Hans van LeunenEindhoven University of Technology | TUE · Department of Applied Physics
Hans van Leunen
MSc
Writing papers at https://vixra.org/author/j_a_j_van_leunen
About
127
Publications
122,443
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Introduction
I am a retired physicist. I am the initiator of the https://en.wikiversity.org/wiki/Hilbert_Book_Model_Project
Find project highlights at
http://vixra.org/author/j_a_j_van_leunen
Additional affiliations
July 1995 - July 2001
Philips semiconductors
Position
- system for modular software design
Description
- sw components, component market, design tools, repositories, modular system integration
July 1987 - July 1995
Position
- scientific software developer
Description
- Development of scientific software Improvement of software generation process
August 1970 - July 1987
Education
April 2017 - December 2018
Wikiversity
Field of study
- Hilbert Book Model Project
September 1963 - August 1970
TUE
Field of study
- Physics
September 1958 - July 1961
HTS-chemistry
Field of study
Publications
Publications (127)
Het genereren van getallenstelsels onthult het grootste deel van de structuur en het gedrag van ons universum. Een systeem van Hilbertruimten die allemaal dezelfde onderliggende vectorruimte delen, beschrijft alle aspecten van het dynamische veld dat ons universum vertegenwoordigt.
A treatise of number systems commonly highlights the arithmetic of the number system but usually, it ignores the symmetries of the number system.
The generation of number systems reveals most of the structure and behavior of our universe. A system of Hilbert spaces that all share the same underlying vector space describes many aspects of the dynamic field that represents our universe.
The generation of number system explains most of the structure and behavior of our universe. A system of Hilbert spaces that all share the same underlying vector space describes many aspects of the dynamic field that represents our universe.
The hopping path recurrently regenerates a hop landing location swarm. A stable location density distribution closely describes this swarm. The location density distribution has a Fourier transform. Thus, the swarm relates to a wave package. The location density distribution equals the square of the modulus of what physicists would call the wave fu...
Hilbert spaces are relevant because these extensions of vector spaces are capable of archiving sets of numbers in a structured way such that these data can be retrieved in a well-organized way.
Currently, textbooks about Hilbert spaces do not contain a treatise of Paul Dirac’s bra-ket combination for quaternionic numbers.
This paper shows that the...
In a few simple steps, the arithmetic of number systems leads to a structure that shows great similarity to the space that contains our universe.
Often it is difficult to mix the text of discussions with formulas. The formulas in this paper will be compatible with most discussion editors.
Ons universum is een voortdurende show van mogelijke dekkingen van de eenvoudige ruimte met locaties. Deze dekkingen fungeren als elementaire modules die kunnen samenwerken om conglomeraten te vormen die zich uiteindelijk manifesteren als modulaire systemen. Afgezien van deze verschijnselen, transporteren fotonen pakketten van energie en zwarte gat...
Our universe is an ongoing show of possible coverages of the simple space with locations. These coverages act as elementary modules that can cooperate to form conglomerates that finally manifest as modular systems. Aside from these phenomena, photons transport packages of energy and black holes deform continuums. Basic shock fronts act as dark obje...
Although people are intelligent, to be able to think about or discuss things, the subject in question must be given a name and a compact reliable description. Try doing it without these tools! Pointing and observing can sometimes serve as an alternative. The curious thing is that our living environment can function excellently without the subjects...
This paper treats several interesting aspects of the system of Hilbert spaces that describes our universe. It clarifies why our universe is a dynamic field.
In onze leefomgeving spelen een aantal groepen rekenregels een essentiële rol. Elke groep bedient een getalsysteem. Sommige van deze getalsystemen kunnen samengevoegd worden. Samen kunnen de getalsystemen ons heelal op allerlei wijzen overdekken. Deze overdekkingen bepalen de inhoud en de werking van het heelal.
The paper shows the subjects that determine the structure and the mechanisms of our universe.
Numbers play an important role in how we view our universe and its content
Hilbert spaces offer an excellent platform for modeling physical theories. Especially the system of Hilbert spaces that all share the same underlying vector space can easily adapt to everything that ever existed or will exist in our universe.
