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.

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.

Read the foundational statements and sources

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.

Reviewed conclusions to explore

Established in scopeThe 55/117 ratio is closed; absolute scale remains a separate anchor Scoped exclusion2+2 excludes 3+1 only under common parallelity Conditional resultDiscrete classes are not a selected common connection

Reviewed results · Standard Model and flavor

All results Established Conditional Scoped exclusions

1 matching reviewed results

Scoped exclusion

2+2 excludes 3+1 only under common parallelity

In the question: Seam connection and family action

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.

Original evidence

004-source.tex lines 113–163
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--03_em_flavor_source/sections/004-source.tex
107d525221eb816043dbf4fb1a3c7e8244d3e24a5a5bcbfe1c2c34d8ee192f4a
PROOF.md lines 131–148
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/source-boundary-lift-selection-20260922/PROOF.md
2429cb31655e4d0711ba895825d740fe18f6a4e39677a987b61a5cd97c21addd
PROOF.md lines 168–170
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/source-boundary-lift-selection-20260922/PROOF.md
2429cb31655e4d0711ba895825d740fe18f6a4e39677a987b61a5cd97c21addd

finding:parallelity-excludes-2plus2-only-conditionally