Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.
Standard Model and flavor
The published foundation in this area
18 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.
Family lattices, residue operators, windings, and shared seeds produce algebraic flavor structures and source-mass readouts. Their mapping to normalized, interacting 3+1D particle masses and full neutrino dynamics remains a separate bridge.
Starting structure in the Atlas orientation
The corpus contains family rank 3, discrete residues and operators, and selected ratio/source-mass readouts; φ0/λC are shared across sectors.
Which connection is sought
Open items are physical Yukawa and neutrino dynamics, absolute normalization, threshold/pole-mass transfer, and mapping to interacting 3+1D fields.
How it connects
Shared seeds with α and other sectors produce correlated predictions, not independent confirmations.
Applies to the documented derived discrete stratum and c_u/c_d; it does not determine U_f* or absolute amplitudes.
Read the exact result, assumptions and evidence
Result
The active TFPT text states that Q geometry, det R=8, and rigidity of c_u/c_d=55/117 are established on the derived stratum; the continuous wall point U_f* is needed only for absolute amplitude normalization. The ratio is not an open monodromy/amplitude calculation.
Required assumptions
P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
Only if the same marked family connection is irreducible and beta preserves it in parallel; without this added premise the 2+2 packet is not excluded. A noncommuting common source-derived connection remains open.
Read the exact result, assumptions and evidence
Result
Under the explicitly additional premise that beta preserves the fixed marked irreducible SU(3) family connection, its commutant is scalar and beta must have the 3+1 form diag(b,b,b,-3b). Thus a beta packet with eigenvalue multiplicities 2+2 is excluded under that premise only; no original parallelity rule follows.
Required assumptions
Common parallelity to irreducible family connection
Only for the commutant conclusion, assume additionally that the marked SU(3) family connection is irreducible and beta preserves it in the same marked frame. This is not an accepted P1/P2 axiom and must be derived from the source.
Applies to connecting discrete/topological classes to a concretely acting common carrier; it does not claim that the holonomy class asserted by the original theorem is undefined.
Read the exact result, assumptions and evidence
Result
The theorem lists [nabla_F*] and Chern classes in its singleton. The audited lift formula constructs the carrier action only once A_E is supplied; the original connection on the common carrier and Phi therefore remain to be specified as a source step.
Required assumptions
P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.