STRETCHING the IMAGINATION to HIDDEN DIMENSIONS
Though the number systems form the basis of almost all of mathematical thought, the fabric of the universe is intrinsically interwoven into its geometry. Examining its many dimensions challenges the best of inquisitive minds.
It must be noted that German mathematicians, Carl Friedrich Gauss (1777 – 1855) and Georg Bernhard Riemann (1826 – 1866), together, laid the mathematical groundwork for exploring dimensions of space beyond our 3-dimensional world. Their collection of results ultimately provided the mathematical framework for Einstein’s theory of general relativity (1915). Riemann had pioneered a coherent theory, now called Riemannian geometry, which extended into n dimensions the differential geometry of 2-dimensional surfaces embedded in 3-dimensional space proved by Gauss in his Theorema Egregium.
HYPERSPACES – exploring beyond the fourth dimension
“Extra dimensions of space—the idea that we are immersed in hyperspace—may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still--but ultimately hit a dead end. Modern research has advanced the subject in ways he couldn’t have imagined. John Hockenberry joins Brian Greene, Lawrence Krauss, and other leading thinkers on a visual tour through wondrous spatial realms that may lie beyond the ones we experience.”
Michio Kaku – Are There Extra Dimensions? (Closer to Truth)
FROM UNIVERSE to OMNIVERSE
“Modern theories tell us that there are ten spatial or “space-like” dimensions to our reality.”
11 Dimensions Explained - Higher Dimensions Explained – All Dimensions Explained - Dimensions (Engineering Made Easy)
STRING THEORY: the move back to to 1 dimension to explain some physical phenomena
“The 11th dimension is a characteristic of space-time that has been proposed as a possible answer to questions that arise in superstring theory. The theory of superstrings involves the existence of nine dimensions of space and one dimension of time (a total of 10 dimensions). According to this notion, we observe only three spatial dimensions and one time dimension because the other six spatial dimensions are "curled up" or "compactified."
According to superstring theory, all of the elementary particles in the universe are composed of vibrating, one-dimensional mathematical objects known as strings. The theory does not explicitly state what the strings are made of or where they come from; rather, they are proposed as geometric ideals. Each string has a length of only 10-35 meters, many times smaller than the diameter of the nucleus of an atom. Any given subatomic particle (or hadron) is made of a string that vibrates and rotates at the speed of light. A particular hadron gets its unique identity from the manner in which the string rotates and vibrates according to the dynamics of Einstein's theory of general relativity. The frequency of vibration corresponds to the mass of the particle.”
Out Universe Has 11 Dimensions, According to Quantum Physics – Billy Carson (Danny Jones Clips)
FRACTALS: the fracturing of the Euclidean dimensions
“Chaos, present in everything from a drop of water to the galaxies in our universe, has long fascinated people from cultures across the world. The natural disorder present in the branches of trees, lightning, and coastlines, to name a few examples, may seem to be completely chaotic; however, self-similarity within these phenomena is much more organized than it appears. Repeating patterns in many natural objects and processes are known as fractals, figures that show self-similarity at different levels. The study of fractals, both in nature and pure mathematics, has advanced numerous branches of science, such as computing, telecommunications, fluid dynamics, biology and medicine, and can offer innovative new perspectives on human science and technology.”
Fractals in Nature (published on January 5, 2021)
Last Updated by SAS October 07, 2026, 16:00:47
