Implicate and explicate order: Difference between revisions

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=== The implicate order as an algebra ===

David Bohm, his co-worker [[Basil Hiley]], and other physicists of [[Birkbeck College]] worked toward a model of quantum physics in which the implicate order is represented in the form of an appropriate [[algebra]] or other [[Pregeometry (physics)|pregeometry]]. They considered [[spacetime]] itself as part of an explicate order that is connected to an implicate order that they called ''pre-space.'' The [[spacetime manifold]] and the properties of [[Principle of locality|locality]] and [[Nonlocal Aharonov–Bohm effect|nonlocality]] all arise from an order in such pre-space. A. M. Frescura and Hiley suggested that an implicate order could be carried by an algebra, with the explicate order being contained in the various [[Algebra representation|representations]] of this algebra.<ref>F. A. M. Frescura, B. J. Hiley: [http://www.bbk.ac.uk/tpru/BasilHiley/P12FrescandHiley3.pdf Algebras, quantum theory and pre-space], pp.&nbsp;3–4 (published in Revista Brasileira de Fisica, Volume Especial, Julho 1984, Os 70 anos de Mario Schonberg, pp. 49–86)</ref> (''See also:'' [[Basil Hiley#Implicate orders, pre-space and algebraic structures|Work by Bohm and Hiley on implicate orders, pre-space and algebraic structures]].)

In analogy to [[Alfred North Whitehead]]'s notion of 'actual occasion'<ref>A. N. Whitehead, <i>Process and Reality</i>, Corrected Edition, ed. D. Griffin and D. Sherburne (New York: Macmillan, 1978), pp. 18 ff.</ref>,Bohm considered the notion of ''moment''–a moment being a not entirely localizable event, with events being allowed to overlap&nbsp;<ref>David Bohm: ''Time, the implicate order, and pre-space,'' In: David R. Griffin: ''Physics and the Ultimate Significance of Time'', State University of New York Press, 1986, {{ISBN|0-88706-113-3}}, pp.&nbsp;177–208, [https://books.google.com/books?id=hXWKzPFgv_wC&pg=PA183 p. 183]</ref> and being connected in an over-all implicate order:<ref>David Bohm: ''Time, the implicate order, and pre-space'', In: David R. Griffin: ''Physics and the Ultimate Significance of Time'', State University of New York Press, 1986, {{ISBN|0-88706-113-3}}, pp.&nbsp;177–208, [https://books.google.com/books?id=hXWKzPFgv_wC&pg=PA189 p. 189]</ref>