The Space: A Skeleton of the Vacuum

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Authors: A. M. Thorn
Cited by: 0

Abstract

Space is not postulated.It is derived. Root: \[\omega_5 = e^{2\pi i/5}.\] Golden ratio: \[\varphi = \frac{1+\sqrt5}{2}.\] Temporal fraction (from \textit{The Time}): \[\tau = \varphi^{-1}.\] Golden chord: \[s = 2\sin\!\left(\frac{\pi}{5}\right) = \sqrt{3-\varphi}.\] Link between time and space: \[s^2 = 1 + \tau^2.\] Pentagon: \[\text{side} = s,\qquad\text{diagonal} = \varphi s.\] Icosahedron vertices: \[(0,\pm1,\pm\varphi),\quad(\pm1,\pm\varphi,0),\quad(\pm\varphi,0,\pm1).\] Topology: \[V - E + F = 12 - 30 + 20 = 2.\] Three mutually orthogonal golden planes: \[x=0,\quad y=0,\quad z=0.\] Bandwidth: \[V - \chi = 12 - 2 = 10.\] Space is the projection of golden arithmetic onto three orthogonal planes. One root.One ratio.One body. Simplizis.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 January 2026