Hans van Leunen | Eindhoven University of Technology (original) (raw)

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Papers by Hans van Leunen

рятівна земля, 2023

This is the Ukrainian version of a series of PowerPoint presentation shows. The presentation is b... more This is the Ukrainian version of a series of PowerPoint presentation shows. The presentation is based on The Hilbert Book Model, and it derives from the English version with the title "Saving Earth."

HBM part 8

This is part 8 of a multipart presentation on the Hilbert Book Model. This is a provocative part.... more 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.

HBM VII

This is part 7 of a multipart presentation about the Hilbert Book Model project.

HBM VI

This is part 6 of a multipart presentation about the Hilbert Book Model project.

HBM V

This is part 5 of a multipart presentation about the Hilbert Book Model project.

HBM IV

This is part 4 of a multipart presentation about the Hilbert Book Model project.

HBM part III

This is part 3 of a multipart presentation about the Hilbert Book Model project.

HBM paert II

This is part 2 of a multipart presentation about the Hilbert Book Model project.

HBM part I

This is part 1 of a multipart presentation about the Hilbert Book Model project.

HBM Multipart Presentation

This is part of a multipart PowerPoint presentation. Part 7 will follow soon.

Models With respect to space and progression several models are possible and can coexist as valid... more Models With respect to space and progression several models are possible and can coexist as valid models of the space progression aspects of physical reality. We restrict ourselves to models that use a three dimensional space. This space may be curved. We will call this space operating space. Clocks In all models we will introduce two clocks. One clock, which is called proper time clock, ticks at the location of the observed item and travels with that item. This means that all proper time clocks can be synchronized. In the models we suspect that the proper time clocks are synchronized. In general proper time cannot be measured. It can only be observed when the observer is at least temporarily at the location of observed item. The second clock, called the coordinate time clock, ticks at the location of the observer. Coordinate time is always observable. Coordinate time differs from proper time and this difference depends on the path that information takes in order to arrive from the ...

The generation of number system explains most of the structure and behavior of our universe. A sy... more 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.

viXra, 2017

This document introduces the Wikiversity Hilbert Book Model Project and describes its current state.

viXra, 2018

Having mass stands for having the capability to deform the living space of the owner of the mass.... more 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 into nothing. Due to their simple structure, the generation of electrons encounters little problems. This enables the computation of the generation rate of their constituents.

viXra, 2016

The Hilbert book test model is a purely mathematical test model that starts from a solid foundati... more The Hilbert book test model is a purely mathematical test model that starts from a solid foundation from which the whole model derives by using trustworthy mathematical methods. The foundation restricts its extension. Also, the knowledge about physical reality serves as guidance, but the model is not claimed to be a proper reflection of physical reality. It is impossible to verify such claim. The mathematical toolkit still contains holes. These holes will appear during the development of the model and suggestions are made how those gaps can close. Some new insights and some new mathematical methods appear. The theory interprets the selected foundation as part of a recipe for modular construction, and that recipe applies 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...

The word space is used in many ways and most of these applications give this word a different mea... more The word space is used in many ways and most of these applications give this word a different meaning. This makes the notion of space very obscure. Already in the common life of humans takes the word space many different uses. Especially philosophers, mathematicians, and physicists have attributed a huge number of interpretations of the noun “space”. This has led to a huge number of different forms of space. Humans live in an environment that is characterized by space and time. This paper focuses on the most elemental meanings that mathematicians and physicists attribute to the word “space”. Next, the immediate extensions of this elementary space are investigated. Since physicists investigate our physical reality, the paper also investigates how physical reality treats the notion of space.

viXra, 2015

In its original form the Dirac equation for the free electron and the free positron is formulated... more 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 appear to apply different parameter spaces. The equation for the electron and the equation for the positron differ in the symmetry flavor of their parameter spaces. This results in special considerations for the corresponding quaternionic second order partial differential equation.

viXra, 2014

This is a compilation of quaternionic number systems, quaternionic function theory, quaternionic ... more 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.

рятівна земля, 2023

HBM part 8

HBM VII

This is part 7 of a multipart presentation about the Hilbert Book Model project.

HBM VI

This is part 6 of a multipart presentation about the Hilbert Book Model project.

HBM V

This is part 5 of a multipart presentation about the Hilbert Book Model project.

