HBM part8New (original) (raw)
This is part 8 of a multipart presentation on the Hilbert Book Model. This is a provocative part. It is also the last part of the multipart presentation.
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Features of the Hilbert Book Model
2012
The fundaments of quantum physics are still not well established. This book tries to find the cracks in these fundaments and explores options that were left open. This leads to unconventional solutions and a new model of physics. In order to optimize self-consistency, the model is strictly based on the axioms of traditional quantum logic. Traditional quantum logic is lattice isomorphic to the set of closed subspaces of an infinite dimensional separable Hilbert space. It means that the separable Hilbert space can be used as the realm in which quantum physics will be modeled. However, this would result in a rather
The Hilbert Book Model Project survey
The Hilbert Book Model Project survey
This survey treats 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.
This e-book is still in development phase. This e-book is the successor of Physics of the Hilbert Book Model http://vixra.org/abs/1307.0106 and it is a companion of the YouTube video http://youtu.be/yUXoN7oF2uQ 2 The Hilbert Book Model Game Colophon Written by Ir J.A.J. van Leunen The subject of this book is a new model that targets unexplored regions of physical reality.
2012
Every time when I read an article about the phenomena, which occur far from us in the universe, I'm surprised about the attention that this Farawayistan gets compared to the phenomena in the world of the smallest. Everything that happens there is dismissed with collective names such as “quantum mechanics” and “field theory”. Rarely or never the treatise goes deeper. In this sub-nano-world spectacular images, such as appear in stories about the cosmos are not available.
Report of the Hilbert Book Model Project
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 historic, current, and future dynamic geometric data that are stored in the quaternion based eigenspaces of operators. Quaternions store the data in a Euclidean space-progression structure. 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. The observer's view sees the model as a spacetime based structure that stores its dynamic geometric data with a Minkowski signature.
Physics of the Hilbert Book Model
Physics of the Hilbert Book Model, 2013
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.
Diving deep into the crypts of physics The Hilbert Book Model Project Survey
2019
This survey treats 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 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”.
PROBLEMS on SYZYGIES and HILBERT FUNCTIONS
2008
In this paper we list a number of open problems and conjectures on Hilbert functions and syzygies. Some of the problems are closely related to Algebraic Geometry, Combinatorics, and Hyperplane Arrangements Theory. Our aim is to stimulate interest, rather than to give a complete survey. When describing a problem, we sometimes state one or two related results, and give pointers to a few references, rather than giving an exhaustive list of references and what is known. A detailed survey of the covered topics would make the paper far longer than we (and perhaps, the readers) could handle. Our list of problems is certainly not complete. We have focused on problems that we see as most exciting, or important, or popular. We present three types of problems: Conjectures, Problems, and Open-Ended Problems. Some of the problems and especially the Open-Ended problems are general problems which point to interesting directions for exploration. The books [Ei] and [Pe] contain expository papers on ...