Indeed ,it is intersting for the categorifications of harmonic wave forms and so the informations.The spherical volumes are relevant for the steps and groups.
Algorythms can be applied respecting our mathematical laws peritting to sort,to superimpose or to synchronise.The spherical volumes are important it seems to me humbly.The internal state of these volumes can permit to see the good predictionswhen these volumes are respected with theirintrinsic laws ,deterministic if I can say with of cours the uncertainty principle.The functions appear.
You say Since the recording of knowledge requires a state change, there is no possible way for all to be known in advance without changing the state of the whole group and introducing uncertainty.Indeed ,it is logic in fact simply.And like we are not the creators of this universal 3D sphère and its quant and cosm sphères turning still and always towards this eternity ,so we must accept our human limits.That said we appraoch all days but we are still so far of all our universal laws and its détails.The universal mechanic, newtonian for me and gravitational ,is a so incredibla puzzle in its détails that we must accept humbly our human limits.That said our postulats and équations permit to write the universal partition of spherisation.Thanks for sharing Mr Sky.Could you predict if my theory of spherisation will be inserted in computing If my equaions are correct, it is relevant in all humility.Best Regards