Hi well , like I said your essay is a good essay with a good ranking of all the different thinkers and a mix of their ideas about the computabilities, the randomness, the mathematics, we see a very good knowledge of all their works, Solomonoff, Kolmogorov, Chaitin, Svozil ,Downey, Hirschfeldt, Born, Bell, Godel, Hilbert,Durr, Goldstein, Zanghi, Hooft,and others that I forget to name.
So indeed you have well learnt their works and you play with all this, but I see in all humility maybe a big problem , you consider these strings and correlted bits and a kind of wave pilot, so it is correlated with these 1D main strings at this planck scale and the 1D main field form this cosmology if I can say, you search the good road to correlate the universe, the quantum mechanics and the quantum computing in trying to consider the good randomness, series finite and infinites in a kind of universal converging partition, but for me if the main essence is made of particles instead of fields like in the strings, branes, Mtheory , so you are not going to converge with this universal foundamental mechanics if I can say.
We cannot affirm that all is made of fields and philosophically the same, the strings consider a 1D main field at this planck scale and extradimensions but we cannot affirm that it is the truth to explain our geometries, topologies, matters and properties.
My model considers 3D spheres coded but I am not here to speak about this, we are not here to prove philosophically who is right about these foundamental mathematical and physical objects and the correlated philosophy of this universe, we cannot affirm simply. Like I told your essay shows that you have well studied all these works and that you perceive the generality, it is important. But if I can , if your strings generally are not correct , so never you shall explain the quantum computing , I recognise good mathematical Tools with these strings to rank the fields, but witten has created a prison and I beleive that many confound his field medal wich is a very good mathematical work with his theory of strings. I doubt that this universe is only made of photons and that they oscillate due to strings to imply the physicality. Witten and Einstein even if the GR and SR are correct have created a prison for the thinkers. So the landscape is complex and we cannot affirm the main cause and the philosophy.
You can utilise all what you want for a general universal landscape, if the foundamental objects and the philosophy general are not correct, so just a part is correct but not the generality. And the non commutativity is not the problem but the foundamental Tools , objects and the general philosophy yes. I consider like I told you these 3D spheres in a kind of superfluid gravitational aether, space. And 3 main primordial coded series, one for the space and two fuels, the photons and the cold dark matter and when they merge they create these topologies, geometries, matters and properties with fields.
he wave particles duality is respected also because all is in contact when we consider specific finite primordial coded series of 3D spheres. I formalise all this with these mathematical Tools, an intrinsic ricc flow, the Hamilton Ricci flow, an assymetri Ricci flow that I have invented to explain the unique things, the lie derivatives, the lie algebras, the lie groups, the topological and euclidian spaces, the Clifford algebras, the poincare conjecture, the deformations of spheres also. Who is right ? me or the strings theorists ? we don t know and nobody can affirm but when I see the nature, it seems evident that these spheres, spheroids, ellipsoids,....are the choice of this universe, why I don t know but this geometry is different, it is the perfect equilibrium of forces and has no angle and can create all geometries.
The big problem is philosophical in fact. It is not easy I know to change a road of thoughts for the thinkers but the doubt is the real torch of generalists, if they are persuaded about unknowns , so it is a problem of Vanity for me, in all case these strings and these 3D spheres can converge because they oscillate also and are in motions, and in contact due to this universal superfluidity of the space.
All this to tell you that for a quantum computer , we must absolutelly utilise the good foundamental objects , if not we cannot reach it, the aim is not to play with all the mathematical Tools invented by all our best thinkers in maths about this randomness, the infinities, the real infinity, the finite series, the Waves, fields... the aim is to find the good universal partition with the foundamental mathematical and physical objects and their universal philosophy.
Regards