Elie Cartan and pan-geometry of multispatial hyperspace

摘要: Abstract Elie Cartan has proved that highest dimensionality of any simple geometric space is three and an exterior differentiation a 3D+ object gives bivector, which may correspond to some two 2D surfaces as if the comprised 3D objects. Since one cannot increase even though more than four independently varying physical magnitudes do exist, then expansion requires multispatial hyperspace contains many spaces. Presence such prompts for entirely new concept vectors with isometric operation vector multiplication traditional (3-tuples). This on 3-vectors implies presence mass-based linear consequently thus 9D classical mechanics alone. Also outline new, synthetic approach physics mathematics introduced. can be used design computer-aided knowledge extracting system, could generate scientific knowledge.