Seam connection and family action
Does the joint discrete theorem determine a concrete connection and a family coupling compatible with the determinant seam action?
2 reviewed findings · 1 resolved tasks · 1 remaining tasks
Explore the foundations and current research.
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.
Read the foundational statements and sourcesThe 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.
Reviewed conclusions to explore
Established in scopeMarked DHR field reconstruction retains neutral words and canonical state/time liftEstablished in scopeActual native clock generates marked source spinor and minimal charge closureEstablished in scopeJoint spinor-meridian source word produces the actual family rootResearch questions in this area
Flavor ratio and absolute amplitude scale
Which flavor quantity is fixed on the derived discrete stratum, and which requires the continuous holonomy anchor?
1 reviewed findings · 1 resolved tasks · 1 remaining tasks
Alpha: derived terms, unique root and physical EM identification
Where do the factors and closed alpha equation come from, which provenance steps are proved, and which precise physical EM identification remains open?
5 reviewed findings · 2 resolved tasks · 1 remaining tasks
Clock action on charge, time and quarter transition
How does the actual Gaussian J act on the complete marked source?
2 reviewed findings · 1 resolved tasks · 1 remaining tasks
Constructive seam search: operators, state and source compatibility
What does the complete phase search decide, and which additional state information prevents a false source solution?
5 reviewed findings · 5 resolved tasks · 0 remaining tasks
Which partner actually belongs to the original seam?
Which charge, state type and time action belong to the root partner and original sheet pairing?
8 reviewed findings · 8 resolved tasks · 0 remaining tasks
Origin reverse selection, field dictionary and original P1 kernel
What does reverse selection of P1/P2 give for concrete local fields and multi-field responses, and which identification with the original P1 kernel has actually been proved?
7 reviewed findings · 2 resolved tasks · 0 remaining tasks
Formal carrier core: unbounded Pascal uniqueness and finite glue
Which carrier and glue statements are already present in the papers and Lean sources, and which physical selection does not follow?
2 reviewed findings · 2 resolved tasks · 0 remaining tasks
Active mathematical program: marked seam monodromies and lattice lifts
Which marked seam/lattice transport geometries, lift classes and local-coefficient invariants arise from existing clock/reflection/quartic data? First complete case: sign lifts of fourJ representation on CP1 minusμ4.
40 reviewed findings · 24 resolved tasks · 1 remaining tasks
Common clock sectors, quartic geometry and operational reconstruction
Which previously separate data of the original TFPT core follow from a common clock and representation geometry, and which complete finite measurement classification follows without asserting physical source selection?
249 reviewed findings · 36 resolved tasks · 1 remaining tasks