AIRO NAHIRU
Independent research.
Research
Papers on the algebraic foundations of XOR-indexed computation.
XORCE Series
A complete treatment of XOR algebras with phase kernels.
| Paper | Title | Topic |
|---|---|---|
| AN-001 | XOR Algebras | Foundations |
| AN-002 | Gauge Equivalence | The group of coordinate changes |
| AN-003 | Holonomy Invariants | Curvature and associator |
| AN-004 | The Lift Law | Doubling the address space |
| AN-005 | Kernel Dynamics | Trajectories and fixed points |
| AN-006 | Projective Limits | Infinite-dimensional completion |
| AN-007 | Curvature and Cancellation | Geometry of zero-divisors |
| AN-008 | Associativity Obstructions | The cocycle condition |
| AN-009 | Gauge Orbits | Moduli space of XOR algebras |
| AN-010 | The Pauli Isomorphism | Quantum operators as XOR algebras |
| AN-011 | Clifford Realization | The classical zoo unified |
| AN-012 | Fast Multiplication | Algorithms and performance |
| AN-013 | Holonomy Verification | Certification and testing |