This paper offers a small and freely accessible textbook on advanced Hilbert space technology that is not easily found in standard textbooks on Hilbert spaces.
Physical reality reacts in an unexpected way when a coverage of space by point-like objects turns from countable to uncountable. This paper investigates what happens by applying a number system and a corresponding coordinate system to navigate over the set of point-like objects. The paper uses vectors to construct the number system and the vector s...
De fysieke werkelijkheid reageert op een onverwachte manier wanneer een overdekking van de ruimte door puntvormige objecten verandert van telbaar naar niet-aftelbaar. Dit artikel onderzoekt wat er gebeurt door een getallensysteem en een bijbehorend coördinatensysteem toe te passen om over de verzameling puntachtige objecten te navigeren. Het artike...
To investigate whether a theory makes sense is to use the theory to generate a concrete example. This is the purpose of this paper.
The paper shows that current physical theories are not using proper foundations that explain the structure and behavior of physical reality.
Many similarities exist between structures and mechanisms in mathematics designed by humans and structures and mechanisms applied by physical reality.
This document searches these similarities in the simplest structures and mechanisms and looks for extensions of these structures and mechanisms.
The Standard Model of particle physics is a useful report on what we think we know about these particles. It says nothing about our universe and it also does not say anything about the electromagnetic field, but it reports on electric charges and color charges. The Standard Model pretends to treat the elementary particles, but it does not describe...
This document concerns the discovery of the grand structure of physical reality in terms of mathematical constructs and mechanisms. The grand structure emerges from simple foundations and leads via spaces that show an increasing complexity to a system of Hilbert spaces that will be called Hilbert repository. This structure acts as a powerful storag...
This examination of reality is running like an exciting detective novel. The research uses a hierarchy of spaces that show varying degrees of complexity. Finding more complicated spaces is not a big problem. This turns out to be quite simple. The move to a more complicated form is always accompanied by several significant limitations and understand...
This is an rtf document that uses fonts that can be used in most discussion media; It concerns interesting parts of quaternionic differential calculus. Everybody can freely use these formulas.
This PowerPoint presentation treats many aspects of the Hilbert Book Model Project
The file contains text that is read aloud. This text is available in pdf format at https://vixra.org/author/j_a_j_van_leunen
The Zamzar.com utility is used to convert the pdf file to mp3
The PowerPoint presentation can be converted to mp3 format
The resulting video w...
Basic physical fields are dynamic fields like our universe and the fields that are raised by electric charges. These fields are dynamic continuums. Most physical theories treat these fields by applying gravitational theories or by Maxwell equations. Mathematically these fields can be represented by quaternionic fields. Dedicated normal operators in...
The PowerPoint presentation belongs to the paper "Quaternionic Field Theory"
The correct specification of the concept of physical fields requires a platform in which these physical fields can be defined. This platform represents a base model that emerges from a Hilbert lattice, a vector space, and a number system. The number system must be an associative division ring. Dynamic fields require the selection of the quaternioni...
The book describes a purely mathematical model of physical reality that acts as a self-creating model
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 guide...
Het belangrijkste onderwerp van dit boek is een puur wiskundig model van de fysieke werkelijkheid. Het boek fungeert als een overzicht van het Hilbert Book Model project. Het project betreft een goed gefundeerd, puur wiskundig model van fysische realiteit. Het project berust op de overtuiging dat de fysieke werkelijkheid zijn eigen soort van wiskun...
Het belangrijkste onderwerp van dit boek is een puur wiskundig model van de fysieke werkelijkheid. Het boek fungeert als een overzicht van het Hilbert Book Model project. Het project betreft een goed gefundeerd, puur wiskundig model van fysische realiteit. Het project berust op de overtuiging dat de fysieke werkelijkheid zijn eigen soort van wiskun...
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 guide...
Written by Msc J.A.J. van Leunen
The subject of this book is a purely mathematical model of physical reality. This book is written as an e-book. It contains hyperlinks that become active in the electronic version, which is archived at http://vixra.org/author/j_a_j_van_leunen.
