toe-modell

The most important visualisations of the TOE-Modell are presented here.

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Hermann Grassmann's misunderstood theory of expansion

Hermann Grassmann's misunderstood theory of expansion Here is a description of the current (mis)understanding of the essence of "vector calculus". From the first internalised (Grassmannian) expansion area Q-4, it goes, according to today's understanding, without having to observe any mathematical/physical limits, all the way into infinity. The key, however, lies in the understanding of imaginary numbers. Only with their help can the previously ignored limits be recognised in the first place. Here with detailed information of scientific publication https://doi.org/10.19219/TOE.20/322128 "Two mathematical systems combined."

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Two mathematical systems combined

The imaginary combination of two mathematical systemsIntegration of two apparently fundamentally different mathematical systems is shown here. At the top are the number systems of the misunderstood (Grassmannian) vector calculus, and below are the hypercomplex number systems. Both have "white" gaps, which are described by the other mathematical system. The central element of the TOE model are the imaginary numbers. Only with them is it possible to connect the two mathematical systems without contradiction. Here is only the representation of the TOE-Modell in miniature. The complete TOE-Modell is visualised in table 29.https://doi.org/10.19219/TOE.20/322128

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Mathematical laws and operations in the domains of emergence

Mathematical laws and operations in the domains of emergenceHere the valid, or no longer valid, mathematical laws and their effect on the emergence of the diversity of forms are described. https://doi.org/10.19219/TOE.2018.20/0024

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The significance of the imaginary numbers

The meaning of the imaginary numbers (entities)So far considered irrelevant, - the qualitative significance of the most important imaginary numbers. Understanding them turns out to be an important key, because real numbers (qualities) are to be interpreted differently than the imaginary numbers presented here.https://doi.org/10.19219/TOE.2018.20/0014

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The significance of the real numbers

The significance of the real numbers (qualities) Previously considered irrelevant - the qualitative significance of the most important real numbers. Understanding them turns out to be an important key, because real numbers (qualities) are to be interpreted differently than imaginary numbers (entities).https://doi.org/10.19219/TOE.2018.20/0015

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Numbers and domains of expansion in the TOE-Modell

Assignment of numbers and domains of expansion in the TOE-Modell A quality number can be assigned to each expansion area. This clarifies, among other things, under which conditions 2s quanta or 3s quanta arise. In this illustration, the naming of the limits is also added. https://doi.org/10.19219/TOE.2018.20/0020

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Rotations and Dimensions

The assignment from directions of rotation and dimensions in the domains of expansion This representation proved to be one of the most important representations for the development of the TOE-Modell. Thus, the number of internalised dimensions finally become generally understandable.https://doi.org/10.19219/TOE.2018.20/0021

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The Absolute

TOE-Modell, the Absolute Central mathematical element of the TOE-Modell. Delimitation of the domains of existence "i-0" and "i-1". Elementary for the understanding of imaginary units and wholes, or in the future with holism calculation.https://doi.org/10.19219/TOE.2018.20/0019

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TOE-Modell of the quaternions (I)

TOE-Model of the quaternions (I) Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus one of the central elements of the New Physics. To comprehend the essence of the quaternions, three different views of the quaternions are required. This file shows a basic visualisation of an holism (1) interacting with three imaginary entities in the domain of expansion Q-4.https://doi.org/10.19219/TOE.2018.10/0012

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TOE-Model of the quaternions (II)

TOE-Model of the quaternions (II) -External view-Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus one of the central elements of new Unified- / Holistic Physics. An outside view of the quaternions is here presented. https://doi.org/10.19219/TOE.2018.10/0013

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TOE-Modell of the quaternions (III)

TOE-Modell of the quaternions (III) Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus one of the central elements of new Unified- / Holistic Physics.Here, the zero space/ imaginary connecting space is visualised.https://doi.org/10.19219/TOE.2018.10/0015

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TOE-Modell of the octonions (I)

TOE-Modell of the octonions (I) - external view-Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus one of the central elements of a Unified- / Holsitic Physics. External view, octonions.https://doi.org/10.19219/TOE.2018.10/0017

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TOE-Modell of the octonions (II)

TOE-Modell of the octonions (II) - internal view-Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus probably one of the central elements of Unified-/ Holistic Physics. Internal view, octonions.https://doi.org/10.19219/TOE.2018.10/0018

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TOE-Modell of the sedenions (I)

TOE-Modell of the sedenions (I) - external view-Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus one of the central elements of Unified- / Holistic Physics. External view, Sedenions https://doi.org/10.19219/TOE.2018.10/0019

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TOE-Modell of the sedenions (II)

TOE-Modell of the sedenions (II) - internal view-Central element of the TOE-Modell. Visualisation of the hypercomplex number systems and thus probably one of the central elements of the New Physics.Internal view, sedenions.https://doi.org/10.19219/TOE.2018.10/0021

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Multiplication of the sedenions

Multiplication table of the hypercomplex numbersThe multiplication table of the hypercomplex numbers up to the sedenions. Actually nothing new, because known since about 1865. But with this representation, after some time one begins to literally see the connections of the imaginary units.https://doi.org/10.19219/TOE.2018.30/0027

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Hypercomplex zero divisor and interchange speeds -The quantum entanglement-

Hypercomplex zero divisor and interchange speeds in the domains of expansion -The quantum entanglement- Representation of the different interchange speeds in the respective domains of expansion.Central element of the TOE-Modell. The phenomenon of the physical entanglement is thus finally mathematically proven. https://doi.org/10.19219/TOE.2018.20/0025

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As large as in small

The TOE-Modell, as large as in smallThe domains of causation on a small scale and the domains of emergence on a large scale. Justification of the TOE-Modell, based on Grassmann's idea of expansion and the hypercomplex holistic calculation in connection with the mathematical laws.https://doi.org/10.19219/TOE.2018.20/0027

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Energetic classification

Energetic classification The domains of energy are already known to theoretical physics. Now they can finally also be assigned to mathematical laws. Especially of interest to theoretical physicists.https://doi.org/10.19219/TOE.2018.20/0028

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Dark energy and dark matter

Dark energy and dark matter Presentation of the areas of origin of dark energy and dark matter. Areas of formation on a small scale, areas of action on a large scale. The first is presented here. https://doi.org/10.19219/TOE.2018.20/0026

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Philosophical classification

Philosophical classification A comparison of mathematics and philosophy. Assignment of different fields of science on the basis of mathematics. Every philosopher can now also refer to the mathematically justifiable properties for each domaine of emergence. Ancient philosophy is thus finally getting back the recognition it used to receive. Hermann Grassmann was inspired by philosophical thoughts to formulate his mathematics (the vector calculus). https://doi.org/10.19219/TOE.2018.20/0030

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Laws in the domains of expansion Q-4 and Q-3

Laws in the domains of expansion "Q-4" and "Q-3" Here, the mathematical laws that apply or no longer apply and their effect on the formation of the forms are described. https://doi.org/10.19219/TOE.2018.20/0023

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Sign changes, rotations and dimensions

Sign changes, rotations and dimensions in the domains of expansionHere is an overview of directions of rotation and associated dimensions in the five most important domains of expansion. The imaginary range "i-1" corresponds to the n-dimensional range derived by Hermann Grassmann. Here we can see why the string theories thought that they were allowed to use an infinite number of dimensions according to the old (misunderstood) understanding of Hermann Grassmann. If, on the other hand, one orients oneself to the mathematical laws, then only the number of dimensions of the area of expansion can be applied. https://doi.org/10.19219/TOE.2018.20/0029

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The most important visualisations of the TOE-Modell are presented here.

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