HBM IV

This is part 4 of a multipart presentation about the Hilbert Book Model project.

HBM part III

This is part 3 of a multipart presentation about the Hilbert Book Model project.

HBM paert II

This is part 2 of a multipart presentation about the Hilbert Book Model project.

HBM part I

This is part 1 of a multipart presentation about the Hilbert Book Model project.

HBM Multipart Presentation

This is part of a multipart PowerPoint presentation. Part 7 will follow soon.

viXra, 2017

This document introduces the Wikiversity Hilbert Book Model Project and describes its current state.

viXra, 2018

viXra, 2016

viXra, 2015

viXra, 2014

Grondvesten

Het Hilbert Book Model project heeft deze publicatie opgeleverd. De zoektocht naar een betrouwbar... more Het Hilbert Book Model project heeft deze publicatie opgeleverd. De zoektocht naar een betrouwbare basis van de fysieke werkelijkheid heeft veel tegenslagen gekend en verloopt traag. Als gevolg hiervan raakte de reguliere natuurkunde op een zijspoor. Kwantumveldentheorie, kwantumelektrodynamica en kwantumchromodynamica gebruiken het minimale actieprincipe als basis. Het Hilbert Book Model laat zien dat continuüms tot de derde fase van een speciale verzameling behoren en niet kunnen werken als basis van de wiskundige fysica. Dit document laat zien hoe de drie fasen van de speciale verzameling leiden tot een vectorruimte en getalsystemen, die van toepassing zijn op een systeem van Hilbertruimten waarin het lokale universum en een parallel multiversum kunnen optreden. Ook laat het document zien dat de wetenschap het Higgs-deeltje of het Higgs-veld niet als onderdeel van het standaardmodel moet beschouwen. In plaats daarvan zou het standaardmodel van de experimentele deeltjesfysici zich moeten beperken tot de elementaire fermionen.

This is part 7 of a multipart presentation that is devoted to the Hilbert Book Model.

The search for a reliable foundation of physical reality has had many setbacks and is slow. Side ... more The search for a reliable foundation of physical reality has had many setbacks and is slow. Side roads were taken that did not lead to the desired goal. This document shows that there is an alternative path that leads to a better result. This result can be reproduced in a single sentence. This very short summary does need the necessary explanation. The paper provides this explanation. The paper also shows the relation between the foundation and several aspects of physics, such as quantum physics, classical physics, optics, and cosmology.

Number systems and their symmetry play a crucial role in the explanation of our universe

Hilbert spaces are relevant because these extensions of vector spaces are capable of archiving se... more 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 bra-ket combination gives Hilbert spaces a range of unexpected capabilities. The fact that the quaternionic version of the bra-ket combination is practically unknown has a deep impact on the comprehension of the fundamentals of physical reality.

The Standard Model of Particle Physics and the Hilbert Repository, 2021

The word space is used in many ways and most of these applications give this word a different mea... more The word space is used in many ways and most of these applications give this word a different meaning. This makes the notion of space very obscure. Especially philosophers, mathematicians, and physicists have attributed a huge number of interpretations of the noun "space". This has led to a huge number of different forms of space. Humans live in an environment that is characterized by space and time. This paper focuses on the most elemental meanings that mathematicians and physicists attribute to the word "space". Next, the immediate extensions of this elementary space are investigated. Since physicists investigate our physical reality, the paper also investigates how physical reality treats the notion of space. This leads to a revolutionary new mathematical concept that is called the Hilbert repository. It exposes great similarity with part of the Standard Model of particle physics. This model exposes what experimenters have discovered about these elementary object types.

Elemental and Structured Spaces

The word space is used in many ways and most of these applications give this word a different mea... more The word space is used in many ways and most of these applications give this word a different meaning. This makes the notion of space very obscure. Already in the common life of humans takes the word space many different uses. Especially philosophers, mathematicians, and physicists have attributed a huge number of interpretations of the noun "space". This has led to a huge number of different forms of space. Humans live in an environment that is characterized by space and time. This paper focuses on the most elemental meanings that mathematicians and physicists attribute to the word "space". Next, the immediate extensions of this elementary space are investigated. Since physicists investigate our physical reality, the paper also investigates how physical reality treats the notion of space.

