Introduction to the Hilbert Book Model

 

The role of the observer

 

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The concepts of the Hilbert Book Model was explained at the DPG congress in Berlin at Tuesday march 18

http://www.dpg-verhandlungen.de/year/2014/conference/berlin/static/agphil10.pdf

 

What Image Intensifiers reveal

Tools

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.

See: What is underneath the wave function.

 

 

SPACE IS NOT STATIC

A model that starts with an existing concept of space and an existing concept of progression is fooling us. SPACE IS NOT STATIC.

 

For those that deny that non-observable features and phenomena exist and keep non-observable in the future: I challenge you to design a model that contains subjects such as progression and space without just stating them as already present concepts. Thus, these concepts must emerge in your model.

 

I bed that you cannot design such model without accepting non-observable features and phenomena that present a foundation of the model!

 

So, if I am right, then either all existing "physical models" are cheating us or they must also contain a foundation from which progression and space emerge.

 

Thus, if I am right, all models that do not support the emergence of progression and space must be classified as non-physical.

Insights change

The Hilbert Book Model started during the study of the author in the sixties on the TUE university in Eindhoven. The project paused during the author’s career in the industry. After his retirement, the author restarted the project in 2009. The project got its current name in 2011.

Since he restarted the Hilbert Book Model project, the insights of the author changed significantly.

You can follow this development via publications and his discussions on ResearchGate, on Science2.0 and on LinkedIn.

Since November 2011 the author publishes on his e-print archive at http://vixra.org/author/j_a_j_van_leunen

The Hilbert Book Model Project is documented in https://en.wikiversity.org/wiki/Hilbert_Book_Model_Project

An overview of the highlights is presented in “Structure in Physical Reality”; http://vixra.org/abs/1802.0086

 

 

 

Very old stuff

 

Time ticks

Time proceeds with rather fixed progression steps. It is a parameter that is more fundamental than any other physical feature. It underlies all dynamics.

 

Let us define for convenience the concept of “observed time”. The observed time clock ticks at the location of the observed item and travels with that item. We suppose that all observable items own such clock.

 

In a paginated space-progression model, all observed time clocks are synchronized. With other words in that model resides a universe wide time clock. The reason that the HBM is a paginated model is the fact that its foundation; the skeleton relation structure that is called quantum logic, offers no means to implement dynamics. A dynamic model uses an ordered sequence of these static models.

 

In a paginated model, the setting of the observed time clock equals the current value of the progression step counter. The clock tick corresponds to a progression step.

 

As a consequence in that model, the universe can be considered to be proceeding with universe wide progression steps from each static status quo to a subsequent status quo. It means that universe can be considered to be recreated at each progression step. This recreation occurs with a super-high frequency. It is the frequency with which the universe wide time clock ticks. Phenomena that occur with that frequency cannot be observed. Only their averaged effects can be observed. It also means that every lower frequency wave must be in synchrony with the universe wide clock or is chopped and can only live on as a modulation of a super-high frequency wave. Due to the unobservable super-high frequency progression seems to flow. In fact, it steps. Time ticks.

 

Such a view on space-progression is called a paginated space-progression model. In this model, each static status quo of the universe is described in a single page.

 

The observer and the observed item are linked via an information path. Via this path, the information is transported from the observed item to the observer. Despite the fact that this path possesses characteristic attributes, these attributes are usually not known by the observer.

 

Let us define for convenience the concept of “observer’s time”. The observer’s time clock ticks at the location of the observer and travels with the observer. We suppose that all observers own such clock. The observer uses this clock in order to estimate the time at the location of the observed item.

 

The observer also owns an observed time clock. The readings of the observer’s time clock and the observed time of the observed event will usually differ. The difference depends on the characteristics of the path that information must travel from observed item to observer.

 

Contemporary physics uses the spacetime model. It uses the observer’s time instead of universe wide time. The observer’s time clock ticks at the location of the observer. In the spacetime model, space and observer’s time are coupled via the local speed of information transfer. In the spacetime model, the observer’s time clock can be selected freely.

 

In general, the observed time setting at the location of an observed item cannot be measured directly. If the path and the local speed that information takes in order to arrive at the location of the observed item to the location of the observer are known, then for a given observation it is possible to derive an equivalent observer’s time. The path depends on space curvature.

 

In a paginated model, for all observed items the universe wide time clock has the same value. Thus, in that model, the observer’s time clock cannot be selected freely but must be derived from the universe wide time value at the observed event. This classifies the paginated space-progression model as a fully deduced model. That does not say that the paginated model is not a valid space-progression model.

The main criterion for the validity of the paginated model is the fact whether all observed time clocks can be synchronized.

If the paginated space-progression model exists, then this model and the spacetime model can be considered to be two different views of the same physical reality.

 

Static status quo descriptors

Another significant argument for the existence of a paginated space-progression model can be found in the foundations that were suggested at the advance of quantum physics. In 1936 John von Neumann and Garret Birkhoff wrote their famous paper about quantum logic and its lattice isomorphic companion; the set of closed subspaces of a separable Hilbert space. Inspection of these structures shows that they do not have a built-in means for implementing dynamics. These proposed models can represent a static status quo of a quantum physical system, but in order to represent dynamics, these models must be extended. In contemporary physics, this is done by making either wave functions or operators time dependent. However, it is also possible to attach a progression parameter to the whole model. This last choice means that the dynamic model is represented by an ordered sequence of sub-models that each represent a static status quo. With other words, this dynamic model is a paginated model.

Why quantum logic can be used as foundation

In no way, a model can give a precise description of physical reality. At the utmost, it presents a correct view on physical reality. But, such a view is always an abstraction.