Summary
This survey treats the Hilbert Book Model Project. The projec...
Written by Msc J.A.J. van Leunen The subject of this book is a purely mathematical model of physical reality. This book is written as an e-book. It contains hyperlinks that become active in the electronic version, which is archived at http://vixra.org/author/j_a_j_van_leunen. The file starts with a front cover and a back cover. You can take this fi...
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...
The Quantum Field Theories apply forces and force carriers to control binding, while the Hilbert Book Model applies stochastic processes to control coherence and binding. The stochastic approach is easier comprehensible and achieves similar results. The document compares both approaches.
Dark objects are field excitations that are caused by point-shaped actuators. The carrier field reacts with shock fronts. The effect of these excitations is so tiny that in isolation these phenomena cannot be observed.
The fundamental consideration of physical reality quickly leads to a story of creation, in which the whole course of creation of what occurs in the universe is told.
Physical reality has a modular structure. Consciousness gets introduced in the higher levels of the module hierarchy. Intelligence is introduced at the top level.
The target of this document is the explanation of the essentials of gravity and its characteristic, the mass of discrete objects. The paper explains the deformation and the expansion of fields by massive objects
Physical reality owns a main foundation. This paper exploits the possibility to trace the structure of physical reality from this foundation to higher levels that human observers can at least partly observe. To show the power of this approach the paper explains the origin of gravity and the fine structure of photons and elementary particles.
Obviously, physical reality possesses structure, and this structure founds on one or more foundations. These foundations are rather simple and easily comprehensible. The major foundation evolves like a seed into more complicated levels of the structure, such that after a series of steps a structure results that appears like the structure of the phy...
Energy appears in many forms, but this document focuses on the energy that can be transferred between particles. Particles have no limbs. Thus, the field that embeds them must transfer the energy via suitable field excitations.
The creator created the universe from scratch, and after that instant, the creator left his creatures alone. The observers under these creatures can read the historic part of the read-only repository in which the creator archived the universe.
This universe is very complicated and here and there it appears very chaotic. Still it is astonishing that all what exist is fairly well controlled and rather coherent. It is interesting to investigate how this coherence is obtained. Reality appears to apply a standard way of establishing coherence. Strange enough it applies stochastic processes to...
Mass is often seen as a simpel property of massive objects. This paper shows that mass is a very delicate concept and introduces incredible conclusions that seems to conflict with conservation laws.
Depending on its dimension, space that can be represented by number systems exists in many shades. The quaternionic number system provides 64 shades of space. Platforms that apply a private shape of space, float over a background platform. Modular systems of floating and combining platforms populate a universe that looks like the reality in which w...
Theoretic physics requires a trusted platform that can act as a base model for investigating the players that figure in these theories such as fields, discrete distributions, topologies, differential and integral equations. This paper provides such a platform or base model.
Obviously, physical reality possesses structure, and this structure founds on one or more foundations. These foundations are rather simple and easily comprehensible. The major foundation evolves like a seed into more complicated levels of the structure, such that after a series of steps a structure results that appears like the structure of the phy...
Having mass stands for having the capability to deform the living space of the owner of the mass. This description makes mass a very transient property that recurrently must be regenerated because deformations spread over the living space. Consequently, deformations quickly fade away. It looks as if mass generates out of nothing and then dilutes in...
Physical reality has structure, and this structure has one or more foundations. These foundations are rather simple and easily comprehensible. The major foundation evolves like a seed into more complicated levels of the structure, such that after a series of steps a structure results that is like the structure of the physical reality that humans ca...
Physical reality has structure, and this structure has one or more foundations. These foundations are rather simple and easily comprehensible. The major foundation evolves like a seed into more complicated levels of the structure, such that after a series of steps a structure results that is like the structure of the physical reality that humans ca...
Physical reality has structure, and this structure has one or more foundations. These foundations are rather simple and easily comprehensible. The major foundation evolves like a seed into more complicated levels of the structure, such that after a series of steps a structure results that is like the structure of the physical reality that humans ca...
Spherical shock fronts deform and expand their carrier. These excitations form the footprints of the particles.
