Art and Knowledge Transfer

Keywords Isis and Osiris myth art and science geometry ancient Egyptian knowledge higher-dimensional space concepts ontology quantum information renate Quehenberger Independent researcher Quantum information traced back to ancient egyptian mysteries abstract There are strong indications that ancient Egyptian mythology contains knowledge about the nature of space up to higher dimensions and provides ontologic answers for the question about the creation of matter. This article examines the pentagonal interpretation of the myth of Isis and Osiris by comparing the iconographic details with recent findings from the art research project Quantum Cinema, where an interdis-ciplinary group of digital artists and scientists established a virtual space model for visualizing the usually non-perceivable processes in the microcosm on a Planck scale. At this scale, quantum mechanics applied to space itself leads to a discrete amount of quantum states. For this research, a new geometrical tool proved invaluable: the epitahedron. The double heptahedron named epitahedron (E±), a 3D Penrose kites and darts representation, confines the dodecahedron in many ways and seems to be Plato's fifth element. It is a 5D space cell, decorated with fragments of circles, which allows to visualize the permutations of symmetry elements within a discrete lattice (Z5). This higher-dimensional configuration is also the appropriate space to create a quantum-mechanical depiction of particles with inherent wave-like character by means of 3D animated geometry. Disguised in a mythological language the same subscendent space structure with the same golden polytope (E±) can be revealed: is this the origin of the concept of ether, the quintessence model which was a basic scientific task for the last 2500 years?

 Entropy Best Poster Awards at Linnaeus Conference: Towards Ultimate Quantum Theory (UQT) in Växö (Sweden) on 11–14 June, 2018.

Brilliant mathematical concepts describe physical realities on all different levels, but classical mechanics, relativity, electrodynamics and quantum mechanics are epistemologically separated by different mathe- matical notations and space concepts: while ART resides in 4-dimensional curved Minkowski space-time, QM requires at least 6 dimensions for one particle in phase space.
— Let’s assume, the diverging concepts do not require another formula but rather an epistemic reset which enables reinterpretations of physical phenomena from an unifying point of view:
In this regard visualizations of symmetries of physical phenomena in a higher-dimensional geometrical framework shall be useful.
The here suggested visualization model aims to unite features of different concepts such as Riemannian manifolds and Hilbert spaces, as a discrete dynamic hyper-Euclidean vector space.
It is derived from the geometry of the 5-dimensional space based on the 3D representations of the Penrose kites and darts tiling, which exhibits the principles of the Poincaré homology sphere. This is the space which works like a machine as required by group theory and may serve as a toy model for the universe as suggested by H. Poincaré.
The poster presents some cosmological structures therein such as Lorentzian symmetries in the 4D Kepler model on the large sale as well as for the depiction of ‘time‘. On the other hand it shows on the quan- tum level how the same 4-simplices which are constituting the higher-dimensional space, are serving as unitary representation of the Lorentz group in spin foam models for quantum gravity.
— Maybe finally only the assumption of a higher dimensional space-time reality is need?

The visualization suggests a unified world view by means of a five-dimensional geometry that renders Kaluza-Klein’s theories—as confirmed by Louis de Broglie in 1927—visually accessible. Moreover, this unification between the GRT-cosmology and QM derived from the 3D representation of the Penrose Kites and darts tiling provides fundamental structures used in quantum information, as well as in Kepler’s planetary motions as comprised in the Poincaré homology sphere as a model for the universe.
https://www.mdpi.com/journal/entropy/announcements

