10.07 Tetrahedron Planck length minimum volume Quantum mechanics is our Classical universe

Published: 01 January 2024
on channel: Steven Elias

10,626

Steven explored using the basic geometric shapes of the triangle and square to create a stable 3 dimensional structure with an inside and outside. He noticed that the square wobbled but the triangle held its shape. Steven realized that by adding a stick as a diagonal across the square the two resulting triangles were stable in two dimensions and had a hinge in three dimensions. He then added another stick to join the top points of the two hinged triangles creating a four triangle tetrahedron - the simplest 3-Dimensional structure. Steven observed that with these few elements he had divided space into an inside and an outside. Triangles are both the simplest shape in geometry and the only shape that is inherently structural. When you apply force to a triangle, it's evenly distributed among all three edges and all three vertices, which results in holding their shape even when force is applied. We can use this structural property of two-dimensional triangles to create the simplest three-dimensional structure in Universe - the Tetrahedron. Steven read in Synergetics, a geometry book by Buckminster Fuller, about the smallest volume Tetrahedron. Steven then understood that, in the geometry of tetrahedron, the force vector that is the distance from one vertex to any other vertex, could be the smallest length in universe, the Planck length. Therefore the smallest volume in Universe could be a tetrahedron with edge vectors equal to the Planck Length! With the tetrahedron as the simplest structure in universe with an inside and an outside, Steven realized that with the Planck Length as the vector length this structure may have unique properties. As his understanding deepened, Steven contemplated the significance of this simple structure defining a dimensional boundary condition between the quantum and classical models of universe. The tetrahedron with vector of Planck Length exemplifies Decoherence: in which a system's behavior changes from quantum mechanics to classical mechanics Steven pondered the implications of this decoherent node in a universe that both allowed volume, length, distance, space and time and was simultaneously beyond volume and length with no distance, no space, no time….. Perhaps properties of this minimum volume tetrahedron at the boundary of the quantum and classical models could be a key for deeper understanding of other decoherent puzzles such as quantum entanglement or the energy field that gave birth to our universe.

स्टीवनने त्रिकोण आणि चौरस या मौल्यांकनांचा वापर करून एक कसदार त्रिविमीय संरचना तयार केली. त्यांनी कदाचित सापडलेलंच तयार केलं असे तरुण चौरसाने हिलायला तर त्रिकोणाचे स्थिरत्व दाखवले. स्टीवनने पूर्व वेगाचं झुंज नेठवून चौरसाची उभव्या दोन त्रिकोणांमध्ये एक इच्छित स्थिरत्व दिसवली आणि त्यांनी त्यात घालणारी चार तक्क्यांमध्ये एक केली. स्टीवनने पर्यावरणाचं आदर्श उभविष्या आणि मागील त्रिकोणे ही सर्वसाधारणपणे सर्वसाधारणच आहेत असे म्हटलं. उच्चतर ओळी हे एक म्हेनातील स्फटिक परिणाम दर्शवतं. स्टीवनने सिनर्जेटिक्समध्ये प्रमुख पुरस्कार विजेता बक्मिनस्टर फुलर यांच्या ज्यामिती विषयक पुस्तकातून त्रिविमीय संरचनाजवळील सर्वात लहान क्षेत्र तेतरहेद्रन्चं समजावं लागलं. त्याने खाल्चा संरचन त्याच्या ज्यामितीसाठी अनोळख्य सुविधा असू शकतं असे म्हटलं.

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