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Physics of the Hilbert Book Model

Hans van Leunen

Published Aug 24, 2013• 0 citations
OpenAlex

Abstract

The Hilbert Book Model is the name of a personal project of the author. The model is deduced from a foundation that is based on quantum logic and that is subsequently extended with trustworthy mathematical methods. What is known from conventional physics is used as a guideline, but the model is not based on the methodology of contemporary physics. In this way the model can reach deeper into the basement of physics. The ambition of the model is rather modest. It limits its scope to the lowest levels of the physical hierarchy. Thus fields and elementary particles are treated in fair detail, but composites are treated marginally and only some aspects of cosmology are touched. Still the model dives into the origins of gravitation and inertia and explains the diversity of the elementary particles. It explains what photons are and introduces a lower level of physical objects and a new kind of ultra-high frequency waves that carry information about their emitters. Above all the HBM introduces a new way of looking at space and time.

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The Hilbert Book Model is based on a selected set of first principles and this foundation is extended by using trustworthy mathematical methods. The target of this project is a model that shows many features and phenomena that we know by observing physical reality. With other words the model is completely deduced. In advance the model is not called a model of physics. After a set of extension steps the model reaches some interesting results. At that instance a discussion might be started whether the model can be used as a model of physics. However, it is impossible to prove that this model gives a correct view of physical reality. In fact the models of contemporary physics face the same restriction. For this reason the project is formatted as a game. The participants of the game start with formulating well selected first principles and extend this foundation with trustworthy methods such that the target model shows many features and phenomena that we know by observing physical reality. In this way the Hilbert Book Model is just an instance of this game. The reader is invited to join the game or investigate and criticize the HBM.

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The Hilbert Book Model is the name of a personal project of the author. The model is deduced from a foundation that is based on quantum logic and that is subsequently extended with trustworthy mathematical methods. What is known from conventional physics is used as a guideline, but the model is not based on the methodology of contemporary physics. In this way the model can reach deeper into the basement of physics. The ambition of the model is rather modest. It limits its scope to the lowest levels of the physical hierarchy. Thus fields and elementary particles are treated in fair detail, but composites are treated marginally and only some aspects of cosmology are touched. Still the model dives into the origins of gravitation and inertia and explains the diversity of the elementary particles. It explains what photons are and introduces a lower level of physical objects and a new kind of ultra-high frequency waves that carry information about their emitters. Above all the HBM introduces a new way of looking at space and time.
The Hilbert Book Model is based on a selected set of first principles and this foundation is extended by using trustworthy mathematical methods. The target of this project is a model that shows many features and phenomena that we know by observing physical reality. With other words the model is completely deduced. In advance the model is not called a model of physics. After a set of extension steps the model reaches some interesting results. At that instance a discussion might be started whether the model can be used as a model of physics. However, it is impossible to prove that this model gives a correct view of physical reality. In fact the models of contemporary physics face the same restriction. For this reason the project is formatted as a game. The participants of the game start with formulating well selected first principles and extend this foundation with trustworthy methods such that the target model shows many features and phenomena that we know by observing physical reality. In this way the Hilbert Book Model is just an instance of this game. The reader is invited to join the game or investigate and criticize the HBM.
The objects that occur in nature can be categorized in several levels. In this collection every level except the first level is built from lower level objects. This collection represents a simple model of nature. The model exploits the possibilities that mathematical concepts provide. Also typical physical ingredients will be used. The paper splits the hierarchy of objects in a logic model and a geometric model. These two hierarchies partly overlap. The underlying Hilbert Book Model is a simple self-consistent model of physics that is strictly based on quantum logic. This paper refines quantum logic to Hilbert logic such that it more directly resembles its lattice isomorphic companion, which is a separable Hilbert space. The HBM extends these static sub-models into a dynamic model that consists of an ordered sequence of the static sub-models. The paper is founded on three starting points: • A sub-model in the form of traditional quantum logic that represents a static status quo. • A correlation vehicle that establishes cohesion between subsequent members of a sequence of such sub-models. • The cosmological principle. Further it uses a small set of hypotheses. It turns out that the cosmological principle is already a corollary of the first two points. The paper explains or indicates the explanation of all features of fundamental physics that are encountered in the discussed hierarchy which ranges from propositions about physical objects until composites of elementary particles. Amongst them are the cosmological principle, the existence of quantum physics, the existence of a maximum speed of information transfer, the existence of physical fields, the origin of curvature, the origin of inertia, the dynamics of gravity, the existence of elementary particles, the existence of generations of elementary particles and the existence of the Pauli principle.
The main subject of this book is a purely mathematical model of physical reality. The book acts as a survey of the Hilbert Book Model Project. The project concerns a well-founded, purely mathematical model of physical reality. The project relies on the conviction that physical reality owns its own kind of mathematics and that this mathematics guides and restricts the extension of the foundation to more complicated levels of the structure and the behavior of physical reality. This results in a model that more and more resembles the physical reality that humans can observe. The book treats several subjects that are directly related to the main subject. The book introduces new physics and new mathematics. The selected approach results in a self-creating model that offers a creator’s view and a far more restricted observer’s view. Observers get their information via the dynamic field that physicists call their universe. Observers only get historic information. The creator has access to the complete model. Most physical theories only provide the observer’s view.
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.
The main subject of this book is a purely mathematical model of physical reality. The book acts as a survey of the Hilbert Book Model Project. The project concerns a well-founded, purely mathematical model of physical reality. The project relies on the conviction that physical reality owns its own kind of mathematics and that this mathematics guides and restricts the extension of the foundation to more complicated levels of the structure and the behavior of physical reality. This results in a model that more and more resembles the physical reality that humans can observe. The book treats several subjects that are directly related to the main subject. The book introduces new physics and new mathematics. The selected approach results in a self-creating model that offers a creator’s view and a far more restricted observer’s view. Observers get their information via the dynamic field that physicists call their universe. Observers only get historic information. The creator has access to the complete model. Most physical theories only provide the observer’s view.