tag > RTM
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Islamic mathematicians & artists discovered the "Penrose tilings" of Quasicrystals hundreds of years before western scientists.
Image 1: Girih-tile subdivision found in the decagonal girih pattern on a spandrel from the Darb-i Imam shrine, Isfahan, Iran (1453 C.E.). A subdivision rule to construct perfect quasi-crystalline tilings has been identified.
Image 2: Quasicrystal type patterns above an arch in the Abbasid al-Mustansiriyya Madrasa in Baghdad, Iraq, 1227
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Earth has 4 days simultaneously each rotation. You erroneously measure time from 1 corner.
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Octonions - eight-dimensional hypercomplex numbers used in theoretical physics with a number of counterintuitive properties.
Octonions can be understood as self-referential biquaternions that naturally model phenomena like vision - imagine a sphere (like an eye) that maintains its geometric properties while having both transparent and opaque regions. Just as your eye uses its lens to transform 3D space onto a 2D retinal surface and then encodes this into 1D neural signals, octonions provide a mathematical framework for this kind of dimensional reduction through self-reference. The self-dual property of octonions (being their own mirror image mathematically) enables them to simultaneously represent both the spatial domain (like the physical structure of the eye) and the frequency domain (like the neural encoding of visual information), making them uniquely suited for modeling systems that need to transform between different dimensional representations while preserving essential geometric properties.
The Peculiar Math That Could Underlie the Laws of Nature
New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.”
The Octonion Math That Could Underpin Physics
“The real numbers are the dependable breadwinner of the family, the complete ordered field we all rely on. The complex numbers are a slightly flashier but still respectable younger brother: not ordered, but algebraically complete. The quaternions, being noncommutative, are the eccentric cousin who is shunned at important family gatherings. But the octonions are the crazy old uncle nobody lets out of the attic: they are nonassociative.” – John Baez
Fun Fact: Octonions are the last number system in the Cayley-Dickson construction that still forms a division algebra (meaning you can divide by non-zero elements). If you go beyond octonions (to sedenions), you lose even more properties!
Hypercomplex Math and the Standard Model
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What is the nature of change (e.g., learning) in the Eternalist perspective of reality? As you contemplate, enjoy this timeless recording of Enrico Caruso from 1917:
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Lin Kong Jing - Empty Force
Lin Kong Jing is an advanced spiritual and martial practice that explores consciousness manipulation and the underlying nature of reality. Rooted in traditional Chinese energetic arts, this method allows practitioners to perceive and interact with the fundamental illusion (maya) of existence. Through refined qi cultivation, adepts learn to project internal energy beyond physical boundaries, potentially influencing reality through pure intention and heightened energetic awareness (Yi).
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Maya within Maya. An ILLUSION WITHIN the ILLUSION. Fractal illusion. Fractal illuminat.
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Debugging reality isn’t easy for beginners. That’s why we built an in-depth course covering the essentials: from spotting & terminating idle thoughtforms in your holographic reality tunnel to manifesting astral entities in 3D space. Ready to level in? Enroll now!
Your brain has too many tabs open. Close them. Open reality's built-in debug console, access the resource manager, identify idle thoughts living rent-free, and terminate them.
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Evidence of ‘Negative Time’ Found in Quantum Physics Experiment - Physicists showed that photons can seem to exit a material before entering it, revealing observational evidence of negative time. Paper.
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A homeomorphism, also called a continuous transformation, is an equivalence relation and one-to-one correspondence between points in two geometric figures or topological spaces that is continuous in both directions. Many forms observed in nature can be related to geometry. In accordance with classical geometry, the shapes that found in nature are consisting of lines and planes, circles and spheres, triangles and cones. These shapes actually are a powerful abstraction of reality, so we need primitive objects to give a form and understand the complex structure that exists in nature.
Art by Anatoly Fomenko (1945-) a professor of Math and Topology at Moscow State University
Fractal homeomorphisms