The Grand Structure of Physical Reality, 2020

This document concerns the discovery of the grand structure of physical reality in terms of mathe... more 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 storage medium that physical reality applies to store and retrieve prepared data. The repository can easily capture the dynamic geometric data of all objects that will ever exist in our universe. It can also archive the universe as a dynamic manifold and all other physical fields that play in the lifetime of the universe. This enables physical reality to prepare data in a creation episode in which no running time exists and play the story of all archived objects during a running episode in which a flowing time indicates the progression of that life story as an ongoing embedding process.
The investigation concerns a hierarchy of spaces that show increasing 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 platform appears always accompanied by several significant restrictions and understanding where these limitations come from is a much bigger problem. Today's mathematics is only just able to explain the restrictions of the Hilbert space. This no longer applies to the system of Hilbert spaces, which in this document is called the Hilbert repository. Current math cannot explain the restrictions and the extra features of the Hilbert repository. This fact will particularly interest those who are curious about the structure and behavior of physical reality. The approach is quite different from the usual path and provides other insights. The usual way tries to deduce new insights from what we know about classical physics. That path appears to be blocked.
The story makes it clear that only mathematics cannot provide a complete picture of reality, while experiments alone also cannot expose physical reality. The combination of mathematics and experimentation produces the best results.
The behavior of fields plays an important role in most theories. 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 quaternionic non-separable Hilbert spaces can represent these quaternionic fields in their continuum eigenspaces. Quaternionic functions can describe these fields. Quaternionic differential and integral calculus can describe the behavior of these fields and the interaction of these fields with countable sets of quaternions. All quaternionic fields obey the same quaternionic differential equations. The basic fields differ in their start and boundary conditions.
The paper introduces the concept of the Hilbert repository. It is part of a hierarchy of structures that mark increasingly complicated realizations of a purely mathematical model that describes and explains most features of observable physical reality. That model is the Hilbert Book Model.
Many of the subjects that are treated in this document cannot be found in standard textbooks. The paper treats the mathematical and experimental underpinning of the Hilbert Book Model.

De Werkelijkheid Onderzoeken, 2020

Dit onderzoek van de werkelijkheid loopt als een spannende detectiveroman. Het onderzoek maakt ge... more Dit onderzoek van de werkelijkheid loopt als een spannende detectiveroman. Het onderzoek maakt gebruik van een hiërarchie van ruimtes die verschillende gradaties van gecompliceerdheid vertonen. Het vinden van meer gecompliceerde ruimtes vormt geen groot probleem. Dit blijkt namelijk vrij eenvoudig. De stap naar een meer gecompliceerde vorm gaat steeds gepaard met een aantal significante beperkingen en het begrijpen waar deze beperkingen vandaan komen vormt een veel groter probleem. De huidige wiskunde is maar net in staat om de beperkingen van de Hilbertruimte te verklaren. Dat geldt niet meer voor het systeem van Hilbertruimten dat in dit document de Hilbert opslagruimte genoemd wordt. De huidige wiskunde kan de beperkingen en de nieuwe verschijnselen van deze structuur niet verklaren. Dit feit zal vooral hen die nieuwsgierig zijn naar de structuur en het gedrag van de fysieke werkelijkheid interesseren. De aanpak wijkt sterk af van de gebruikelijke weg en levert andere inzichten. De gebruikelijke weg tracht nieuwe inzichten af te leiden uit wat we weten over de klassieke natuurkunde. Het verhaal maakt duidelijk dat alleen wiskunde geen volledig beeld van de werkelijkheid kan bieden terwijl ook alleen meten de werkelijkheid ook niet bloot kan leggen. De combinatie van wiskunde en experimenteren levert nog het meeste resultaat op.

Exploring Reality, 2020

This examination of reality is running like an exciting detective novel. The research uses a hier... more 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 understanding where these limitations come from is a much bigger problem. Today's mathematics is only just able to explain the limitations of the Hilbert space. This no longer applies to the system of Hilbert spaces, which in this document is called the Hilbert repository. Current math cannot explain the restrictions and the extra features of the Hilbert repository. This fact will particularly interest those who are curious about the structure and behavior of physical reality. The approach is quite different from the usual path and provides other insights. The usual way tries to deduce new insights from what we know about classical physics. The story makes it clear that only mathematics cannot provide a complete picture of reality, while experiments alone also cannot expose physical reality. The combination of mathematics and experimentation produces the best results.

