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AIP conference proceedings

Identity, Wholes, and Parts in Quantum Mechanics

Gregg S. Jaeger

Published Jan 1, 2011• 0 citations
Publisher
DOI
10.1063/1.3567425

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The most natural realist view of the physical world is one of independently existing bodies. The question of how one might yet represent quantum systems realistically, given its indeterministic nature and the presence of locally inexplicable distant correlations associated with entanglement, has continued to be central to the investigation of the foundations of quantum theory. Underlying the question is the grounding of individuality, which relates also to the relationship between wholes and parts. These issues and some recent attempts to address them are discussed here.

AIP conference proceedings•Jan 1, 2011•0 citations

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The most natural realist view of the physical world is one of independently existing bodies. The question of how one might yet represent quantum systems realistically, given its indeterministic nature and the presence of locally inexplicable distant correlations associated with entanglement, has continued to be central to the investigation of the foundations of quantum theory. Underlying the question is the grounding of individuality, which relates also to the relationship between wholes and parts. These issues and some recent attempts to address them are discussed here.
The most natural realist view of the physical world is one of independently existing bodies. The question of how one might yet represent quantum systems realistically, given its indeterministic nature and the presence of locally inexplicable distant correlations associated with entanglement, has continued to be central to the investigation of the foundations of quantum theory. Underlying the question is the grounding of individuality, which relates also to the relationship between wholes and parts. These issues and some recent attempts to address them are discussed here.
A solution to the part and whole problem is presented in this paper by using a complex mathematical representation that permits to define the Holon concept as a unit that remains itself in spite of complex operations such as integration and derivation. This can be done because of the remarkable isomorphic property of Euler Relation. We can then define a domain independent of the observer and the object where the object is embedded. We will then be able to have a Quantum Mechanics solution without the "observer drawback", as Karl R. Popper tried to find all his life but from the philosophical point of view and which was Einstein main concern about QM. A unit that has always similar or identical structure or form, despite even complex operations such as integration and derivation, is the ideal unit for the new sciences of complexity or just the systems sciences where structure or form, wholeness, organization, and complexity are main requirements. A table for validating the results obtained is presented in case of the pendulum formula.