To work efficiently with objects, it is not necessary to know the detailed structure of objects. It is sufficient to know the behavior of these objects.
Study of the physical reality can happen in two different ways that meet each other at a certain point and then complement each other.
Two kinds of super-tiny shock fronts represent nature's basic dark quanta. All other discrete objects in nature are configured by these dark quanta.
Physical reality archives its dynamic geometric data in a read-only repository. This repository emerges from its foundation which is an orthomodular lattice. The repository is a combination of a series of separable Hilbert spaces that share the same infinite dimensional vector space. For the definition of the inner product of pairs of vectors the s...
In contrast to the approach taken by mainstream physics, the Hilbert Book Model applies stochastic control of dynamic coherence and binding of module components. Each module owns its private stochastic process. All stochastic processes own a characteristic function.
This explanation of gravitation supports the idea that basic discrete objects are excitations of a field. These basic discrete objects are spherical shock fronts that carry a standard bit of mass.
The first order quaternionic partial differential equation can be considered as the mother of all field equations. Second order partial differential equations describe the interaction between point-like artifacts and fields. A direct relation exists with integral balance equations. Quaternions Quaternions constitute nature's natural number system....
Physical reality must be simple. This reasoning is the general idea behind Occam's razor. However, it is also a general physical principle.
Two and a half centuries ago, scientist discovered solutions of the wave equation that represent dark quanta. These quanta configure all other objects that exist in the universe. Dark quanta Two and a half centuries ago, scientist discovered solutions of the wave equation that are not waves but shock fronts. The discoverers did not notice that thes...
The ingredients of basic quantum field theory were discovered in the eighteenth century. In those times quantum physics played no role. In the twentieth century, these ingredients were forgotten and stayed ignored.
This document introduces the Wikiversity Hilbert Book Model Project and describes its current state.
Field equations occur in many physical theories. Most dynamic fields share a set of first and second order partial differential equations and differ in the kinds of artifacts that cause discontinuities. The paper restricts to first and second order partial differential equations. These equations can describe the interaction between the field and po...
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 stil...
Look around and you become easily convinced from the fact that all discrete objects are either modules or modular systems. With other words, the creator of this universe must be a modular designer. His motto is " Construct in a modular way ". However, also non-discrete items exist. Universe contains continuums and these continuums appear to relate...
Quantum physics applies Hilbert spaces as the realm in which quantum physical research is done. However, the Hilbert spaces contain nothing that prevents universe from turning into complete chaos. Quantum physics requires extra mechanisms that ensure sufficient coherence.
This paper is telling the essentials of the story of the Hilbert Book Test Model without applying the mathematical formulas. The paper cannot avoid the usage of mathematical terms, but these terms will be elucidated such that mathematical novices can still understand most of the story. The Hilbert Book Test Model is a way to investigate the part of...
Quaternionic Hilbert spaces can store discrete quaternions and quaternionic continuums in the eigenspaces of operators that reside in these Hilbert spaces. The reverse bra-ket method is an extension of the bra-ket notation that was introduced by P.M. Dirac. The reverse bra-ket method can create natural parameter spaces from quaternionic number syst...
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 stil...
When applied to a quaternionic manifold, the generalized Stokes theorem can provide an elucidating space-progression model in which elementary objects float on top of symmetry centers that act as their living domain. The paper elucidates the origin of the electric charges and color charges of elementary particles.
Hilbert spaces can store discrete quaternions and quaternionic continuums in the eigenspaces of operators that reside in these Hilbert spaces. The reverse bra-ket method can create natural parameter spaces from quaternionic number systems and can relate pairs of functions and their parameter spaces with eigenspaces and eigenvectors of corresponding...
Elementary fermions can be represented by couplings of two quaternionic fields. Each of these fields can be represented by a pair of a quaternionic function and a quaternionic parameter space. The parameter spaces and the functions differ in their symmetry flavor. The reverse bra-ket method can be used to relate these fields, the corresponding func...
