Some mathematical issues regarding a new approach towards quantum foundation

• URL: http://arxiv.org/abs/2411.13113v1
• Date: Wed, 20 Nov 2024 08:14:14 GMT
• Title: Some mathematical issues regarding a new approach towards quantum foundation
• Authors: Inge S. Helland,
• Abstract summary: The weakest possible theorem giving a foundation behind the Hilbert space formalism of quantum theory is stated. The necessary postulates are formulated, and the mathematics is spelled out in details.
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• Abstract: In this article the weakest possible theorem giving a foundation behind the Hilbert space formalism of quantum theory is stated. The necessary postulates are formulated, and the mathematics is spelled out in details. It is argued that, from this approach, a general epistemic interpretation of quantum mechanics is natural. Some applications to the Bell experiment and to decision theory are briefly discussed. The article represents the conclusion of a series of articles and books on quantum foundation.

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