Basic physical fields are dynamic fields like our universe and the fields that are raised by elec... more 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 quaternionic non-separable Hilbert spaces can represent these quaternionic fields in their continuum eigenspaces. Quaternionic functions can describe these fields. Quaternionic differential and integral calculus can describe the behavior of these fields and the interaction of these fields with countable sets of quaternions. All quaternionic fields obey the same quaternionic differential equations. The basic fields differ in their start and boundary conditions. The paper introduces the concept of the Hilbert repository. It is part of a hierarchy of structures that mark increasingly complicated realizations of a purely mathematical model that describes and explains most features of observable physical reality. That model is the Hilbert Book Model. The paper treats the mathematical and experimental underpinning of the Hilbert Book Model.

The correct specification of the concept of physical fields requires a platform in which these ph... more 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 quaternionic number system. Quaternionic fields are constructed eigenspaces of normal operators in a quaternionic Hilbert space. The base model supports symmetry-related fields and a field that always and everywhere exists. It acts as a repository for dynamic geometric data.

"Base Model" is a pictorial overview of highlights of the paper "Quaternionic Field Theory". That... more "Base Model" is a pictorial overview of highlights of the paper "Quaternionic Field Theory". That paper contains part of the content of "A Self-creating Model of Physical Reality". These documents support a purely mathematical model of physical reality that starts at a simple foundation and automatically extends into more complicated levels of the structure and behavior of physical reality.

The main subject of this book is a purely mathematical model of physical reality. The book acts a... more 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 historical information. The creator has access to the complete model. Most physical theories only provide the observer’s view.

Het belangrijkste onderwerp van dit boek is een puur wiskundig model van de fysieke werkelijkheid... more 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 de fysieke werkelijkheid. Het project berust op de overtuiging dat de fysieke werkelijkheid zijn eigen soort van wiskunde bezit en dat deze wiskunde de uitbreiding van het fundament tot meer gecompliceerde niveaus van de structuur en het gedrag van de fysieke werkelijkheid begeleid en inperkt. Dit resulteert in een model dat meer en meer lijkt op de fysieke werkelijkheid die mensen kunnen observeren. Het boek behandelt verschillende onderwerpen die rechtstreeks verband houden met het hoofdonderwerp. Het boek introduceert nieuwe fysica en nieuwe wiskunde.

De geselecteerde aanpak resulteert in een zichzelf creërend model dat de zienswijze van een schepper en een veel beperktere waarnemersweergave biedt. Waarnemers krijgen hun informatie via het dynamische veld dat natuurkundigen hun universum noemen. Waarnemers krijgen alleen historische informatie. De schepper overziet het hele model. De meeste fysieke theorieën bieden alleen de visie van de waarnemer.

The main subject of this book is a purely mathematical model of physical reality. The book acts a... more 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.

Gravitation and mass are explained by the fact that spherical pulse responses locally and tempora... more Gravitation and mass are explained by the fact that spherical pulse responses locally and temporarily deform the embedding field. Over time the spherical pulse response integrates into the Green's function of the field. The shape of the Green's function resembles the shape of the gravitation potential of point-like masses. At large enough distance an ensemble of massive objects acts as a single point-like mass. These ingredients explain how gravity works. The mass has a significance of its own and can characterize discrepant regions.

The Hilbert Book Model Project survey

This survey treats the Hilbert Book Model Project. The project concerns a well-founded, purely ma... more 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.

Dark Objects, 2018

Dark objects are field excitations that are caused by point-shaped actuators. The carrier field r... more 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.

This presentation is a sketch of many aspects of the Hilbert Book Model. The model is a purely ma... more This presentation is a sketch of many aspects of the Hilbert Book Model. The model is a purely mathematical model of physical reality. The Base model is a powerful and flexible modeling platform for modeling quantum and cosmological theories. The HBM introduces new mathematics and new physics.

HBM part 8

This is the last part of a multipart presentation on the Hilbert Book Model. This part is intenti... more This is the last part of a multipart presentation on the Hilbert Book Model. This part is intentionally provoking. The HBM concerns the foundation of theoretical physics.

Hilbert Book Model I

This is part 1 of a multipart PowerPoint presentation