Investigating the dark grounds of science by means of Chalcolithic artifacts demands an interdisciplinary approach which examines the use of mathematical methods for the construction of geometrical symbols in order to excavate the origin of their symbolic meaning:
the explicit notches on a so-called ritual bread (Vrbjanska Čuka, ca. 5500 BC) can be identified as construction of both, the acute and obtuse golden triangles. These geometrical elements found in spiritual and erotic contexts often interpreted as symbols of trascendence will be examined in reference to Euclidean and hyper-Euclidean geometry. The further evolution of geometrical thinking can be recognized on highly elaborated geometrical decorations on the bottoms of Chalcolithic figurines from the Šuplevec-Bakarno Gumno culture (5th millennium BC). They reveal together with underwear designs in the shape of equilateral triangles preliminary studies
for Euclidean Geometry and simple construction methods of the golden mean.
Furthermore the fundamental role of female artistic research in the development of an epistemic language on the ‘dark grounds‘ of mathematics and science as well as possible metaphysical
concepts shall be examined. This assumption may initiate a re-evaluation of Chalcolithic artistic research and its relevance for the development of science and art in antiquity and open speculations supported by the current attempts for the reconstruction of a female ontology in philosophy.

Keywords: Chalcolithic figurines, cult bread, golden section, vesica pisces, pygēometry, Pelagonia

There is an ongoing controversy about whether quantum states should be regarded as representing anything in physical reality. Here a truly Platonic approach shall oppose Copenhagen like interpretations which deny the need for any deeper description of reality beyond quantum theory. The presented proposal for an ontological model ties quantum mechanics to causal structures of higher dimensional space itself: It is the dynamic geometry of 5-dimensional space which works like a machine and seems to contain observables as described in some well-known contextuality proofs. Recently descriptions of noncontextual hidden variable (NCHV) theories were identified in visualizations of those evolving higher dimensional structures. The research asks for an epistemic access on the foundations of matter. Besides an overview of the assumed fundamental 5D model some geometrical structures matching the pentagram operators as proposed by Klyachko, Cabello and Bengtsson shall be presented together examples of contextuality proofs like Mermin’s (magic) pentagram and the GHZ state visualized as 3D representations. Furthermore another 18 point KS proof related to a 24-dimensional configuration shall be put up for discussion.

In Plato’s original text about the regular polyhedra, shapes of the four
elements, fire, water, earth and air, the dodecahedron, as fifth element, — usually denoted as symbol for the world itself — the dodecahedron itself is not mentioned. The cover images of this issue provide an answer to this eminent almost two and a half millennia old riddle: Two simplices, the 3D representation of the Penrose Kites & darts tiling, (epitahedra E+), the unit cells of 5-dimensional space are forming the dodecahedron in a Boolean intersection.
Thus the 5th element synonymous the "quintessence" and the "aether" regains shape.

The discovery of the 3D representation of the Penrose Kites & Darts tiling , named epitahedron {E±) which turned out to be Plato's "5th element" followed intuitively from the question: "If the Penrose Pattern is a 2D slice of 5-dimensional space, what would it's 3-dimensional space cell look like?" Origami seemed the best way to explore this question. So I started with enfolding the kites and darts to obtuse and acute triangles from the Robinson decomposition in order to find two irregular heptahedra. Further research lead to hermeneutic interpretations of the Isis & Osiris myth as story which conveyed a detailed origami instruction for the unit cells of 5-dimensional space: therein the pentagonal grid and its 3-dimensional shape is symbolized by two brother gods Osiris and Seth & the sister goddess Isis. Was paper enfolding already a game in ancient Egypt that still survived until millenia later in Japan ?-Here the"Origami"technique and the "Katachi" concept shall be highlighted in regard to higher dimensional models of the word.

The authors describe the scientific background and technical details of the visualization of the mathematics underlying genetic codes applied to musical scales. “Genetic Music” provides audible access to genetic structures that become visible based on the fundamental level of nature as permutations of space itself. The carriers of genetic information characteristically possess hydrogen bonds in quantities 2 and 3 in complementary pairs of nitrogenous bases [GACT] in DNA and [GACU] in RNA. Since hydrogen is observed to expose the symmetries of the Penrose Patterns, visual access is achieved by means of a 3D representation of Penrose kites and darts named “epitahedron.” Those pyramid-shaped polyhedra represent the numbers of hydrogen bonds (C=G=3, A=T=2) that generate musical equivalence between the genetic alphabet and the 7 notes of the Pythagorean scale, as well as further and distinct correlations with “Fibonacci stage” “Genetic Music” scales. The visualization must be played sync...

