Progress Report: TLR Extended Lagrangian, Geometric Angle Scale, and Boundary Dynamics

The Two-Level Reality (TLR) model is a geometric projection approach for calculating baryon masses, based on the topology of strong interactions within Quantum Chromodynamics (QCD). This model computes baryon masses without empirical fits to experimental data, using only fixed parameters from fundamental sources. The initial minimal version was described in 2023, but by 2026, it has been updated to better account for diquark structure and spin symmetry. This allows reproducing mass trends, although for some baryons (like Λ \Lambda Λ and Λc \Lambda_c Λc) deviations remain, indicating the need for additional geometric corrections in the future. The key update: the projection angle g g g is assigned individually to each quark, depending on the system configuration (flavor composition, diquark type—scalar or vector, number of heavy quarks). This reflects SU(3)f _f f symmetry and makes the model more accurate without extra parameters. . [email protected] For communication, kindly use: [email protected] principal publication remains accessible at: https://doi.org/10.5281/zenodo.18461791.