Hi Steve...
I assume inquires regarding UQS are request for structural details of a unified spatial unit quantization of a sphere, and I reply, as I did to your previous queries regarding UQS, with a directive to a highly illustrated... i.e. no math required... Open Source Online Introduction to UQS.
REF: UQS Consciousness Investigation Geometry http://www.uqsmatrixmechanix.com/UQSConInv.php
Can I presume that you pursued that directive?
In any case, I thank you for herein providing an opportunity to convey the underlying logic precepts that mandate a "spherical" quantization geometry, in order to verify the referent quantization geometry... i.e. spatial structural intelligence... as utilized by Fundamental Quantum Operatives, and synch ones' perceptions of reality to it.
1. Emission, or collapse of minimum/indivisible spatially defined units of potential momentum... i.e. QE... from a single point, requires a symmetrical distribution structure/intelligence at the point of emission or collapse.
As a distribution structure/intelligence, for QE emission or QE collapse, the UQS "sphere", as quantized by minimum/indivisible unified planar 2D spatial units (QI), facilitates a non-perturbative distribution of QE, from or to a single point, equally in all 6, as a minimum requirement for 3D volumetric expansion, of the momentum axis directions.
REF: UQS Origin Singularity Emission (6 sec) https://www.youtube.com/watch?v=Sbzf6NlU8q4
2. As spatial units, spheres do not pack in a manner which facilitate unified unit spatial quantization.... i.e. are not conducive to Einstein's unified/uniform unit 3D field geometry.
Formally speaking, the UQS singularity as comprised of the 6 momentum axis sector UQS Base Volumes, encapsulating the single point of QE emission or QE collapse, is not a true "sphere"... i.e. it has facets... but faceted spheres, as a consequence of singularity quantization, facilitate infinite expansion of a unified unit quantization geometry, as faceted "spherical" shells, with radius increments of one unified UQS Base Unit Volume... i.e. the UQS quadhedron radius.
The geometry to facilitate emission of single point sourced spatially defined minimum/indivisible units of Energy (QE) equally in all 6 momentum axis directions, is required Fundamental Intelligence "... to account for the quantum nature of the emission of particles...", and as the significance of quantization geometry, as QE distribution intelligence, becomes more apparent, focus on spherical conceptualizations inherently emerges.
In that one's Space Time Energy mental model, is the software with which one's mind processes one's experience of reality, in one's pursuit of "just curious", may one's consciousness expand in its capacity to query Fundamental Consciousness, for the intelligence required to facilitate spontaneous, harmonious resolve of one's reality.
Sue Lingo
UQS Author/Logician
www.uqsmatrixmechanix.com