Dynamical Totality as a Conceptual

Physics from Wholeness

Foundation for Physical Theories

By Barbara Piechocinska

Uppsala Dissertations from the Faculty of Science and Technology, No. 63

December 2005

Uppsala University Press

ISBN: 915546310X

122 pages, Illustrated, 6 ½ x 9 ½”

$42.50 Paper Original

This is a Ph.D. dissertation. Motivated by reductionism’s current inability to encompass the quantum theory, this dissertation explores an indivisible and dynamical wholeness as an underlying foundation for physics. After reviewing the role of wholeness in the quantum theory, a philosophical background is set aiming at introducing an ontology, based on a dynamical wholeness.

Equipped with the philosophical background, a mathematical realization is proposed by representing the dynamics with a non-trivial elementary embedding from the mathematical universe to itself. By letting the embedding interact with itself through application we obtain a left-distributive universal algebra that is isomorphic to special braids.

Via the connection between braids and quantum and statistical physics we show that a mathematical structure obtained from wholeness yields known physics in a special case. In particular we point out that the connections to algebras of observables, spin networks, and statistical mechanical models used in solid state physics, such as the Potts model. Further more, we discuss the general case and there the possibility of interpreting the mathematical structure as a dynamics beyond unitary evolution, where entropy increase is involved.

Physics; Philosophy

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