The book is part 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 is written by a retired physicist. Hans van Leunen MScHe started the Hilbert Book Model Project when he was 70 years.To feed his curiosity, Hans dived deep into the crypts of physical reality. He detected that more than eighty years ago, two scholars already discovered a suitable foundation of a mathematical model of the structure and behavior of physical reality. They called their discovery Hilbert space. The Hilbert Book Model Project explores this foundation by extending this structure to a system of Hilbert spaces and adds dynamics to the Hilbert Book Model.This approach is unorthodox and unconventional. It enters an area where many aspects cannot be verified by experiments and must be deduced by trustworthy mathematical methods. In this way, the project discovered new mathematics and new physics.The Hilbert Book Model appears to offer a very powerful and flexible modeling environment for physical theories.The model extensively applies quaternionic Hilbert space technology, and quaternionic integral and differential calculus. The project extensively exploits the capabilities of the existing versions of the quaternionic number system.The project explores the obvious modular design of the objects that exist in the universe. In contrast to mainstream physics, the Hilbert Book Model applies stochastic processes, rotations, and oscillations instead of forces and force carriers to control the coherence and the binding of modules.
1 Introduction With some arrogance, I dare to say that the most important part of the foundations of physical reality is now exposed. Some mysteries remain, but these can be clearly described. For me, these mysteries exist because my knowledge of mathematics does not allow me to explain the origin of these mysteries. It is also possible that this mathematics does not yet exist. The foundation of physics can be represented in a single sentence that reflects the structure and behavior of the observable universe. "The universe that manifests itself to researchers is one continuous film of the possible coverages of space with versions of number systems belonging to the associative division rings." 2 Explanation This short description can be explained by the observation that humans cannot think and communicate about things without providing these things with identification in the form of a name or pointer and a short compact description. The curious thing is that physical reality can function without these limitations. Yet physical reality also appears to have to adhere to strict rules and existing structures. The researchers have come to know these rules and structures to a large extent, and they formulate them in what they call mathematics and physics. Several researchers doubt whether people can discover the calculation rules that physical reality uses. Your writer does not belong to this group. My arrogance is based on my conviction that those with education at the level of a bachelor in exact sciences mathematics or physics should easily be able to follow the argument given here and check it as desired. With considerably less prior knowledge, a large part of the argument is easy to follow. I have done my best to make as many details as possible freely accessible. Many treated subjects that are accessible on the internet are pointed to by in brackets enumerated URLs. Because formulas scare off many readers, they are housed in separate places. This applies to the calculation rules, the bra-ket procedure of Paul Dirac, and important equations. The formulas are placed in a separate chapter. The formulas have already been published elsewhere.  ×