- Complex Plane
- Enables multiplication in 2D space
- Widely used in quantum mechanics
- Grassmann Numbers
- Uses Grassmann multiplication (^) as operation method
- Results in parallelogram area values (geometric algebra)
- Clifford Multiplication
- Follows the rule: a*b + b*a = h (Planck constant)
- Important in quantum field theory for large physical quantities like electron velocity
- Related to Heisenberg's commutation relation: pq - qp = h
- Riemannian Geometry
- Differs from Euclidean geometry with its microscopic curvature
- Enables wave-like transmission due to this curvature
- Alexander Grothendieck proved that geometric models spec(R) can be constructed for any Number System (R)
Number Systems