SOiGUINE's supercomputing main project 'Geometric Algebra Supercomputing Initiative', GASCI, pursues 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.


Basic considerations of the GASCI breakthrough paradigm of generalizing of the conventional qubits are available: gQubits and beyond