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Projective spinor geometry and prespace

F. A. M. Frescura

Foundations of Physics 18 (8):777-808 (1988)

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The implicate order, algebras, and the spinor.F. A. M. Frescura & B. J. Hiley - 1980 - Foundations of Physics 10 (1-2):7-31.details We review some of the essential novel ideas introduced by Bohm through the implicate order and indicate how they can be given mathematical expression in terms of an algebra. We also show how some of the features that are needed in the implicate order were anticipated in the work of Grassmann, Hamilton, and Clifford. By developing these ideas further we are able to show how the spinor itself, when viewed as a geometric object within a geometric algebra, can be given (...) Download Export citation Bookmark 14 citations
Quantum theory as an indication of a new order in physics. B. Implicate and explicate order in physical law.David Bohm - 1973 - Foundations of Physics 3 (2):139-168.details In this paper, we inquire further into the question of the emergence of new orders in physics, first raised in an earlier paper. In this inquiry, we are led to suggest that the quantum theory indicates the need for yet another new order, which we call “enfolded” or “implicate.” One of the most striking examples of the implicate order is to be seen by considering the function of the hologram, which clearly reveals how a total content (in principle extending over (...) Download Export citation Bookmark 13 citations
Quantum theory as an indication of a new order in physics. Part A. The development of new orders as shown through the history of physics.D. Bohm - 1971 - Foundations of Physics 1 (4):359-381.details In this paper, we discuss the general significance of order in physics, as a first step toward the development of new notions of order. We begin with a brief historical discussion of the notions of order underlying ancient Greek views, and then go on to show how these changed in key ways with the rise of classical physics. This leads to a broader view of the significance of order, which helps to indicate what is to be meant by a change (...) Download Export citation Bookmark 18 citations
The algebraization of quantum mechanics and the implicate order.F. A. M. Frescura & B. J. Hiley - 1980 - Foundations of Physics 10 (9-10):705-722.details It has been proposed that the implicate order can be given mathematical expression in terms of an algebra and that this algebra is similar to that used in quantum theory. In this paper we bring out in a simple way those aspects of the algebraic formulation of quantum theory that are most relevant to the implicate order. By using the properties of the standard ket introduced by Dirac we describe in detail how the Heisenberg algebra can be generalized to produce (...) Download Export citation Bookmark 6 citations

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