Insights into the foundations of quantum theory, including the wave-particle duality of light as developed in the last century, raise several questions. How can we imagine light both as wave and particle? What is a particle? How can we make comprehensible the phenomenon of light as elec-tromagnetic distortion, incorporating the ideas of Maxwell, Faraday and especially Theodor Kaluza, who placed light in 5-dimensional space? We investigate a 3D digital dynamic geometrical model applied to theories of light in order to provide a visual access for a better mathematical understanding. Hence to achieve this convergence of theories, we examine experimental facts of the famous entangled photon picture and theories of lines of force with AR methods to bring together the notion of "light quanta" and their connection to a discrete space structure in 5D. Examples of 3D animation are here depicted as still frames.

<p><span>The Gaia hypothesis as an ecological hypothesis is proposing that the biosphere and the physical components of the Earth (atmosphere, cryosphere, hydrosphere and lithosphere) are closely integrated to form a complex interacting system that maintains the climatic and biogeochemical conditions on Earth in a preferred homeostasis. Although successful within the current scientific paradigm the explanation of „planetary sentience, or sensitivity“ becomes extremely difficult. As Hegel said, pure truth about nature is only perceivable by a poetic method.</span></p><p><span>Therefor we are proclaiming Gaia, the Earth as a female artist -- as advocated by 16th century scholar Giordano Bruno. This would imply to include such nonscientific categories as beauty, creativity and cosmic consciousness. Hence a unified Gaia theory would require a new scientific paradigm.</span></p><p><span>Based on a previously proposed higher dimensional spacial model  (Gaia 5.0) as „pattern that connects“ that explains the Earth’ intrinsic dynamics we aim to extend<span>  </span>our concept to the question of cognition and planetary sentience, or sensitivity. </span></p><p><span>Hence we claim that  Gaia theory needs an extension of categories in order to understand the full scope of this spectacular place of livelihood and beauty. </span></p><p><span>Therefor we examine he prevalent relational biology that tries to overcome Newtonian point mechanics by relying on Aristotle’s „formal causes“ of the autopoietic organization and (M,R)-system as conceptualized by R. Rosen who refers to a mathematical structure, e.g. mapping of functions. Distinct to differential geometry we suggest as previously introduced higher dimensional geometrical framework (Gaia 5.0) a hyper-Euclidean geometry that allows to understand complex systems based on group theory providing all kinds of symmetries in nature based on a spacial continuum. </span></p><p><span>As a consequence we must not rely on thermodynamic premisses and life and tornados don’t belong to the same class of naturally complex systems. Instead we refer to Schrödinger’s description of a living cell as 4-dimensional entity. Based on complex number spaces we may seek<span>  </span>for further distinctions of processes and define ordered structures based on number theory.</span></p><p><span>Based on this we try to understand anticipatory systems by assigning Bayesian networks to (hyper-) complex number spaces. -- Hence Gaia is not playing dice but takes a <em>random walk in Monte Carlo</em>.</span></p>

Abstract. The artwork presented here is motivated by the wish to communicate an assumed underlying higher-dimensional space grid for the Universe. It was presented in the digital 3D animated opera named GAIA 5.0. – A Holographic Image Ambience, a big data visualisation project that proposes a 5-dimensional (suffix 5.0) geometric visualization of the Earth from the Gaia hypothesis standpoint: the Earth as a living, thus complex system. This quasi-crystallography visualisation, situates the Earth in the center of a dynamic 5-dimensional subscendent space configuration and draws parallels between 19th ether concept (cf. Lord Kelvin, V. Bjerknes a.o.) and the newly discovered 3D representation of the Penrose Kites & Darts tiling (Epitahedra, E±) which allows us to rebuild the presocratian living pattern of the world as 5-dimensional space conforming the Poincare's dodecahedral space. – This allows us to regard the Earth not as big data generator but its underlying space which genera...

