A proposed Cosmological 4D-model


Interactive Art Application of a Proposed Fourth Spatial Dimension Cosmological Model: Investigating the Connection of the String Theory with Johan Van Manen's 'Hypersphere'

Traperas, Dimitrios and Kanellopoulos, Nikolaos (2018), ‘An Interactive Art Application of a Proposed Fourth Spatial Dimension Cosmological Model’, International Conference on Digital Culture & AudioVisual Challenges, Ionian University, Corfu, 1-2 June

Our inspiration of our proposed cosmological model is based on Johan Van Manen’s schema and the description of a ‘double’-‘closed’ Universe of String Theory. Quantum Geometry of String Theory claims that the physical properties of the elemental components of our ‘closed’ Universe are the same for a Universe whose circular dimension has a radius R with a Universe having a radius 1/R (where the value 1 means 1 time the Planck’s Length that is 1.616*10-33 cm). According to this theory we live in a ‘double’-‘closed’ Universe where when the one is expanding, the other is shrinking.
In particular, the resulting ‘double’ Universe is similar with Johan Van Manen’s schema consists of two hyperspheres: the ‘outer’ hypersphere that represents the ‘large’ Universe and the small ‘full’ hypersphere represents the parallel ‘small’ Universe.
Between them exists an ‘empty’ hypersphere as a 4D hole. At the beginning of time the radii of the ‘small’ and the ‘outer’ hypersphere were equal to Planck’s Length (R= (1/R) =1) and the ‘empty’ hypersphere was nullified. The ‘Big Bang’ happened as an expansion of a 4D hole that drifted the two hyperspheres: the radius (1/R) of the small ‘full’ hypersphere began to decrease while the radius (R) of the ‘outer’ hyperspher began to increase forming our ‘sensate’ Universe. This expansion led the ‘outer’ hypersphere radius to reach (almost) an infinite value, the small ‘full’ hypersphere to (almost) disappear, while the ‘empty’ hypersphere got an (almost) infinite radius and occupied the inner space of the ‘outer’ hypersphere. The final result is a 3D hypersurface of a hypersphere with an (almost) zero curvature that is constantly expanding and represents the ‘closed’ 3D Universe we perceive.

Green, B. (2003). The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory W. W. Norton & Co Inc, p. 239.
Traperas, D. and Kanellopoulos, N. (2018). The Aesthetic Approach of Hyperspace. Technoetic Arts: A Journal of Speculative Research. 16, No.3, 363–375.
Van Manen, J. and Webster Leadbeater, C.W., ed. (1913). Some Occult Experiences, Theosophical Publishing House, Adyar, Madras, India, p. 58–60.