences,” Communications on Pure and Applied Mathematics, Vol. 13, No. 1, 1960, pp. 1-14.
- A. Friedman, “English Translation in: On the Curvature of Space,” General Relativity and Gravitation, Springer Netherlands, Vol. 31, 1999. Original article in: T. Kaluza, “Über die Krümmung des Raumes,” Zeitschrift für Physik, Vol. 10, No. 1, 1999, pp. 377-386.
- P. Kerszberg, “The Invented Universe: The Einstein-De Sitter Controversy 1916 and the Rise of Relativistic Cosmology,” Oxford University Press, 1989.
- J. Farrell, “The Day without Yesterday: Lemaitre, Ein-stein and the Birth of New Cosmology,” Thunder’s Mouth Press, New York, 2005.
- P. S. Wesson, “Five-Dimensional Physics: Classical and Quantum Consequences of Kaluza-Klein Cosmology,” World Scientific Publishing, Singapore, 2006.
- S. W. Hawking, “A Brief History of Time—From the Big Bang to Black Holes,” A Bantam Book, 1988.
- J. Polchinski, “String Theory,” Cambridge University Press, Cambridge, 1998.
- M. Kaku, “Strings, Conformal Fields, and M-Theory,” Springer-Verlag, New York, 1999.
- M. E. Bitterman, “Phyletic Differences in Learning,” American Psychologist, Vol. 20, 1965, pp. 396-410.
- S. A. Kauffman, “The Origins of Order,” Self Organiza-tion and Selection in Evolution, Oxford University Press, New York, Oxford, 1993.
- W. Weaver and C. E. Shannon, “The Mathematical The-ory of Communication,” University of Illinois Press, Ur-bana, 1963.