Why can't humans understand the FOURTH DIMENSION? CL(4) space
Why don't humans understand the FOURTH DIMENSION? In this video, we'll look at some specific aspects of 2D, 3D, and 4D space. Humans, as three-dimensional sentient beings, have difficulty understanding fourth-dimensional objects. There are several ways to imagine them: one is to immerse four-dimensional objects in our space and see how they transform; the other is through analogies. As we'll see, starting from the four-dimensional space R4, we can construct Clifford algebra Cl4, which will reveal other hidden things. #clifford #mathematics #geometry #algebra #yousciences #doctorgiux #science
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💎 OTHER VIDEOS IN THE SERIES 💎:
Wedge Product: • Introduzione all'ALGEBRA ESTERNA di Grassm...
Geometry Product: • Il Potere del PRODOTTO GEOMETRICO
2D Geometric Algebra: • In Profondità nell'ALGEBRA GEOMETRICA 2D: ...
3D Clifford Algebra: • L'Algebra di CLIFFORD (3D) Tridimensionale...
Quaternions: • Esplorando le Meraviglie dei QUATERNIONI c...
Projections, Rejections, and Reflections: • Trucchi dell'ALGEBRA Geometrica: PROIEZION...
Rotations: • Il Mondo delle ROTAZIONI
Maxwell: • Una sola EQUAZIONE per dominarle tutte!
Spinori: • Il Bizzarro mondo degli SPINORI "Le Radici...
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📚 REFERENCES
➤ Pertti Lounesto, Clifford Algebras and Spinors, Cambridge 2001
➤ Geometric Algebra for Physicists, Doran, Lasenby, 2003
➤ Clifford Algebra to Geometric Calculus, Sobczyk, Hestenes, 1984
➤ The Theory of Spinors, Cartan, 1966
➤ The Road to Reality, Penrose, Knopf Doubleday Publishing, 2007
➤ Electromagnetic Fields with Geometric Algebra, Monti, Mongiardo, Rozzi, Venanzoni, LibreriaUniversitaria 2021
➤ https://www.math.umd.edu/~immortal/MA...
➤ https://www.reed.edu/physics/faculty/...
➤ http://www.faculty.luther.edu/~macdon...
➤ https://geometrica.vialattea.net/ (A beautiful introduction by Paolo Sirtoli)
➤ Wikipedia
Chapter summary
00:00 Overture
00:43 Polygons
03:00 Polyhedra
07:00 Balls
08:56 Cl4 Space
14:18 Involutions
Executive Production - by GIUX