By starting from an infinite dimensional quaternionic separable Hilbert space and its companion Gelfand triple as a base model, the paper uses the capabilities and the restrictions of this model in order to investigate the origins of some basic fields. A special method is introduced that generates normal operators and parameter spaces from existing...
This is a compilation of quaternionic number systems, quaternionic function theory, quaternionic Hilbert spaces and Gelfand triples. The difference between quaternionic differential calculus and Maxwell based differential calculus is explained.
In intimate cooperation, symmetry centers and coherent stochastic mechanisms recurrently recreate elementary physical objects. Symmetry centers are dedicated subspaces of separable quaternionic Hilbert spaces. As such they are no more and no less than structured storage places that feature special properties. The coherent stochastic mechanisms are...
By starting from a quaternionic separable Hilbert space as a base model the paper uses the capabilities and the restrictions of this model in order to investigate the origins of the electric charge and the electric fields. Also other discrete properties such as color charge and spin are considered. The paper exploits all known aspects of the quater...
Two quite different forms of differential calculus exist that both have physical significance. The most simple version is quaternionic differential calculus. Maxwell based differential calculus is based on the equations that Maxwell and others have developed in order to describe electromagnetic phenomena. Both approaches can be represented by four-...
In its original form the Dirac equation for the free electron and the free positron is formulated by using complex number based spinors and matrices. That equation can be split into two equations, one for the electron and one for the positron. These equations can easily be converted to their quaternionic format. The equation for the electron and th...
This paper starts from the idea that physical reality implements a network of a small number of mathematical structures. Only in that way can be explained that observations of physical reality fit so well with mathematical methods. The mathematical structures do not contain mechanisms that ensure coherence. Thus apart from the network of mathematic...
The dynamics of reality is well regulated. What is the mechanism that controls dynamics and what rules this mechanism? The models of contemporary physics do not answer these questions. In the realm of elementary particles the special habits of quaternions appear to play an essential role. In the past physics had a choice between the Maxwell based a...
It is possible to derive a model from well selected first principles that shows many similarities with what we know from observing reality. The presented model is based on first principles that formulate a recipe for modular construction and this foundation is mathematically known as an orthocomplemented weakly modular lattice. When starting from t...
If the duration of the emission, the duration of the passage and the duration of the absorption of photons depend on the progression value, then the consequence of the observation of red-shift for old photons will be that space is compressing rather than expanding.
This paper uses a completely deduced model in which messengers play a role that is...
Nearly all tools that quantum physicists use are in some way based on the concept of the wave function. This means that such tools deliver a blurred view of the fine grain structures and fine grain behavior that these tools describe. This appears no handicap for applied physics. The tools fill the complete need of applied quantum physics. However,...
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...
This is a slide show of the Hilbert Book Model project, which is presented in the form of a game
Paginated model The stochastic nature of quantum physics can best be comprehended by shifting to another space-progression model. This other model is called a paginated space-progression model and uses a universe wide time clock that ticks synchronously at the location of all observable items/events. As a consequence this model proceeds with univer...
Questions
Questions (88)
Projects
Projects (5)
The target of the project is a purely mathematical model of the foundation and the structure of the lower layers of physical reality.
Since the structure and behavior of these layers cannot be observed, the project applies a purely mathematical model that mimics reality. In this way, many philosophical problems are encountered and resolved.
Apart from new physics the project also develops new mathematics.
The project combines activities with https://en.wikiversity.org/wiki/Hilbert_Book_Model_Project. This project of the online wiki university treats all theoretical aspects in great depth. Many of the related papers are archived at http://vixra.org/author/j_a_j_van_leunen
Please open the project log.
The essential goal of the Manifesto Project is the critical reading of existing physical theories, the identification of critical points, and the proposal of new concepts and new theories.
Any genuine science and any theory are based on the common theory of knowledge. In physics, and in general in science, the theory of knowledge is based on the experimental scientific method, which defines two fundamental points
1. Observation of physical phenomena, and measurement of physical quantities that are involved in the physical process
2. Analysis of experimental data and identification of the more appropriate physico-mathematical model for describing the observed event.
Important specification: no one can change the project goal without the preventive agreement of the author of the project.
Daniele Sasso
