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.
Recognize neutral source space through actual current action and state
The sufficient all-word theorem with original frequency8, KMS zero-mode limit and actual local reflection scope is proved and checked. Do not repeat independent word matching in the already supplied free current space.
For a new attempt: Supply actual P1 insertion operators, common domain, local Weyl/CCR and actual H time Ward; do not insert a desired vacuum/KMS contract into P1. Retain original zero-mode law, delta and actual common second face for corresponding joint assertions. Isolated W8 can use a smaller direct image.
Use mixed currents in the existing field and complete constant time reduction
The free mixed route is constructed under the old fullCAR premise; constant product attachments are completely classified. Old normal index source and actual time Ward are checked together. Neither extend the old vector exclusion to mixed generators nor genetically search the same classified constant class again.
For a new attempt: Identify the already specified normal product/family pushforward, including connection/admissibility, in the actual original operator. Net index suffices only for the phase; an all-word/time source must test extra counter-modes and actual state. Extending to variable/dynamical operators requires an originally derived new premise.
Test quarter pairing against original filter and full boundary graph
Pairing and oriented full-graph conjugation are established conditionally. The external lowest block is not selected by the original highpass. Do not relabel standard linear algebra as a new origin.
For a new attempt: Derive original J,normal Clifford action,domain and actual P2 carrier map jointly. A different selection needs its original rule; no repeated search using a misread lowpass or transfer of balance to another internal type.
Reconstruct the full original field in geometric Clifford boundary type
Free and coupled full graph,entire even RP,and natural HS field chart with same geometric time are analytically closed. Do not reintroduce a free right source,J search,parity phase or inverse-time gap in this class. Physical P1 selection is not thereby proved.
For a new attempt: Identify the actual Clifford source rule,charge J/Pfaffian,markings and coupled dynamical state in original P1/P2. Test physical reflection and time jointly. Do not substitute a fixed bosonic background for quantized bosons or demand an extra measure or free Gaussianity universally.
Transport normal-dependent sources and mixed moments in fixed chart
The whole fixed product family is transported; do not search further constant filters or fitted crossing blocks.
For a new attempt: Insert original field integration and actual insertion map. Do not exclude an averaged interacting source by imposing free-projector purity.
Identify full OS time directly with compact geometric Dirac
Exact neutral occupation growth prevents any finite p-summability of this full H; the tested unitary time identification is excluded.
For a new attempt: Derive an actual one-particle map,direct field-net dictionary or separately justified D_coll with a time intertwiner. Do not infer exclusion of all P1 sources from this narrow test.
Reuse actual P2 and decoupled quarter source dictionary
Global SM representation and exact local subsource are matched; Phi e0 completely decides fixed constant channels. No repeated random channel search or rediscovery of old level4 finding.
For a new attempt: Derive original common source rule and actual field/sector map. Interacting state may change; preserve actual charges,Ward,reflection,time and original references for needed readouts. Do not replace whole cover data by spectra.