DanWinter-FractalPhysics-BlissScience-Sacred Geometry&Physics Consciousness. NassimHaramein-ResonanceProject. World Climate. Reality-Quantum-Digital-(CU-Seth) Holographic principle. In a larger sense, the theory suggests that the entire universe can be seen as a two-dimensional information structure "painted" on the cosmological horizon[clarification needed], such that the three dimensions we observe are an effective description only at macroscopic scales and at low energies.
Cosmological holography has not been made mathematically precise, partly because the particle horizon has a finite area and grows with time. The holographic principle was inspired by black hole thermodynamics, which conjectures that the maximal entropy in any region scales with the radius squared, and not cubed as might be expected. In the case of a black hole, the insight was that the informational content of all the objects that have fallen into the hole might be entirely contained in surface fluctuations of the event horizon. Black hole entropy An object with entropy is microscopically random, like a hot gas. Black hole information paradox Limit on information density Fractals - Chaos & Fractals.
Simply put, a fractal is a geometric object that is similar to itself on all scales.
If you zoom in on a fractal object it will look similar or exactly like the original shape. This property is called self-similarity. An example of a self-similar object is the Sierpenski triangle show below. As one looks closer we observe that the large triangle is composed of three smaller triangles half the size (side length) of the original, which in turn are composed of three smaller triangles, and so on, and so on.
On all scales the Sierpenski triangle is an exactly self-similar object. The property of self-similarity or scaling is closely related to the notion of dimension. A one dimensional line segment has a scaling property similar to that of fractals. The concept of self-similarity naturally leads to the generalization to fractional dimension. R = 1 / N(1/D) D = log (N) / log (1/r) To complete the shape, the above procedure is repeated indefinitely on each line segment on the side of a triangle.
Imagining the Tenth Dimension - A Book by Rob Bryanton. Michio Kaku - Explorations in Science. Kaluza–Klein theory. This article is about gravitation and electromagnetism.
For the mathematical generalization of K theory, see KK-theory. In 1926, Oskar Klein gave Kaluza's classical 5-dimensional theory a quantum interpretation, to accord with the then-recent discoveries of Heisenberg and Schroedinger. Klein introduced the hypothesis that the fifth dimension was curled up and microscopic, to explain the cylinder condition. Klein also calculated a scale for the fifth dimension based on the quantum of charge. It wasn't until the 1940s that the classical theory was completed, and the full field equations including the scalar field were obtained by three independent research groups: Thiry, working in France on his dissertation under Lichnerowicz; Jordan, Ludwig, and Müller in Germany, with critical input from Pauli and Fierz; and Scherrer  working alone in Switzerland.
The Kaluza Hypothesis , where roman indices span 5 dimensions. . Where the index where or.