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

Conditional result

Discrete classes are not a selected common connection

In the question: Seam connection and family action

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.

Original evidence

009-source.tex lines 128–171
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--02_carrier_source/sections/009-source.tex
27114e2ce775346dac11c53ecb77871453f3ecf226fe40951f8b3099bdea6b05
PROOF.md lines 34–56
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:joint-discrete-data-vs-connection