User talk:HansVanLeunen

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You do not need to be an educator to edit. You only need to be bold to contribute and to experiment with the sandbox or your userpage. See you around Wikiversity! --Dave Braunschweig (discusscontribs) 21:57, 10 April 2017 (UTC)

Talk Pages[edit]

Talk pages are typically for communication between users. You are welcome to also keep notes here if you wish, but your User:HansVanLeunen/sandbox or another user page might be a better choice. Let me know if you have any questions. -- Dave Braunschweig (discusscontribs) 21:57, 10 April 2017 (UTC)

--HansVanLeunen (discusscontribs) 07:50, 11 April 2017 (UTC)== Notes ==

I am a retired physicist. In 2011, when I was 70, I started the Hilbert Book Model project. The project investigates the foundation and the lower levels of the structure of physical reality. The project is treated on https://www.docs.com/hans-van-leunen and on http://vixra.org/author/j_a_j_van_leunen.

A short introduction of the model is provided below.

Foundation and lower levels of the structure of physical reality.


This entry supposes that physical reality possesses structure and that this structure bases on one or more foundations.

Foundations are necessarily simple. Quite probably the foundations were discovered long ago by intelligent people. The discovered foundations became part of the mathematical library. These founding structures are not observable. An important property of foundations is that they extend into higher level structures. After sufficient extensions, facets of the structures of physical reality become observable.

For example, all observable discrete objects in the universe appear to be modules or modular systems. Sets of elementary modules exist that together configure all other modules and that themselves are not componentized. Another example is that precise clocks exist that despite the fact that they are not connected, keep in sync.


In 1936 two scientists Garrett Birkhoff and John von Neumann introduced a rather simple structure that can suite as a foundation of quantum physics. Because thus structure closely resembled the structure of classical logic, the duo named their discovery quantum logic. Mathematicians decided to name it an orthomodular lattice. The set of closed subspaces of a separable Hilbert space shares its relational structure with the orthomodular lattice. A set of atoms of the orthomodular lattice corresponds to the set of rays that the members of an orthogonal base of the Hilbert space span. Rays are one-dimensional subspaces. At every instant, a ray represents an elementary module.

Hilbert spaces can only cope with number systems that are division rings. In a division ring, every non-zero member owns a unique inverse. Three suitable division rings exist. These are the real numbers, the complex numbers, and the quaternions. If the quaternions are selected, then the separable Hilbert space can act as a structured repository for the storage of the dynamic geometric data of the elementary modules. These data consist of a timestamp and a three-dimensional location. Dedicated operators store these data in their eigenspaces as quaternionic eigenvalues. The eigenspaces of the operators in the separable Hilbert spaces are countable. Every infinite dimensional separable Hilbert space owns a unique companion non-separable Hilbert space. In the non-separable Hilbert space reside operators that can have eigenspaces, which are continuums. It is possible to consider the non-separable Hilbert space to embed his separable companion.

Depending on their dimension, number systems exist in many versions that differ in their ordering. A Cartesian coordinate system followed by a polar coordinate system can perform the ordering of a version of a quaternionic number system.The inner product of pairs selects one of these versions for specifying its values. Versions of number systems can act as parameter spaces and the Hilbert can store these parameter spaces as eigenspaces of normal operators. The inner product selects the version that constitutes the background parameter space of the Hilbert space. The real part of this background parameter space corresponds to a subspace that scans over the whole Hilbert space as a function of progression. It divides the Hilbert space in a historical part, a static status quo, and a future part, It is possible to interpret the embedding of the separable Hilbert space into its non-separable companion as an ongoing process that occurs within the scanning subspace. Within the scanning subspace rays that are spanned by mutually orthogonal vectors represent the elementary modules.

A private mechanism that applies a stochastic process provides the location of the elementary module. Consequently, the elementary module hops around in a stochastic hopping path. After a while, the module matures statistically in a hop landing location swarm. The stochastic process owns a characteristic function that acts as a displacement generator for the swarm. The swarm owns a location density distribution and the characteristic function is the Fourier transform of that location density distribution. Consequently, the swarm behaves coherently and at first approximation, it moves as one unit.

The hop landings trigger a reaction of the embedding continuum in the form of a clamp. The name clamp is introduced by the author. A clamp is a spherical shock front. Its amplitude diminishes as 1/r with distance r from the trigger location. Clamps integrate into the Green's function of the embedding continuum. Due to the fact that they deform the embedding continuum, each clamp carries a standard bit of mass. However, the clamps are volatile. They quickly fade away. Only in dense swarms that are recurrently regenerated clamps can generate a persistent impression. This describes how elementary modules create a gravitation potential.

The platform on which the elementary module resides carries a parameter space that is private to the elementary module. The difference between the ordering of the private parameter space and the ordering of the background parameter space determines the symmetry flavor of the platform. The symmetry flavor corresponds to the symmetry-related charge of the platform. That charge locates at the geometric center of the platform. The elementary module inherits this symmetry-related charge and the charge interacts with the symmetry related field.

The model considers all modules as observers. Observers can read information that the creator stored at the instant of the creation of the model into the repository that consists of the combination of an infinite dimensional separable quaternionic Hilbert space and its non-separable companion Hilbert space. The observers can only access information that is stored with an earlier timestamp. In addition, the transfer through the embedding continuum converts the originally Euclidean format of the stored dynamic geometric information about the observed event into the spacetime format that the observers perceive. The spacetime format features a Minkowski signature.

Quaternionic differential calculus describes the behavior of the embedding continuum and the interaction between this continuum and pointlike artifacts. The hopping elementary modules play the role of the pointlike artifacts.

section removed--HansVanLeunen (discusscontribs) 12:06, 19 April 2017 (UTC)

I have started the Hilbert Book Model project. Hilbert_Book_Model_Project--HansVanLeunen (discusscontribs) 12:12, 19 April 2017 (UTC)

Subpages[edit]

Please stop creating subpages of the Hilbert Book Model Project in main space. Subpages may be created by simply adding a forward slash in the title, such as Hilbert Book Model Project/Multi-mix Path Algorithm. If necessary, use the following to create a new project subpage:

Dave Braunschweig (discusscontribs) 12:27, 25 April 2017 (UTC) Dave, Thanks for your advice. I now comprehend how to add subpages to the project. I will take your advice seriously. Greetings, Hans. --HansVanLeunen (discusscontribs) 14:20, 25 April 2017 (UTC)