SOiGUINE's Quantum Computing project 'Geometric Algebra Quantum Computing Initiative', GAQCI, [gay que sigh], is pursuing the idea that really valuable and productive mathematical model particularly applicable to quantum processes can only appear when formalized in consistent, adequate terms.

One example why we have to proceed: Inability to realize that 'complex' numbers should be real geometrical objects of the three-dimensional world resulted in more than a century bewitchments about non-observable observables in quantum mechanics.

Another example: Wave-particle mysterious dualism follows mainly from the lack of clear distinguishing between operators and operands.


Some initial considerations of the GAQCI breakthrough paradigm of formalizing of the qubits, critical for topological quantum computing, are available: Qubits