Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.
Carrier, families and E8 closure
The published foundation in this area
32 authored claim references lead into the original ledger and paper sections. This source record remains available even where no separate reviewed research packet is attached.
The finite compiler combines a five-slot carrier, a selected half-spinor action, D5×A3 and Z4 glue into an E8 lattice closure. This establishes a mathematical construction within its stated choices, not the physical gauge group or a first-principles origin.
Starting structure in the Atlas orientation
Under the stated actions, D5×A3 with Z4 glue gives the even unimodular rank-8 E8 lattice; the half-spinor reading depends on the chosen group action.
Which connection is sought
Open items include physical boundary realization, a local interacting chiral 3+1D implementation, mirror decoupling, and derivation of the action from the origin.
How it connects
E8 carries internal clock, code, flavor, and arithmetic structures. Rank, representation, family count, and spacetime dimension remain distinct types.
Use abstract boson refinement as microscopic field derivation
A correct abstract lattice Fock operator does not identify the original QWZ state or charged sector. The earlier proxy fit also does not provide the required energy estimate.
For a new attempt: Construct actual B_N and local charged field from the microscopic algebra, then check refinement and actual energy norms. Do not substitute a freely chosen new coupling for the origin.
All four requested follow-ups are decided by complete field lifts, cut classification, maximal actual clock transport and shared projector identities.
For a new attempt: Open new cases only with explicitly changed object class or marking; retain the established P1/P2 derivation and global nonsplitting.
Joint associated object, exact transition composition, minimal Weyl closure, one cyclic lift class and relative12 transport are determined; full field phases do not remove the selection obstruction.
For a new attempt: For stronger or different goals specify the changed object class or an actually supplied new marking. No freely correcting line twist or silent freezing of every field vector.
All products and conformal vacuum data follow within the exact extension class; the internal clock remains distinct from conformal rotation.
For a new attempt: A stronger origin theorem requires an actual local identification of the primitive source with this class, not another freely constructed field model.
Reuse complete finite cut algebra and tetrahedron reconstruction
The full five orbitals are classified. MMt=NNt+24I directly proves lossless reconstruction from tetrahedron sums and locates the rank loss of the E7 view.
For a new attempt: Other cut classes or a distinguished input require explicit new premises; do not replace the proved incidence algebra by numerical coincidences.