As early as 1844, a German secondary school teacher Hermann Grassmann formulated his philosophical thoughts on the "origin of the elements" as a so-called "linear theory of expansion". As early as 1844, a German secondary school teacher Hermann Grassmann formulated his philosophical thoughts on the "origin of the elements" as a so-called "linear theory of expansion".
Eighteen years later, the linguistic genius of the time formulated his thoughts once again - but now "completely and in strict (mathematical) form". His second work, however, only led to the official recognition of Hermann Grassmann as the "most important German mathematician" of the new era after his death.
Today he is known as "the founder of vector calculus". However, he was not actually understood, neither then nor now. He never used the word "vector" or "scalar". His philosophy of "expansion" was also deeply suspect to the mathematicians (and physicists) of the time. Nevertheless, his mathematics is still valid today. Even the most modern physical theories (from Albert Einstein, to the quantum theories, to the string theories) are based solely on his first recognised boundary change between the so-called inner and outer world.
The fact that "linear expansion of the elements" is directly connected with the gain or loss of mathematical laws is now only slowly becoming apparent. However, the age of the New Physics cannot yet be fully explained with this knowledge alone.
At practically the same time, a mathematical system that seemed equally mystical at the time, the "quaternions", was devised in England. William Rowan Hamilton called it a "new science of pure time". It can be easily doubled and thus becomes the "octonions" and "sedenions", the hypercomplex number systems.
What was perceived by the leading scholars even at that time as an inexcusable "flaw" is also here the underlying loss of further mathematical laws. Since, at the latest with the first doubling (the "octonions"), no more areas of application were recognisable at that time either, the remaining quanternionists at that time at least tried to integrate their favoured system into the complex vector calculus around the year 1900. They succeeded, but the actual groundbreaking findings of W. R. Hamilton on the "science of pure time" were lost for the time being.
Thus, for 150 years, two seemingly competing mathematical systems have been opposing each other. Only Hermann Grassmann's has actually prevailed, and today forms the actual mathematical basis of quantum physics, - right up to the string theories. The quaternions of W. R. Hamilton have been rediscovered in more recent times (and used very successfully), especially by engineers and programmers. But even today, they are still only accorded the value of a special application tool. The two other hypercomplex doubling systems (octonions and sedenions) are still considered "mathematical toys", without physical application possibilities.
"New physics needs new mathematics" is one of the demands already made by many experts. To date, newly arising questions about the nature of entangled states, dark energy or dark matter cannot really be answered. Specialists know, for example, that today's "standard model of elementary particles" does not yet offer any explanation as to why which types of particles form the basic building blocks of matter or the (fundamental) forces. Theoretical physics lacks the necessary theory or suitable mathematics for this.
So the future of a New Physics is now to connect the two old mathematical systems with the open questions of current physics (and philosophy). What is information and what is energy? How can the emergence of the diversity of forms be understood from the infinitely small and in the infinitely large? How can a physical something emerge from the mathematical nothing?
In the book „absolut imaginär“, the information energetics combine n-dimensional vector calculus and hypercomplex number systems with the help of a new imaginary understanding of numbers. For example, they show for the first time which numerical ratios can be used to theoretically justify "energy values" of elementary particles.
A new understanding of mathematics thus once again proves to be highly relevant to science. In the end, it is not only the natural sciences that benefit from this, but also the humanities.
Since the term " New Physics" will no longer be "new" in the foreseeable future, a new book is currently being compiled. It will no longer speak of " New Physics", but only of "Holistic Physics".