Quantum Physics


The Hilbert Book Test Model

Authors: Hans van Leunen

The Hilbert book test model is a purely mathematical test model that starts from a solid foundation from which the whole model can be derived by using trustworthy mathematical methods. What is known about physical reality is used as a guidance, but the model is not claimed to be a proper reflection of physical reality. The mathematical toolkit still contains holes. These holes will be encountered during the development of the model and suggestions are made how those gaps can be filled. Some new insights are obtained and some new mathematical methods are introduced. The selected foundation is interpreted as part of a recipe for modular construction and that recipe is applied throughout the development of the model. This development is an ongoing project. The main law of physics appears to be a commandment: “Thou shalt construct in a modular way”. The paper reveals the possible origin of several physical concepts. This paper shows that it is possible to discover a mathematical structure that is suitable as an extensible foundation. However, without adding extra mechanisms that ensure dynamic coherence, the structure does not provide the full functionality of reality. These extra mechanisms apply stochastic processes, which generate the locations of the elementary modules that populate the model. All discrete items in universe are configured from dynamic geometric locations. These items are stored in a repository that covers a history part, the current static status quo, and a future part. The elementary modules float over the static framework of the repository. Dedicated mechanisms ensure the coherent behavior of these elementary modules. Fields exist that describe these elementary modules. An encapsulating repository supports these fields. Both repositories are formed by quaternionic Hilbert spaces. The model offers two interesting views. The first view is the creator’s view and offers free access to all dynamic geometric data that are stored in the eigenspaces of operators. The second view is the observer’s view. The observers are modules that travel with the vane, which represents the static status quo. The observers only perceive information that comes from the past and that is carried by the field that embeds them. This view sees the model as a spacetime based structure that stores its dynamic geometric data with a Minkowski signature.

Comments: 158 Pages.

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Submission history

[v1] 2016-03-03 03:42:29
[v2] 2016-03-19 17:00:56
[v3] 2016-03-25 05:56:29
[v4] 2016-04-05 14:05:10
[v5] 2016-04-10 03:26:31
[v6] 2016-04-28 07:52:19
[v7] 2016-06-20 07:52:36
[v8] 2016-07-03 14:37:45
[v9] 2016-07-14 11:39:08
[vA] 2016-08-06 14:11:43
[vB] 2016-09-03 15:36:16
[vC] 2016-10-09 09:39:01
[vD] 2016-10-21 15:46:17
[vE] 2016-12-11 08:09:16

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