Quaternionic Geometry unlocks multi-dimensional rotation fields and non-commutative flows essential to modular cryptography and topological encryption. Its dynamics curve across 4D space, enabling field-locked recursion and harmonic torsion.
Foundational to the Spinor Private Tensor Field and Quaternionic Encryption Systems, these forms encode recursive eigenstates and resonance spirals. You will find them anchoring and stabilizing modular prime flows with Mobius-curved quaternionic basins.
This tag anchors concepts where quaternionic logic, spinor algebra, and geometric recursion converge in encryption, resonance, and symbolic structure.
Quaternions extend complex numbers into four dimensions: q = a + bi + cj + dk. They encode smooth, singularity-free 3D rotations using unit quaternions.
- i² = j² = k² = ijk = –1
- ij = k but ji = –k
- Non-commutative multiplication
- Rotation represented as q · v · q⁻¹
Below are dynamic visualizations of quaternion structure.
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