Keywords Isis and Osiris myth art and science geometry ancient Egyptian knowledge higher-dimensional space concepts ontology quantum information renate Quehenberger Independent researcher Quantum information traced back to ancient egyptian mysteries abstract There are strong indications that ancient Egyptian mythology contains knowledge about the nature of space up to higher dimensions and provides ontologic answers for the question about the creation of matter. This article examines the pentagonal interpretation of the myth of Isis and Osiris by comparing the iconographic details with recent findings from the art research project Quantum Cinema, where an interdis-ciplinary group of digital artists and scientists established a virtual space model for visualizing the usually non-perceivable processes in the microcosm on a Planck scale. At this scale, quantum mechanics applied to space itself leads to a discrete amount of quantum states. For this research, a new geometrical tool proved invaluable: the epitahedron. The double heptahedron named epitahedron (E±), a 3D Penrose kites and darts representation, confines the dodecahedron in many ways and seems to be Plato's fifth element. It is a 5D space cell, decorated with fragments of circles, which allows to visualize the permutations of symmetry elements within a discrete lattice (Z5). This higher-dimensional configuration is also the appropriate space to create a quantum-mechanical depiction of particles with inherent wave-like character by means of 3D animated geometry. Disguised in a mythological language the same subscendent space structure with the same golden polytope (E±) can be revealed: is this the origin of the concept of ether, the quintessence model which was a basic scientific task for the last 2500 years?

GAIA 5.0. presents the Earth as a complex living system in a poetic form narrated by no-wave icon Lydia Lunch. GAIA refers to ancient mythology as well as to Lovelock & Margulis' Gaia theory while the suffix 5.0 is referring to the 5-dimensional geometry framework presented as 3D animated film. The holographic representation is embedding the Earth into a 5-dimensional dodecahedral space conforming to the hyper-Euclidean visualisation of the Poincaré homology sphere by 36°, or π/5 radians counter-rotations of the upper and the lower compounds of 5D unit cells, named epitahedra (E±). This 4-dimensional dynamic dodecahedron proposed as model for the Universe by Henri Poincaré was recently identified as Plato's riddle about the fifth element a.k.a. quintessence. Here we use the 4-dimensional dodecahedron (epita-dodecahedron) as model for the Earth' complex dynamic system usually applied to symmetry operation in particle physics and cosmology for mathematical descriptions in ...

The discovery of the 3D representation of the Penrose Kites & Darts tiling ,
named epitahedron {E±) which turned out to be Plato’s „5th element“ followed intuitively from the question: “If the Penrose Pattern is a 2D slice of 5-dimensional space, what would it’s 3-dimensional space cell look like?” Origami seemed the best way to explore this question. Enfolding the kites and darts to obtuse and acute triangles from the Robinson decomposition lead  to the finding of two irregular heptahedra. Further research lead to hermeneutic interpretations of the Isis & Osiris myth as story which conveyed a detailed origami instruction for the unit cells of 5-dimensional space: therein the pentagonal grid and its 3-dimensional shape is symbolized by two brother gods Osiris and Seth & the sister goddess Isis. Was paper enfolding already a game in ancient Egypt that still survived until millenia later in Japan ?— Here the“Origami“technique and the "Katachi" concept shall be highlighted in regard to higher dimensional models of the word.

For ancient pre-Socratic societies the living pattern of the Universe was— according to Plato—also the blueprint for the organizational structures within a society. Divine order and equilibrium were the universal principles and the theoretical construct governing nature around us and the entire cosmos.
The old Theory of Everything (ToE) as it was mathematically conceptualized by Pythagoras and visualized by Plato—in the 5 synonymous regular forms—epitomized the principle of harmony. With the recent rediscovery of Plato’s 5th element we are able to under-stand that it was a higher dimensional world view based upon a geometrical living pattern of the world.
This metaphysical superstructure was allegedly strongly linked to high ethical standards Plato discussed an ideal society in his “Republic.” Meanwhile, according to theoretical physics, the Universe is expanding at an accelerating pace and governed by ‘dark energy’ and ‘dark matter’ where ‘black holes’ are gaining more and more significance. How does the loss of ancient superstructures and new concepts of theoretical physics affect our society, and which rites and habits are left from antiquity?