Physical reality is very complicated. It seems to belie Occam’s razor. However, views on reality that apply sufficient abstraction can be rather simple and it is astonishing that such simple abstractions exist. Complexity is caused by the number and the diversity of the relations that exist between objects that play a role. A simple model has a small diversity of its relations.

Physical reality appears to have selected a skeleton relational structure as a means to keep the complexity of its constructs within bounds.

Mathematical structures might fit onto observed physical reality because its relational structure is isomorphic to the relational structure of these observations.

The part of mathematics that treats relational structures is lattice theory. Logic systems are particular versions of lattice theory. Classical logic has a simple relational structure. However, since 1936 we know that physical reality cheats classical logic. Since then we think that nature obeys quantum logic, which has a much more complicated relational structure.

Thus quantum logic seems to represent the skeleton relational structure that physical reality has selected in order to reduce complexity.

Mathematics offers structures that are lattice isomorphic to quantum logic. One of them is the set of closed subspaces of a separable Hilbert space. However, this set cannot be interpreted as a logic system. Interpreting the elements as construction elements would fit better. The Hilbert space adds the superposition principle to the skeleton relational structure of quantum logic. Via the eigenspaces of its operators, it adds a storage place for geometrical data.

 

The conclusion of this deliberation is that physical reality is not based on mathematics, but that it happens to feature relational structures that are similar to the relational structure that some mathematical constructs have. That is why mathematics fits so well in the formulation of physical laws. Physical laws formulate repetitive relational structure and behavior of observed aspects of nature.

The correlation mechanism

Without extra measures, a paginated model will lead to dynamical chaos. An external correlation mechanism must take care that sufficient coherence exists between the subsequent sub-models. However, this coherence must not be too stiff, otherwise again no dynamics will take place.

The correlation mechanism must perform quite a lot of complicated tasks and it is strange that contemporary physics assigns these tasks to quantum state functions or operators. These actors are better suited as storage places than as controlling bodies.

The tasks of the correlation mechanism are:

 

·       Embedding particles in the field that acts as the curved operating space.

·       Establishing the swarming conditions for elementary particles

·       Controlling the propagation of the wave fronts that implement the potentials of the particles

·       Storing data in eigenspaces of operators and in quantum state functions.

·       Supporting entangled systems and subsystems.

Stepwise development

See: Stochastic nature of quantum physics

Particles

An original Poisson process can be coupled to an attenuating binomial process that is implemented by an isotropic 3D spread function. This combined process can be considered as a generalized Poisson process that locally has a lower production rate. In this way, a 3D object distribution can be generated that at large production rates will resemble a 3D Gaussian distribution. That distribution can be described by two different descriptors. The first is a continuous object density distribution that can be interpreted as a probability density distribution. This descriptor has all aspects of the squared modulus of a wave function. The second description uses the sequence of generated objects. This sequence forms a stochastic path in 3D space. It can be interpreted as a path that is walked by a single object. Together, these descriptors describe an elementary building block that is characterized by a wave function and that during each production cycle walks along the mentioned stochastic micro-path.

You might agree that this comes close to the description of an elementary particle.

Extra restrictions set by the correlation mechanism

An extra restriction that is installed by the correlation mechanism is that the coherent discrete distribution of step stones that belong to an embedded particle can be characterized by a continuous step stone density distribution that exists in the embedding continuum. Further, the mechanism ensures that this continuous object density distribution can be characterized as a probability density distribution. If this is the case, then the object density distribution can be considered as the squared modulus of the wavefunction of the considered object. This describes the fundamental stochastic nature of the universe wide time clock model. These extra restrictions are far from obvious. The consequence is that the stochastic micro-path is generated in a recurrent fashion such that important statistical attributes are reinstalled in a cyclic fashion.

 

If after walking along the full micro-path the next walk keeps the average location of the step stones at the same location, then the object is considered to stay at rest or to take part in an oscillatory movement such that the micro-path is stretched along the path of the oscillation. If that is not the case, then the object is considered to move and the micro-path is considered to be stretched along the path of that movement.

Here the correlation mechanism will put another restriction that concerns the stretching of the micro-path along the movement or oscillation paths. This must occur such that that the Fourier transform of the density distribution of the step stones will reflect the probability distribution of the momenta that characterize the motion. This restriction reflects the impact of Heisenberg’s uncertainty principle.

 

Together these non-obvious additional restrictions present the model as a quantum physical system and support the particle-wave nature of the objects that are controlled by the correlation mechanism.

 

 

Universe wide time

Universe wide time ticks at a super-high frequency. Phenomena, such as waves, that run at this super-high frequency cannot be observed. Only their averaged effects can become noticeable. Potentials are typical examples of such averaged phenomena.

 

Other processes may run in sync with the universe wide time clock. These processes concern the recreation of parts of the universe. Most of these processes run at a lower cycle time. For example, the recreation of all aspects of a particle takes a large number of progression steps.

 

In contemporary physics, red-shift is measured and interpreted as space expansion. Further, the speed of information transport appears to be constant. The HBM takes this speed as a model constant. As a consequence space, expansion goes together with a similar expansion of the progression step. With other words, the universe wide time clock slows down as a function of progression.

Super-high-frequency waves

Super-high-frequency waves are special. Since all lower frequency waves are chopped, the super-high frequency waves are carrier waves for all other waves. These other waves are modulations or temporal averages of the super-high frequency waves. The background field that acts as our curved space is modulated by the super-high frequency waves.

 

 

The stuff from which we are made