Hi Hans...
There are an infinite number of Orthomodular lattice, any of which can be a Mathematical "foundation"... i.e. coordinate system... on which to derive concepts of Spatial geometry, and any geometry structural "foundation"... i.e. coordinate system... has elements that are more "fundamental"... e.q. origin, axis, dimension, base unit of quantization, singularity etc.... origin being the most "fundamental".
In that the base unit of the lattice quantization will dictate the form of possible Origin Singularities... i.e. the singular point of Origin enclosure geometry... the base unit of the lattice quantization is a more "fundamental" element of the mathematical "foundation"... i.e. coordinate system... than is the Singularity.
In a "fundamental" discussion, a distinction must be made between Cubic Singularity Lattice resolve and Spherical Singularity Lattice resolve... i.e. a lattice which resolves a Spherical Singularity is necessary to resolve the "fundamental" logic reduction of an equal distribution in all directions from a single point.
Utilizing the Wikipedia Ortho Lattice M4 Geometry as the base unit Volume of the "foundation" field quantization... i.e. coordinate system... 6 mutually perpendicular M4 base unit volumes can resolve a Spherical Singularity, ONLY if the relationship of the the M4 base volume unit height = the volume unit width... i.e. any vertices has identical distribution geometry.
In that Energy is the "fundamental", being distributed onto a Spatial lattice by an Origin Source pulsed emission, and Energy can not be defined as a dimensionless point location, a minimum unit of Energy (QE) must have a Spatial containment/address within the "foundation" field quantization.
To facilitate EQUAL distribution in all addressable Spatial directions from a single point, that Spatial containment/address must be a UNIFIED minimum unit of Space (QI).
The UQS field quantization utilizes an M4 Ortho Lattice, in which the relationship of the base volume M4 unit height = the volume unit width... REF: UQS Base Unit Derivation... which resolves 24 UNIFIED minimum units of Spatial (QI) for Origin Source pulsed Energy distribution, of 24 UNIFIED minimum units of Energy (QE), equal in all lattice addressable directions from point of Origin, onto the Lattice... i.e. information structure... in a manner similar to the boot process of a conventional computer. REF: Comparative Singularity Geometry http://www.uqsmatrixmechanix.com/UQST-TVNH.php
Given h=1, the UQS Origin (0,0,0) expands as 6 equal Emission Axis Sectors which yield 8 Distribution nodes as 3 (x,y,z) coordinates: (-.5,+.5,-.5);(+.5,+.5,-.5);(+.5,+.5,+.5);(-.5,+.5,+.5);(-.5,-.5,-.5);(+.5,-.5,-.5);(+.5,-.5,+.5);(-.5,-.5,+.5), and by Pulse 8 the QE emission distribution resolve log can accumulate resolve intelligence, required to mirror close to the 6 Singularity Shell Emission Nodes (-1,0,0);(0,0,-1);(+1,0,0);(0,0,+1);(0,-1,0);(0,+1,0).
Subsequently, the UQS coordinate system supports infinite radius expansion of Spherical Shell Closure, in increments of 1 UQS Base Unit Volume height.
The UQS minimum Spatial unit is a 2D Plane of UNIFIED geometry, defined as 3 (x,y,z) coordinates... e.g. given h=1 the UQS Singularity -Xsector/+Yanchor is a 2D Plane bounded by (-.5,+.5,-.5); (0,0,0); (-.5,+.5,+.5). REF: UQS Information System
Hans, if you are working with an Orthomodular Lattice and have resolved a Spherical Singularity, it is highly probable we are working with the same "foundation" field quantization... i.e. coordinate system... and in that I am not a physicists, I would like to verify compatibility of your Physics unification concepts with the UQS geometry model.
I think you will agree that utilization of the Wikipedia image of the M4 Ortho Lattice unit, greatly enhanced my ability to communicate critical elements in this discussion, but if you do not have a visual graphic of your Singularity geometry, I can convert numeric (x,y,z) coordinates to a 3D CAD image, if you provide the Singularity numeric coordinates in relationship to the Origin (0,0,0).
The UQS CAD Spatial quantization environment satisfies model simplicity criteria... i.e. 4 screens of code can node data populate the "foundation" field quantization from Origin to any radius specified by the Quantum Virtual Lab/Game technician.
The next challenge is to verify that the "foundation" field quantization... i.e. coordinate system... supports a Pulsed Emission in which each pulse resolves distribution intelligence/logic required for resolve of QE distribution, in the entire field, on each subsequent pulse.
Having SIMulated QE Emission within a UQS CAD quantized environment, out to 5 UQS Base Unit Radius Shells, I have found it necessary to develop a computer program to manage the emerging intelligence for subsequent pulsed QE distribution resolve, and am working diligently on it. REF: UQS Virtual Quantum Lab/Game http://www.uqsmatrixmechanix.com/UQSDB.php
Thanks Hans for your consideration of our model similarities.
S. Lingo
UQS Author/Logician
www.uqsmatrixmechanix.com